Podcast
Questions and Answers
What is the defining feature of a scalene triangle?
What is the defining feature of a scalene triangle?
Which polygon has all interior angles less than 180 degrees?
Which polygon has all interior angles less than 180 degrees?
What is the distance across a circle through its center?
What is the distance across a circle through its center?
What type of quadrilateral has only one pair of opposite sides parallel?
What type of quadrilateral has only one pair of opposite sides parallel?
Signup and view all the answers
What is the term for a line segment within a circle that touches two points?
What is the term for a line segment within a circle that touches two points?
Signup and view all the answers
Which shape has four equal sides and four right angles?
Which shape has four equal sides and four right angles?
Signup and view all the answers
What is the term for checking for lines of symmetry in a shape?
What is the term for checking for lines of symmetry in a shape?
Signup and view all the answers
What is the distance around a circle?
What is the distance around a circle?
Signup and view all the answers
What is the primary focus of constructions in geometry?
What is the primary focus of constructions in geometry?
Signup and view all the answers
What tool is used to draw a circle with a given radius?
What tool is used to draw a circle with a given radius?
Signup and view all the answers
What is the sum of the interior angles of any quadrilateral?
What is the sum of the interior angles of any quadrilateral?
Signup and view all the answers
What is the name of the technique used to construct a perpendicular line to a given line?
What is the name of the technique used to construct a perpendicular line to a given line?
Signup and view all the answers
What is the name of the property that states the sum of the interior angles of a triangle is always 180°?
What is the name of the property that states the sum of the interior angles of a triangle is always 180°?
Signup and view all the answers
What is the name of the quadrilateral with all sides equal and opposite angles equal?
What is the name of the quadrilateral with all sides equal and opposite angles equal?
Signup and view all the answers
What technique is used to construct a 60° angle?
What technique is used to construct a 60° angle?
Signup and view all the answers
What is the name of the technique used to construct a triangle given two sides and the included angle?
What is the name of the technique used to construct a triangle given two sides and the included angle?
Signup and view all the answers
What is the name of the property that states the diagonals of a rectangle bisect each other?
What is the name of the property that states the diagonals of a rectangle bisect each other?
Signup and view all the answers
What is the name of the technique used to construct a tangent to a circle?
What is the name of the technique used to construct a tangent to a circle?
Signup and view all the answers
What is the sum of the interior angles of a quadrilateral?
What is the sum of the interior angles of a quadrilateral?
Signup and view all the answers
What is the term for a quadrilateral inscribed in a circle?
What is the term for a quadrilateral inscribed in a circle?
Signup and view all the answers
What is the triangle sum theorem?
What is the triangle sum theorem?
Signup and view all the answers
What is the definition of congruent shapes?
What is the definition of congruent shapes?
Signup and view all the answers
What is the purpose of drawing diagrams in problem-solving?
What is the purpose of drawing diagrams in problem-solving?
Signup and view all the answers
What is the theorem that states that the sum of the interior angles of a triangle is 180°?
What is the theorem that states that the sum of the interior angles of a triangle is 180°?
Signup and view all the answers
What is the term for a line that touches a circle at a single point?
What is the term for a line that touches a circle at a single point?
Signup and view all the answers
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
Signup and view all the answers
What is the term for a shape that has at least one line of symmetry?
What is the term for a shape that has at least one line of symmetry?
Signup and view all the answers
What is the first step in problem-solving?
What is the first step in problem-solving?
Signup and view all the answers
What is the criteria for congruent triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
What is the criteria for congruent triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
Signup and view all the answers
If two shapes have the same shape but not necessarily the same size, what is the term used to describe them?
If two shapes have the same shape but not necessarily the same size, what is the term used to describe them?
Signup and view all the answers
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
Signup and view all the answers
If two triangles have equal corresponding angles, what can be concluded about the triangles?
If two triangles have equal corresponding angles, what can be concluded about the triangles?
