Math Gr 8 Ch 10 SUM: Geometric Shapes
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Math Gr 8 Ch 10 SUM: Geometric Shapes

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Questions and Answers

What is the defining feature of a scalene triangle?

  • All sides and angles are different. (correct)
  • All sides and angles are equal.
  • Two sides and two angles are equal.
  • One angle is 90 degrees.

    • Which polygon has all interior angles less than 180 degrees?

  • Regular polygon
  • Irregular polygon
  • Concave polygon
  • Convex polygon (correct)

    • What is the distance across a circle through its center?

  • Chord
  • Diameter (correct)
  • Radius
  • Circumference

    • What type of quadrilateral has only one pair of opposite sides parallel?

    <p>Trapezium (Trapezoid)</p> Signup and view all the answers

    What is the term for a line segment within a circle that touches two points?

    <p>Chord</p> Signup and view all the answers

    Which shape has four equal sides and four right angles?

    <p>Square</p> Signup and view all the answers

    What is the term for checking for lines of symmetry in a shape?

    <p>Line symmetry</p> Signup and view all the answers

    What is the distance around a circle?

    <p>Circumference</p> Signup and view all the answers

    What is the primary focus of constructions in geometry?

    <p>Creating accurate shapes, angles, and lines</p> Signup and view all the answers

    What tool is used to draw a circle with a given radius?

    <p>Compass</p> Signup and view all the answers

    What is the sum of the interior angles of any quadrilateral?

    <p>360°</p> Signup and view all the answers

    What is the name of the technique used to construct a perpendicular line to a given line?

    <p>Perpendicular bisector</p> 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°?

    <p>Angle sum property</p> Signup and view all the answers

    What is the name of the quadrilateral with all sides equal and opposite angles equal?

    <p>Rhombus</p> Signup and view all the answers

    What technique is used to construct a 60° angle?

    <p>Drawing an equilateral triangle</p> 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?

    <p>SAS</p> Signup and view all the answers

    What is the name of the property that states the diagonals of a rectangle bisect each other?

    <p>Special property of a rectangle</p> Signup and view all the answers

    What is the name of the technique used to construct a tangent to a circle?

    <p>Constructing a line perpendicular to the radius at the point of tangency</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral?

    <p>360°</p> Signup and view all the answers

    What is the term for a quadrilateral inscribed in a circle?

    <p>Cyclic quadrilateral</p> Signup and view all the answers

    What is the triangle sum theorem?

    <p>The sum of the interior angles of a triangle is 180°</p> Signup and view all the answers

    What is the definition of congruent shapes?

    <p>Shapes that have the same shape and size</p> Signup and view all the answers

    What is the purpose of drawing diagrams in problem-solving?

    <p>To visualize the problem and label known and unknown measurements</p> Signup and view all the answers

    What is the theorem that states that the sum of the interior angles of a triangle is 180°?

    <p>Triangle sum theorem</p> Signup and view all the answers

    What is the term for a line that touches a circle at a single point?

    <p>Tangent</p> 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?

    <p>The angle at the center is twice the angle at the circumference</p> Signup and view all the answers

    What is the term for a shape that has at least one line of symmetry?

    <p>Symmetric shape</p> Signup and view all the answers

    What is the first step in problem-solving?

    <p>Understand the problem</p> 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?

    <p>ASA</p> 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?

    <p>Similar</p> 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?

    <p>Scaling</p> Signup and view all the answers

    If two triangles have equal corresponding angles, what can be concluded about the triangles?

    <p>They are similar</p> 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?

    <p>AA</p> 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?

    <p>Congruent</p> 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?

    <p>RHS</p> 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?

    <p>Proving</p> 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?

    <p>Identifying</p> Signup and view all the answers

    Which of the following is NOT a type of triangle?

    <p>Parallelogram</p> Signup and view all the answers

    What is the primary method for classifying shapes?

    <p>All of the above</p> Signup and view all the answers

    Which of the following polygons has unequal sides and angles?

    <p>Irregular Polygon</p> Signup and view all the answers

    What is the term for a region bounded by two radii and an arc?