Signup and view all the answers
What is the criteria for similar triangles when two angles of one triangle are equal to two angles of another triangle?
What is the criteria for similar triangles when two angles of one triangle are equal to two angles of another triangle?
Signup and view all the answers
What is the term used to describe two shapes that have the same shape and size, meaning all corresponding sides and angles are equal?
What is the term used to describe two shapes that have the same shape and size, meaning all corresponding sides and angles are equal?
Signup and view all the answers
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
Signup and view all the answers
What is the term used to describe the process of using congruence criteria to justify the equality of sides and angles?
What is the term used to describe the process of using congruence criteria to justify the equality of sides and angles?
Signup and view all the answers
What is the term used to describe the process of determining if two shapes are similar by checking for proportionality of corresponding sides and equality of corresponding angles?
What is the term used to describe the process of determining if two shapes are similar by checking for proportionality of corresponding sides and equality of corresponding angles?
Signup and view all the answers
Which of the following is NOT a type of triangle?
Which of the following is NOT a type of triangle?
Signup and view all the answers
What is the primary method for classifying shapes?
What is the primary method for classifying shapes?
Signup and view all the answers
Which of the following polygons has unequal sides and angles?
Which of the following polygons has unequal sides and angles?
Signup and view all the answers
What is the term for a region bounded by two radii and an arc?
What is the term for a region bounded by two radii and an arc?
Signup and view all the answers
Which of the following quadrilaterals has four right angles?
Which of the following quadrilaterals has four right angles?
Signup and view all the answers
What is the term for checking for lines of symmetry in a shape?
What is the term for checking for lines of symmetry in a shape?
Signup and view all the answers
Which of the following is a property of a kite?
Which of the following is a property of a kite?
Signup and view all the answers
What is the term for a shape with at least one line of symmetry?
What is the term for a shape with at least one line of symmetry?
Signup and view all the answers
What is the main purpose of constructions in geometry?
What is the main purpose of constructions in geometry?
Signup and view all the answers
What is the name of the technique used to construct a 90° angle?
What is the name of the technique used to construct a 90° angle?
Signup and view all the answers
What is the characteristic of a rectangle that is not present in a parallelogram?
What is the characteristic of a rectangle that is not present in a parallelogram?
Signup and view all the answers
In which type of quadrilateral do opposite angles sum to 180°?
In which type of quadrilateral do opposite angles sum to 180°?
Signup and view all the answers
What is the property of a circle that is used to construct a tangent to it?
What is the property of a circle that is used to construct a tangent to it?
Signup and view all the answers
What is the purpose of using theorems and properties in geometry?
What is the purpose of using theorems and properties in geometry?
Signup and view all the answers
What is the difference between congruent and similar triangles?
What is the difference between congruent and similar triangles?
Signup and view all the answers
What is the purpose of investigating properties of geometric figures?
What is the purpose of investigating properties of geometric figures?
Signup and view all the answers
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
Signup and view all the answers
What is the name of the technique used to construct a triangle given two sides and the included angle?
What is the name of the technique used to construct a triangle given two sides and the included angle?
Signup and view all the answers
What is the first step in solving a geometry problem?
What is the first step in solving a geometry problem?
Signup and view all the answers
What is the characteristic of a rhombus that is not present in a square?
What is the characteristic of a rhombus that is not present in a square?
Signup and view all the answers
What is the term used to describe a shape that has at least one line of symmetry?
What is the term used to describe a shape that has at least one line of symmetry?
Signup and view all the answers
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
Signup and view all the answers
What is the name of the technique used to construct a perpendicular line to a given line?
What is the name of the technique used to construct a perpendicular line to a given line?
Signup and view all the answers
What is the sum of the interior angles of a triangle?
What is the sum of the interior angles of a triangle?
Signup and view all the answers
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
Signup and view all the answers
What is the sum of the interior angles of a triangle?
What is the sum of the interior angles of a triangle?
Signup and view all the answers
What is the term used to describe a line that touches a circle at a single point?
What is the term used to describe a line that touches a circle at a single point?
Signup and view all the answers
What is the term used to describe two shapes that have the same shape and size?
What is the term used to describe two shapes that have the same shape and size?
Signup and view all the answers
What is the minimum number of sides that must be equal for two triangles to be congruent according to the SSS criterion?
What is the minimum number of sides that must be equal for two triangles to be congruent according to the SSS criterion?
Signup and view all the answers
If two triangles have proportional corresponding sides, what can be concluded about the triangles?
If two triangles have proportional corresponding sides, what can be concluded about the triangles?
Signup and view all the answers
What is the purpose of using congruence criteria in problem-solving?
What is the purpose of using congruence criteria in problem-solving?
Signup and view all the answers
If two triangles have two equal angles and the included sides are proportional, what can be concluded about the triangles?
If two triangles have two equal angles and the included sides are proportional, what can be concluded about the triangles?
Signup and view all the answers
What is the term used to describe the process of using similarity criteria to justify the proportionality of sides and equality of angles?
What is the term used to describe the process of using similarity criteria to justify the proportionality of sides and equality of angles?
Signup and view all the answers
If two triangles have equal corresponding sides and angles, what can be concluded about the triangles?
If two triangles have equal corresponding sides and angles, what can be concluded about the triangles?
Signup and view all the answers
What is the purpose of using similarity criteria in problem-solving?
What is the purpose of using similarity criteria in problem-solving?
Signup and view all the answers
If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded about the triangles?
If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded about the triangles?
Signup and view all the answers
What is the term used to describe the process of finding missing side lengths or angles in geometric figures using congruence?
What is the term used to describe the process of finding missing side lengths or angles in geometric figures using congruence?
Signup and view all the answers
What is the primary way to classify a 2D shape?
What is the primary way to classify a 2D shape?
Signup and view all the answers
Which type of quadrilateral has all sides equal and opposite equal angles?
Which type of quadrilateral has all sides equal and opposite equal angles?
Signup and view all the answers
What is the term for a part of the circumference of a circle?
What is the term for a part of the circumference of a circle?
Signup and view all the answers
What is the characteristic of a convex polygon?
What is the characteristic of a convex polygon?
Signup and view all the answers
Which type of triangle has two sides and two angles equal?
Which type of triangle has two sides and two angles equal?
Signup and view all the answers
What is the term for a region bounded by a chord and an arc?
What is the term for a region bounded by a chord and an arc?
Signup and view all the answers
What is the primary method for checking symmetry in a shape?
What is the primary method for checking symmetry in a shape?
Signup and view all the answers
Which type of polygon has all sides and angles equal?
Which type of polygon has all sides and angles equal?
Signup and view all the answers
What is the primary tool used to draw a circle with a given radius?
What is the primary tool used to draw a circle with a given radius?
Signup and view all the answers
Which of the following shapes can be constructed using the properties of triangles and parallel lines?
Which of the following shapes can be constructed using the properties of triangles and parallel lines?
Signup and view all the answers
What is the term used to describe the process of examining the attributes, relationships, and characteristics of various shapes?
What is the term used to describe the process of examining the attributes, relationships, and characteristics of various shapes?
Signup and view all the answers
Which of the following techniques is used to construct a bisector of an angle?
Which of the following techniques is used to construct a bisector of an angle?
Signup and view all the answers
What is the term used to describe the property of a quadrilateral where opposite sides are equal and parallel?
What is the term used to describe the property of a quadrilateral where opposite sides are equal and parallel?
Signup and view all the answers
Which of the following shapes can be constructed using a combination of techniques for constructing angles, sides, and parallel lines?
Which of the following shapes can be constructed using a combination of techniques for constructing angles, sides, and parallel lines?
Signup and view all the answers
What is the term used to describe the process of constructing a line perpendicular to the radius at the point of tangency?
What is the term used to describe the process of constructing a line perpendicular to the radius at the point of tangency?