    <p>Sector</p> Signup and view all the answers

    Which of the following quadrilaterals has four right angles?

    <p>Square</p> Signup and view all the answers

    What is the term for checking for lines of symmetry in a shape?

    <p>Line Symmetry</p> Signup and view all the answers

    Which of the following is a property of a kite?

    <p>Two pairs of adjacent sides are equal</p> Signup and view all the answers

    What is the term for a shape with at least one line of symmetry?

    <p>Symmetrical Shape</p> Signup and view all the answers

    What is the main purpose of constructions in geometry?

    <p>To create precise figures using specific tools and methods</p> Signup and view all the answers

    What is the name of the technique used to construct a 90° angle?

    <p>Perpendicular bisector</p> Signup and view all the answers

    What is the characteristic of a rectangle that is not present in a parallelogram?

    <p>All angles are 90°</p> Signup and view all the answers

    In which type of quadrilateral do opposite angles sum to 180°?

    <p>Cyclic Quadrilateral</p> Signup and view all the answers

    What is the property of a circle that is used to construct a tangent to it?

    <p>The radius of the circle is perpendicular to the tangent</p> Signup and view all the answers

    What is the purpose of using theorems and properties in geometry?

    <p>All of the above</p> Signup and view all the answers

    What is the difference between congruent and similar triangles?

    <p>Congruent triangles have the same shape and size, while similar triangles have the same shape but not necessarily the same size</p> Signup and view all the answers

    What is the purpose of investigating properties of geometric figures?

    <p>To understand how different shapes interact and relate to each other</p> 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?

    <p>The angle at the center is twice the angle at the circumference</p> 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?

    <p>SAS (Side-Angle-Side)</p> Signup and view all the answers

    What is the first step in solving a geometry problem?

    <p>Draw a diagram</p> Signup and view all the answers

    What is the characteristic of a rhombus that is not present in a square?

    <p>All angles are 90°</p> Signup and view all the answers

    What is the term used to describe a shape that has at least one line of symmetry?

    <p>Symmetrical shape</p> 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?

    <p>RHS congruence</p> Signup and view all the answers

    What is the name of the technique used to construct a perpendicular line to a given line?

    <p>Using a set square</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180°</p> 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?

    <p>Similarity ratio</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180°</p> Signup and view all the answers

    What is the term used to describe a line that touches a circle at a single point?

    <p>Tangent</p> Signup and view all the answers

    What is the term used to describe two shapes that have the same shape and size?

    <p>Congruent</p> 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?

    <p>3</p> Signup and view all the answers

    If two triangles have proportional corresponding sides, what can be concluded about the triangles?

    <p>They are similar</p> Signup and view all the answers

    What is the purpose of using congruence criteria in problem-solving?

    <p>To determine if two shapes are congruent</p> 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?

    <p>They are similar</p> 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?

    <p>Proving similarity</p> Signup and view all the answers

    If two triangles have equal corresponding sides and angles, what can be concluded about the triangles?

    <p>They are congruent</p> Signup and view all the answers

    What is the purpose of using similarity criteria in problem-solving?

    <p>To determine if two shapes are similar</p> Signup and view all the answers

    If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded about the triangles?

    <p>They are similar</p> 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?

    <p>Using properties of congruent shapes</p> Signup and view all the answers

    What is the primary way to classify a 2D shape?

    <p>By its properties such as sides, angles, and symmetry</p> Signup and view all the answers

    Which type of quadrilateral has all sides equal and opposite equal angles?

    <p>Rhombus</p> Signup and view all the answers

    What is the term for a part of the circumference of a circle?

    <p>Arc</p> Signup and view all the answers

    What is the characteristic of a convex polygon?

    <p>All interior angles are less than 180 degrees</p> Signup and view all the answers

    Which type of triangle has two sides and two angles equal?

    <p>Isosceles Triangle</p> Signup and view all the answers

    What is the term for a region bounded by a chord and an arc?

    <p>Segment</p> Signup and view all the answers

    What is the primary method for checking symmetry in a shape?

    <p>Checking for lines of symmetry</p> Signup and view all the answers

    Which type of polygon has all sides and angles equal?

    <p>Regular Polygon</p> Signup and view all the answers

    What is the primary tool used to draw a circle with a given radius?

    <p>Compass</p> Signup and view all the answers

    Which of the following shapes can be constructed using the properties of triangles and parallel lines?

    <p>Rectangle</p> 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?

    <p>Investigation</p> Signup and view all the answers

    Which of the following techniques is used to construct a bisector of an angle?

    <p>Angle bisector</p> 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?

    <p>Parallelogram</p> 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?

    <p>Parallelogram</p> 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?

    <p>Tangent construction</p> Signup and view all the answers

    Which of the following shapes has a property where the sum of the interior angles is always 180°?

    <p>Triangle</p> 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?

    <p>SAS construction</p> Signup and view all the answers

    Which of the following shapes has a property where the diagonals bisect each other at right angles?

    <p>Square</p> Signup and view all the answers

    What is the key to solving problems related to geometric figures?

    <p>Applying theorems and properties to find unknown measurements and prove geometric statements</p> Signup and view all the answers

    What is the sum of the interior angles of a cyclic quadrilateral?

    <p>360°</p> 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?

    <p>The angle at the center is twice the angle at the circumference</p> Signup and view all the answers

    What is the primary focus of constructions in geometry?

    <p>To draw shapes accurately</p> Signup and view all the answers

    What is the term for a shape that has at least one line of symmetry?

    <p>Symmetrical</p> Signup and view all the answers

    What is the purpose of drawing diagrams in problem-solving?

    <p>To visualize the problem</p> Signup and view all the answers

    What is the definition of congruent shapes?

    <p>Shapes with the same shape and size</p> Signup and view all the answers

    What is the first step in problem-solving?

    <p>Understand the problem</p> Signup and view all the answers

    What is the term for a line that touches a circle at a single point?

    <p>Tangent</p> Signup and view all the answers

    What is the term for a shape that has all sides equal and opposite angles equal?

    <p>Rhombus</p> Signup and view all the answers

    What is the primary way to prove that two triangles are congruent?

    <p>By using the criteria for congruent triangles, such as SSS, SAS, ASA, AAS, and RHS</p> Signup and view all the answers

    What is the key characteristic of similar shapes?

    <p>They have the same shape but not necessarily the same size</p> Signup and view all the answers

    What is the purpose of using scale factors in similar shapes?

    <p>To scale shapes up or down</p> Signup and view all the answers

    What is the main application of congruent shapes in real-world problems?

    <p>Designing patterns and creating tiling designs</p> Signup and view all the answers

    What is the primary difference between congruent and similar shapes?

    <p>Congruent shapes have the same shape and size, while similar shapes have the same shape but not necessarily the same size</p> 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?

    <p>Not a valid criterion for similarity</p> Signup and view all the answers

    What is the purpose of using congruence criteria in problem-solving?

    <p>To prove the congruence of two shapes</p> Signup and view all the answers

    What is the key step in solving problems involving similar shapes?

    <p>Checking for proportionality of corresponding sides and equality of corresponding angles</p> Signup and view all the answers

    What is the main advantage of using similar shapes in problem-solving?

    <p>They allow for the scaling of shapes up or down</p> Signup and view all the answers

    What is the primary use of congruence criteria in geometry?

    <p>To prove the congruence of two shapes</p> Signup and view all the answers

    What is the primary difference between constructing a 60° angle and a 90° angle?

    <p>One requires the construction of an equilateral triangle and the other requires the construction of a perpendicular bisector.</p> Signup and view all the answers

    What is the key characteristic of a parallelogram that is used to construct its diagonals?

    <p>Opposite sides are equal and parallel.</p> Signup and view all the answers

    What is the result of bisecting an angle using a compass and straightedge?

    <p>Two equal angles and a straight line.</p> Signup and view all the answers

    What is the fundamental property of a triangle that is used to construct its angles?

    <p>The sum of the interior angles is always 180°.</p> Signup and view all the answers

    What is the necessary condition for two triangles to be congruent under the SAS criterion?