Signup and view all the answers
Which of the following shapes has a property where the sum of the interior angles is always 180°?
Which of the following shapes has a property where the sum of the interior angles is always 180°?
Signup and view all the answers
What is the term used to describe the process of constructing a triangle given two sides and the included angle?
What is the term used to describe the process of constructing a triangle given two sides and the included angle?
Signup and view all the answers
Which of the following shapes has a property where the diagonals bisect each other at right angles?
Which of the following shapes has a property where the diagonals bisect each other at right angles?
Signup and view all the answers
What is the key to solving problems related to geometric figures?
What is the key to solving problems related to geometric figures?
Signup and view all the answers
What is the sum of the interior angles of a cyclic quadrilateral?
What is the sum of the interior angles of a cyclic quadrilateral?
Signup and view all the answers
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference?
Signup and view all the answers
What is the primary focus of constructions in geometry?
What is the primary focus of constructions in geometry?
Signup and view all the answers
What is the term for a shape that has at least one line of symmetry?
What is the term for a shape that has at least one line of symmetry?
Signup and view all the answers
What is the purpose of drawing diagrams in problem-solving?
What is the purpose of drawing diagrams in problem-solving?
Signup and view all the answers
What is the definition of congruent shapes?
What is the definition of congruent shapes?
Signup and view all the answers
What is the first step in problem-solving?
What is the first step in problem-solving?
Signup and view all the answers
What is the term for a line that touches a circle at a single point?
What is the term for a line that touches a circle at a single point?
Signup and view all the answers
What is the term for a shape that has all sides equal and opposite angles equal?
What is the term for a shape that has all sides equal and opposite angles equal?
Signup and view all the answers
What is the primary way to prove that two triangles are congruent?
What is the primary way to prove that two triangles are congruent?
Signup and view all the answers
What is the key characteristic of similar shapes?
What is the key characteristic of similar shapes?
Signup and view all the answers
What is the purpose of using scale factors in similar shapes?
What is the purpose of using scale factors in similar shapes?
Signup and view all the answers
What is the main application of congruent shapes in real-world problems?
What is the main application of congruent shapes in real-world problems?
Signup and view all the answers
What is the primary difference between congruent and similar shapes?
What is the primary difference between congruent and similar shapes?
Signup and view all the answers
What is the criteria for similar triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
What is the criteria for similar triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
Signup and view all the answers
What is the purpose of using congruence criteria in problem-solving?
What is the purpose of using congruence criteria in problem-solving?
Signup and view all the answers
What is the key step in solving problems involving similar shapes?
What is the key step in solving problems involving similar shapes?
Signup and view all the answers
What is the main advantage of using similar shapes in problem-solving?
What is the main advantage of using similar shapes in problem-solving?
Signup and view all the answers
What is the primary use of congruence criteria in geometry?
What is the primary use of congruence criteria in geometry?
Signup and view all the answers
What is the primary difference between constructing a 60° angle and a 90° angle?
What is the primary difference between constructing a 60° angle and a 90° angle?
Signup and view all the answers
What is the key characteristic of a parallelogram that is used to construct its diagonals?
What is the key characteristic of a parallelogram that is used to construct its diagonals?
Signup and view all the answers
What is the result of bisecting an angle using a compass and straightedge?
What is the result of bisecting an angle using a compass and straightedge?
Signup and view all the answers
What is the fundamental property of a triangle that is used to construct its angles?
What is the fundamental property of a triangle that is used to construct its angles?
Signup and view all the answers
What is the necessary condition for two triangles to be congruent under the SAS criterion?
What is the necessary condition for two triangles to be congruent under the SAS criterion?
Signup and view all the answers
What is the technique used to construct a triangle given two sides and the included angle?
What is the technique used to construct a triangle given two sides and the included angle?
Signup and view all the answers
What is the primary difference between congruent and similar shapes?
What is the primary difference between congruent and similar shapes?