    <p>Two sides and the included angle are equal</p> Signup and view all the answers

    What is the technique used to construct a triangle given two sides and the included angle?

    <p>SAS construction.</p> Signup and view all the answers

    What is the primary difference between congruent and similar shapes?

    <p>Congruent shapes have equal corresponding sides and angles, while similar shapes have proportional corresponding sides and equal corresponding angles</p> Signup and view all the answers

    What is the purpose of using the scale factor in solving problems with similar shapes?

    <p>To determine the length of a missing side</p> Signup and view all the answers

    What is the primary difference between constructing a triangle and constructing a quadrilateral?

    <p>One involves the construction of three sides and the other involves the construction of four sides.</p> Signup and view all the answers

    What is the property of a circle that is used to construct a tangent to it?

    <p>The radius is perpendicular to the tangent at the point of tangency.</p> Signup and view all the answers

    What is the necessary condition for two triangles to be similar under the AA criterion?

    <p>Two angles are equal</p> Signup and view all the answers

    What is the primary application of congruent shapes in real-world problems?

    <p>Designing patterns and tiling designs</p> 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?

    <p>ASA.</p> Signup and view all the answers

    What is the necessary condition for two triangles to be congruent under the AAS criterion?

    <p>Two angles and a non-included side are equal</p> Signup and view all the answers

    What is the key concept used to construct a quadrilateral given specific properties?

    <p>Properties of congruent and similar triangles.</p> Signup and view all the answers

    What is the primary difference between the RHS and AAS criteria for congruence?

    <p>RHS is used for right-angled triangles, while AAS is used for all triangles</p> Signup and view all the answers

    What is the fundamental property of a quadrilateral that is used to construct its angles?

    <p>The sum of the interior angles is always 360°.</p> Signup and view all the answers

    What is the primary application of similar shapes in real-world problems?

    <p>Scaling shapes up or down</p> Signup and view all the answers

    What is the necessary condition for two triangles to be similar under the SSS criterion?

    <p>All three sides are proportional</p> Signup and view all the answers

    What is the primary method for proving the congruence of two shapes?

    <p>Constructing logical arguments based on congruence criteria</p> 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?

    <p>The central angle is twice the measure of the intercepted arc.</p> Signup and view all the answers

    What is the sum of the interior angles of a cyclic quadrilateral?

    <p>360°</p> Signup and view all the answers

    What is the purpose of using theorems and properties in geometry?

    <p>To prove geometric statements.</p> Signup and view all the answers

    What is the term for a shape that has line symmetry and rotational symmetry?

    <p>Symmetric shape</p> Signup and view all the answers

    What is the process of using congruence criteria to justify the equality of sides and angles?

    <p>Proof</p> Signup and view all the answers

    What is the term for a shape with at least one line of symmetry?

    <p>Symmetric shape</p> Signup and view all the answers

    What is the purpose of drawing diagrams in problem-solving?

    <p>To visualize the problem</p> Signup and view all the answers

    What is the term for a quadrilateral with all sides equal and opposite angles equal?

    <p>Square</p> 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?

    <p>Congruent shape</p> 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?

    <p>Proportionality</p> Signup and view all the answers

    What is the primary method for classifying a 2D shape?

    <p>Checking for symmetry and sides</p> Signup and view all the answers

    Which type of triangle has two pairs of equal adjacent sides?

    <p>Kite</p> Signup and view all the answers

    What is the term for a shape with all interior angles less than 180 degrees?

    <p>Convex polygon</p> Signup and view all the answers

    Which type of quadrilateral has opposite sides that are equal and parallel?

    <p>Parallelogram</p> Signup and view all the answers

    What is the term for a region bounded by a chord and an arc?

    <p>Segment</p> Signup and view all the answers

    What is the primary method for checking the symmetry of a shape?

    <p>Checking for lines of symmetry</p> Signup and view all the answers

    Which type of polygon has all sides and angles equal?

    <p>Regular polygon</p> Signup and view all the answers

    What is the term for a shape with two pairs of equal opposite sides and equal opposite angles?