Signup and view all the answers
What is the purpose of using the scale factor in solving problems with similar shapes?
What is the purpose of using the scale factor in solving problems with similar shapes?
Signup and view all the answers
What is the primary difference between constructing a triangle and constructing a quadrilateral?
What is the primary difference between constructing a triangle and constructing a quadrilateral?
Signup and view all the answers
What is the property of a circle that is used to construct a tangent to it?
What is the property of a circle that is used to construct a tangent to it?
Signup and view all the answers
What is the necessary condition for two triangles to be similar under the AA criterion?
What is the necessary condition for two triangles to be similar under the AA criterion?
Signup and view all the answers
What is the primary application of congruent shapes in real-world problems?
What is the primary application of congruent shapes in real-world problems?
Signup and view all the answers
What is the criteria for congruent triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
What is the criteria for congruent triangles when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
Signup and view all the answers
What is the necessary condition for two triangles to be congruent under the AAS criterion?
What is the necessary condition for two triangles to be congruent under the AAS criterion?
Signup and view all the answers
What is the key concept used to construct a quadrilateral given specific properties?
What is the key concept used to construct a quadrilateral given specific properties?
Signup and view all the answers
What is the primary difference between the RHS and AAS criteria for congruence?
What is the primary difference between the RHS and AAS criteria for congruence?
Signup and view all the answers
What is the fundamental property of a quadrilateral that is used to construct its angles?
What is the fundamental property of a quadrilateral that is used to construct its angles?
Signup and view all the answers
What is the primary application of similar shapes in real-world problems?
What is the primary application of similar shapes in real-world problems?
Signup and view all the answers
What is the necessary condition for two triangles to be similar under the SSS criterion?
What is the necessary condition for two triangles to be similar under the SSS criterion?
Signup and view all the answers
What is the primary method for proving the congruence of two shapes?
What is the primary method for proving the congruence of two shapes?
Signup and view all the answers
What is the relationship between the measure of a central angle and the measure of its intercepted arc in a circle?
What is the relationship between the measure of a central angle and the measure of its intercepted arc in a circle?
Signup and view all the answers
What is the sum of the interior angles of a cyclic quadrilateral?
What is the sum of the interior angles of a cyclic quadrilateral?
Signup and view all the answers
What is the purpose of using theorems and properties in geometry?
What is the purpose of using theorems and properties in geometry?
Signup and view all the answers
What is the term for a shape that has line symmetry and rotational symmetry?
What is the term for a shape that has line symmetry and rotational symmetry?
Signup and view all the answers
What is the process of using congruence criteria to justify the equality of sides and angles?
What is the process of using congruence criteria to justify the equality of sides and angles?
Signup and view all the answers
What is the term for a shape with at least one line of symmetry?
What is the term for a shape with at least one line of symmetry?
Signup and view all the answers
What is the purpose of drawing diagrams in problem-solving?
What is the purpose of drawing diagrams in problem-solving?
Signup and view all the answers
What is the term for a quadrilateral with all sides equal and opposite angles equal?
What is the term for a quadrilateral with all sides equal and opposite angles equal?
Signup and view all the answers
What is the term for a shape that has the same shape and size, meaning all corresponding sides and angles are equal?
What is the term for a shape that has the same shape and size, meaning all corresponding sides and angles are equal?
Signup and view all the answers
What is the term for the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
What is the term for the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
Signup and view all the answers
What is the primary method for classifying a 2D shape?
What is the primary method for classifying a 2D shape?
Signup and view all the answers
Which type of triangle has two pairs of equal adjacent sides?
Which type of triangle has two pairs of equal adjacent sides?
Signup and view all the answers
What is the term for a shape with all interior angles less than 180 degrees?
What is the term for a shape with all interior angles less than 180 degrees?
Signup and view all the answers
Which type of quadrilateral has opposite sides that are equal and parallel?
Which type of quadrilateral has opposite sides that are equal and parallel?