    <p>Rhombus</p> 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?

    <p>Scaling</p> Signup and view all the answers

    Which of the following shapes does not have line symmetry?

    <p>Scalene Triangle</p> Signup and view all the answers

    What is the primary method for classifying shapes by their properties?

    <p>All of the above</p> Signup and view all the answers

    What is the term used to describe a shape with at least one line of symmetry?

    <p>Symmetrical</p> Signup and view all the answers

    Which of the following is a characteristic of a concave polygon?

    <p>At least one interior angle is more than 180 degrees</p> Signup and view all the answers

    What is the term used to describe a region bounded by a chord and an arc?

    <p>Segment</p> Signup and view all the answers

    Which of the following shapes is characterized by two pairs of adjacent sides being equal?

    <p>Kite</p> Signup and view all the answers

    What is the term used to describe the process of identifying sides that are parallel or perpendicular?

    <p>Parallelism</p> Signup and view all the answers

    Which of the following techniques is used to construct a triangle given two sides and the included angle?

    <p>SAS</p> 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°?

    <p>Angle Sum Property</p> Signup and view all the answers

    Which of the following shapes has all sides equal and opposite angles equal?

    <p>Rhombus</p> Signup and view all the answers

    What is the name of the technique used to construct a perpendicular line to a given line?

    <p>Perpendicular Bisector</p> Signup and view all the answers

    Which of the following is a property of a rectangle that is not present in a parallelogram?

    <p>All angles are right angles</p> Signup and view all the answers

    What is the name of the technique used to construct a 60° angle?

    <p>Drawing an Equilateral Triangle</p> Signup and view all the answers

    Which of the following is a characteristic of a kite?

    <p>Two pairs of adjacent sides equal</p> Signup and view all the answers

    What is the purpose of using congruence criteria in geometry?

    <p>To justify the equality of sides and angles</p> Signup and view all the answers

    Which of the following shapes has at least one line of symmetry?

    <p>Rhombus</p> Signup and view all the answers

    What is the name of the technique used to construct a tangent to a circle?

    <p>Tangent Line Construction</p> 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?

    <p>SAS</p> 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?

    <p>3</p> 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?

    <p>The central angle is twice the angle subtended at any point on the circumference.</p> Signup and view all the answers

    If two triangles have equal corresponding angles, which similarity criterion can be used to prove they are similar?

    <p>AA</p> Signup and view all the answers

    What is the name of the quadrilateral in which opposite angles sum to 180°?

    <p>Cyclic Quadrilateral</p> Signup and view all the answers

    What is the purpose of using the RHS criterion in congruent triangles?

    <p>To prove congruence in right-angled triangles</p> Signup and view all the answers

    If two shapes are similar, what can be said about their corresponding angles?

    <p>They are equal</p> Signup and view all the answers

    What is the primary focus of problem-solving in geometry?

    <p>All of the above</p> Signup and view all the answers

    What is the term used to describe the process of using properties of congruent shapes to solve problems?

    <p>Applying congruence</p> Signup and view all the answers

    What is the term used to describe the process of determining the scale factor between similar shapes?

    <p>Proportionality</p> Signup and view all the answers

    If two triangles have proportionate sides, which similarity criterion can be used to prove they are similar?

    <p>SSS</p> Signup and view all the answers

    What is the property of a circle that is used to construct a tangent to it?

    <p>Radius</p> Signup and view all the answers

    What is the purpose of using the AAS criterion in congruent triangles?

    <p>To prove congruence when two angles and the included side are equal</p> Signup and view all the answers

    What is the term used to describe two shapes that have the same shape and size?

    <p>Congruent</p> Signup and view all the answers

    If two triangles are similar, what can be said about their corresponding sides?

    <p>They are proportional</p> Signup and view all the answers

    What is the purpose of drawing diagrams in problem-solving?

    <p>All of the above</p> Signup and view all the answers

    What is the term used to describe the process of using properties of similar shapes to solve problems?

    <p>Applying similarity</p> 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°?

    <p>Quadrilateral Angle Sum Theorem</p> Signup and view all the answers

    What is the term used to describe a shape that has at least one line of symmetry?

    <p>Symmetrical</p> Signup and view all the answers

    What is the primary method for classifying shapes?

    <p>By their properties</p> Signup and view all the answers

    Which of the following properties is common to both a square and a kite?

    <p>Two pairs of adjacent sides are equal</p> Signup and view all the answers

    What is the characteristic of a concave polygon?

    <p>At least one interior angle is more than 180 degrees</p> Signup and view all the answers

    What is the term for a line segment that connects two points on a circle?

    <p>Chord</p> Signup and view all the answers

    Which type of triangle has one angle that is 90 degrees?

    <p>Right triangle</p> Signup and view all the answers

    What is the term for a shape that has rotational symmetry?

    <p>Rotational symmetry</p> Signup and view all the answers

    What is the term for the region bounded by a chord and an arc?

    <p>Segment</p> Signup and view all the answers

    Which of the following quadrilaterals has opposite sides that are equal and parallel?

    <p>Parallelogram</p> Signup and view all the answers

    What is the term for the distance from the center to any point on a circle?

    <p>Radius</p> 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?

    <p>They are congruent.</p> Signup and view all the answers

    What is the minimum number of sides required to form a cyclic quadrilateral?

    <p>4</p> Signup and view all the answers

    What is the term for the angle subtended by an arc at the center of a circle?

    <p>Central angle</p> Signup and view all the answers

    If two shapes are congruent, what can be said about their corresponding sides?

    <p>They are equal.</p> Signup and view all the answers

    What is the term for the process of applying theorems to prove properties of geometric figures?

    <p>Theorem-proving</p> Signup and view all the answers

    What is the purpose of drawing diagrams in problem-solving?

    <p>To visualize the problem.</p> Signup and view all the answers

    What is the term for the line segment that connects two points on the circumference of a circle?

    <p>Chord</p> Signup and view all the answers

    What is the term for the quadrilateral that has all its interior angles less than 180°?

    <p>Concave quadrilateral</p> Signup and view all the answers

    What is the term for the process of using geometric tools to construct shapes accurately?

    <p>Construction</p> Signup and view all the answers

    What is the term for the shape that has at least one line of symmetry?

    <p>Symmetric shape</p> Signup and view all the answers

    What is the primary method of constructing a quadrilateral with given specific properties?

    <p>Using a combination of techniques for constructing angles, sides, and parallel lines</p> Signup and view all the answers

    What is the purpose of bisecting an angle in constructions?

    <p>To divide the angle into two equal parts</p> Signup and view all the answers

    What is the characteristic of a rhombus that is not present in a square?

    <p>All angles are equal</p> Signup and view all the answers

    What is the technique used to construct a triangle given two sides and the included angle?

    <p>SAS construction</p> Signup and view all the answers

    What is the property of a parallelogram that is not present in a rectangle?

    <p>All angles are right angles</p> Signup and view all the answers

    What is the name of the technique used to construct a perpendicular line to a given line?

    <p>Perpendicular bisector</p> Signup and view all the answers

    What is the characteristic of a trapezium that is not present in a kite?

    <p>One pair of opposite sides are parallel</p> Signup and view all the answers

    What is the purpose of constructing a circle with a given radius?

    <p>To create a circle with a specific radius</p> Signup and view all the answers

    What is the property of a square that is not present in a rectangle?

    <p>All sides are equal</p> Signup and view all the answers

    What is the technique used to construct a tangent to a circle?

    <p>Radius construction</p> 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?

    <p>SAS</p> 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?

    <p>SAS</p> Signup and view all the answers

    What is the purpose of using congruence criteria in problem-solving?

    <p>To justify the equality of sides and angles</p> 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?

    <p>Proportionality</p> 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?

    <p>RHS</p> 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?

    <p>Congruent</p> Signup and view all the answers

    What is the purpose of using similarity criteria in problem-solving?

    <p>To identify similar shapes</p> 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?

    <p>AA</p> 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?

    <p>Proving congruence</p> 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?

    <p>Identifying similar shapes</p> Signup and view all the answers

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