Signup and view all the answers
What is the term for a region bounded by a chord and an arc?
What is the term for a region bounded by a chord and an arc?
Signup and view all the answers
What is the primary method for checking the symmetry of a shape?
What is the primary method for checking the symmetry of a shape?
Signup and view all the answers
Which type of polygon has all sides and angles equal?
Which type of polygon has all sides and angles equal?
Signup and view all the answers
What is the term for a shape with two pairs of equal opposite sides and equal opposite angles?
What is the term for a shape with two pairs of equal opposite sides and equal opposite angles?
Signup and view all the answers
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
Signup and view all the answers
Which of the following shapes does not have line symmetry?
Which of the following shapes does not have line symmetry?
Signup and view all the answers
What is the primary method for classifying shapes by their properties?
What is the primary method for classifying shapes by their properties?
Signup and view all the answers
What is the term used to describe a shape with at least one line of symmetry?
What is the term used to describe a shape with at least one line of symmetry?
Signup and view all the answers
Which of the following is a characteristic of a concave polygon?
Which of the following is a characteristic of a concave polygon?
Signup and view all the answers
What is the term used to describe a region bounded by a chord and an arc?
What is the term used to describe a region bounded by a chord and an arc?
Signup and view all the answers
Which of the following shapes is characterized by two pairs of adjacent sides being equal?
Which of the following shapes is characterized by two pairs of adjacent sides being equal?
Signup and view all the answers
What is the term used to describe the process of identifying sides that are parallel or perpendicular?
What is the term used to describe the process of identifying sides that are parallel or perpendicular?
Signup and view all the answers
Which of the following techniques is used to construct a triangle given two sides and the included angle?
Which of the following techniques is used to construct a triangle given two sides and the included angle?
Signup and view all the answers
What is the name of the property that states the sum of the interior angles of a quadrilateral is always 360°?
What is the name of the property that states the sum of the interior angles of a quadrilateral is always 360°?
Signup and view all the answers
Which of the following shapes has all sides equal and opposite angles equal?
Which of the following shapes has all sides equal and opposite angles equal?
Signup and view all the answers
What is the name of the technique used to construct a perpendicular line to a given line?
What is the name of the technique used to construct a perpendicular line to a given line?
Signup and view all the answers
Which of the following is a property of a rectangle that is not present in a parallelogram?
Which of the following is a property of a rectangle that is not present in a parallelogram?
Signup and view all the answers
What is the name of the technique used to construct a 60° angle?
What is the name of the technique used to construct a 60° angle?
Signup and view all the answers
Which of the following is a characteristic of a kite?
Which of the following is a characteristic of a kite?
Signup and view all the answers
What is the purpose of using congruence criteria in geometry?
What is the purpose of using congruence criteria in geometry?
Signup and view all the answers
Which of the following shapes has at least one line of symmetry?
Which of the following shapes has at least one line of symmetry?
Signup and view all the answers
What is the name of the technique used to construct a tangent to a circle?
What is the name of the technique used to construct a tangent to a circle?
Signup and view all the answers
If two triangles have proportionate sides and one equal angle, which congruence criterion can be used to prove they are congruent?
If two triangles have proportionate sides and one equal angle, which congruence criterion can be used to prove they are congruent?
Signup and view all the answers
What is the minimum number of congruent sides required to prove that two triangles are congruent using the SSS criterion?
What is the minimum number of congruent sides required to prove that two triangles are congruent using the SSS criterion?
Signup and view all the answers
What is the relationship between the central angle and the angle subtended at any point on the circumference of a circle?
What is the relationship between the central angle and the angle subtended at any point on the circumference of a circle?
Signup and view all the answers
If two triangles have equal corresponding angles, which similarity criterion can be used to prove they are similar?
If two triangles have equal corresponding angles, which similarity criterion can be used to prove they are similar?
Signup and view all the answers
What is the name of the quadrilateral in which opposite angles sum to 180°?
What is the name of the quadrilateral in which opposite angles sum to 180°?
Signup and view all the answers
What is the purpose of using the RHS criterion in congruent triangles?
What is the purpose of using the RHS criterion in congruent triangles?
Signup and view all the answers
If two shapes are similar, what can be said about their corresponding angles?
If two shapes are similar, what can be said about their corresponding angles?
Signup and view all the answers
What is the primary focus of problem-solving in geometry?
What is the primary focus of problem-solving in geometry?
Signup and view all the answers
What is the term used to describe the process of using properties of congruent shapes to solve problems?
What is the term used to describe the process of using properties of congruent shapes to solve problems?
Signup and view all the answers
What is the term used to describe the process of determining the scale factor between similar shapes?
What is the term used to describe the process of determining the scale factor between similar shapes?
Signup and view all the answers
If two triangles have proportionate sides, which similarity criterion can be used to prove they are similar?
If two triangles have proportionate sides, which similarity criterion can be used to prove they are similar?
Signup and view all the answers
What is the property of a circle that is used to construct a tangent to it?
What is the property of a circle that is used to construct a tangent to it?
Signup and view all the answers
What is the purpose of using the AAS criterion in congruent triangles?
What is the purpose of using the AAS criterion in congruent triangles?
Signup and view all the answers
What is the term used to describe two shapes that have the same shape and size?
What is the term used to describe two shapes that have the same shape and size?
Signup and view all the answers
If two triangles are similar, what can be said about their corresponding sides?
If two triangles are similar, what can be said about their corresponding sides?
Signup and view all the answers
What is the purpose of drawing diagrams in problem-solving?
What is the purpose of drawing diagrams in problem-solving?
Signup and view all the answers
What is the term used to describe the process of using properties of similar shapes to solve problems?
What is the term used to describe the process of using properties of similar shapes to solve problems?
Signup and view all the answers
What is the name of the theorem that states that the sum of the interior angles of a quadrilateral is 360°?
What is the name of the theorem that states that the sum of the interior angles of a quadrilateral is 360°?
Signup and view all the answers
What is the term used to describe a shape that has at least one line of symmetry?
What is the term used to describe a shape that has at least one line of symmetry?
Signup and view all the answers
What is the primary method for classifying shapes?
What is the primary method for classifying shapes?
Signup and view all the answers
Which of the following properties is common to both a square and a kite?
Which of the following properties is common to both a square and a kite?
Signup and view all the answers
What is the characteristic of a concave polygon?
What is the characteristic of a concave polygon?
Signup and view all the answers
What is the term for a line segment that connects two points on a circle?
What is the term for a line segment that connects two points on a circle?
Signup and view all the answers
Which type of triangle has one angle that is 90 degrees?
Which type of triangle has one angle that is 90 degrees?
Signup and view all the answers
What is the term for a shape that has rotational symmetry?
What is the term for a shape that has rotational symmetry?
Signup and view all the answers
What is the term for the region bounded by a chord and an arc?
What is the term for the region bounded by a chord and an arc?
Signup and view all the answers
Which of the following quadrilaterals has opposite sides that are equal and parallel?
Which of the following quadrilaterals has opposite sides that are equal and parallel?
Signup and view all the answers
What is the term for the distance from the center to any point on a circle?
What is the term for the distance from the center to any point on a circle?
Signup and view all the answers
If two circles have the same center, what can be said about the lines connecting the corresponding points on the circumferences?
If two circles have the same center, what can be said about the lines connecting the corresponding points on the circumferences?
Signup and view all the answers
What is the minimum number of sides required to form a cyclic quadrilateral?
What is the minimum number of sides required to form a cyclic quadrilateral?
Signup and view all the answers
What is the term for the angle subtended by an arc at the center of a circle?
What is the term for the angle subtended by an arc at the center of a circle?
Signup and view all the answers
If two shapes are congruent, what can be said about their corresponding sides?
If two shapes are congruent, what can be said about their corresponding sides?
Signup and view all the answers
What is the term for the process of applying theorems to prove properties of geometric figures?
What is the term for the process of applying theorems to prove properties of geometric figures?
Signup and view all the answers
What is the purpose of drawing diagrams in problem-solving?
What is the purpose of drawing diagrams in problem-solving?
Signup and view all the answers
What is the term for the line segment that connects two points on the circumference of a circle?
What is the term for the line segment that connects two points on the circumference of a circle?
Signup and view all the answers
What is the term for the quadrilateral that has all its interior angles less than 180°?
What is the term for the quadrilateral that has all its interior angles less than 180°?
Signup and view all the answers
What is the term for the process of using geometric tools to construct shapes accurately?
What is the term for the process of using geometric tools to construct shapes accurately?
Signup and view all the answers
What is the term for the shape that has at least one line of symmetry?
What is the term for the shape that has at least one line of symmetry?
Signup and view all the answers
What is the primary method of constructing a quadrilateral with given specific properties?
What is the primary method of constructing a quadrilateral with given specific properties?
Signup and view all the answers
What is the purpose of bisecting an angle in constructions?
What is the purpose of bisecting an angle in constructions?
Signup and view all the answers
What is the characteristic of a rhombus that is not present in a square?
What is the characteristic of a rhombus that is not present in a square?
Signup and view all the answers
What is the technique used to construct a triangle given two sides and the included angle?
What is the technique used to construct a triangle given two sides and the included angle?
Signup and view all the answers
What is the property of a parallelogram that is not present in a rectangle?
What is the property of a parallelogram that is not present in a rectangle?
Signup and view all the answers
What is the name of the technique used to construct a perpendicular line to a given line?
What is the name of the technique used to construct a perpendicular line to a given line?
Signup and view all the answers
What is the characteristic of a trapezium that is not present in a kite?
What is the characteristic of a trapezium that is not present in a kite?
Signup and view all the answers
What is the purpose of constructing a circle with a given radius?
What is the purpose of constructing a circle with a given radius?
Signup and view all the answers
What is the property of a square that is not present in a rectangle?
What is the property of a square that is not present in a rectangle?
Signup and view all the answers
What is the technique used to construct a tangent to a circle?
What is the technique used to construct a tangent to a circle?
Signup and view all the answers
What is the condition for two triangles to be congruent when one angle and the included side of one triangle are equal to one angle and the included side of another triangle?
What is the condition for two triangles to be congruent when one angle and the included side of one triangle are equal to one angle and the included side of another triangle?
Signup and view all the answers
What is the criteria for similar triangles when two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle?
What is the criteria for similar triangles when two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle?
Signup and view all the answers
What is the purpose of using congruence criteria in problem-solving?
What is the purpose of using congruence criteria in problem-solving?
Signup and view all the answers
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
What is the term used to describe the process of determining the scale factor between similar shapes by comparing the lengths of corresponding sides?
Signup and view all the answers
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
What is the criteria for congruent triangles when the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle?
Signup and view all the answers
What is the term used to describe two shapes that have the same shape and size, meaning all corresponding sides and angles are equal?
What is the term used to describe two shapes that have the same shape and size, meaning all corresponding sides and angles are equal?
Signup and view all the answers
What is the purpose of using similarity criteria in problem-solving?
What is the purpose of using similarity criteria in problem-solving?
Signup and view all the answers
What is the condition for two triangles to be similar when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
What is the condition for two triangles to be similar when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
Signup and view all the answers
What is the term used to describe the process of using congruence criteria to justify the equality of sides and angles?
What is the term used to describe the process of using congruence criteria to justify the equality of sides and angles?
Signup and view all the answers
What is the term used to describe the process of determining if two shapes are similar by checking for proportionality of corresponding sides and equality of corresponding angles?
What is the term used to describe the process of determining if two shapes are similar by checking for proportionality of corresponding sides and equality of corresponding angles?
Signup and view all the answers