Podcast
Questions and Answers
What type of angle measures exactly 90 degrees?
What type of angle measures exactly 90 degrees?
What type of angles have a sum of 180 degrees?
What type of angles have a sum of 180 degrees?
What type of triangle has 3 congruent sides and 3 congruent angles?
What type of triangle has 3 congruent sides and 3 congruent angles?
What type of lines never intersect?
What type of lines never intersect?
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What type of angles are inside the parallel lines and on opposite sides of the transversal?
What type of angles are inside the parallel lines and on opposite sides of the transversal?
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What type of angle is less than 90 degrees but more than 0 degrees?
What type of angle is less than 90 degrees but more than 0 degrees?
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What type of angles are outside the parallel lines and on opposite sides of the transversal?
What type of angles are outside the parallel lines and on opposite sides of the transversal?
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What type of angles have a common ray and vertex, and are next to each other?
What type of angles have a common ray and vertex, and are next to each other?
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What is the name of a triangle that contains a 90 degree angle?
What is the name of a triangle that contains a 90 degree angle?
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What is the sum of the interior angles of a quadrilateral?
What is the sum of the interior angles of a quadrilateral?
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What is the name of a quadrilateral with exactly one pair of parallel sides?
What is the name of a quadrilateral with exactly one pair of parallel sides?
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What is the name of a polygon with four congruent sides and four right angles?
What is the name of a polygon with four congruent sides and four right angles?
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What is the name of a triangle with 2 congruent sides and 2 congruent angles?
What is the name of a triangle with 2 congruent sides and 2 congruent angles?
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What is the name of the side opposite the right angle in a right triangle?
What is the name of the side opposite the right angle in a right triangle?
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What is a formula used to find sides of a right triangle?
What is a formula used to find sides of a right triangle?
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What is the name of a quadrilateral in which opposite sides are parallel and congruent?
What is the name of a quadrilateral in which opposite sides are parallel and congruent?
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Study Notes
Angles
- An acute angle is less than 90 degrees but more than 0 degrees
- A right angle measures exactly 90 degrees
- An obtuse angle is more than 90 degrees but less than 180 degrees
- A straight angle measures exactly 180 degrees
- Vertical angles are congruent and across from each other when two lines intersect
- Adjacent angles share a common ray and vertex, and are next to each other
- Complementary angles have a sum of 90 degrees
- Supplementary angles have a sum of 180 degrees
Lines and Transversals
- Parallel lines never intersect
- A transversal is a line that intersects two or more lines
- Corresponding angles are in the same position on two parallel lines in relation to a transversal
- Alternate interior angles are inside the parallel lines and on opposite sides of the transversal
- Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal
- Consecutive interior angles are inside the parallel lines and on the same side of the transversal, and their sum is 180 degrees
Triangles
- A triangle is a three-sided figure with a sum of three angles equal to 180 degrees
- An equilateral triangle has three congruent sides and three congruent angles
- An isosceles triangle has two congruent sides and two congruent angles
- A scalene triangle has no congruent sides or angles
- A right triangle contains a 90-degree angle
- The legs of a right triangle are the two sides that form the 90-degree angle
- The hypotenuse of a right triangle is the side opposite the right angle
- The Pythagorean theorem is a formula used to find sides of a right triangle
Quadrilaterals
- A quadrilateral is a four-sided figure with angles that sum to 360 degrees
- A parallelogram is a quadrilateral with opposite sides that are parallel and congruent
- A rhombus is a parallelogram with all four sides congruent
- A rectangle is a parallelogram with four right angles
- A square is a parallelogram with four congruent sides and four right angles
- A trapezoid is a quadrilateral with exactly one pair of parallel sides
- An isosceles trapezoid is a trapezoid with one pair of congruent sides
Polygons
- A polygon is a closed figure formed by three or more line segments called sides
- The sum of interior angles of a polygon can be determined by the number of triangles that can be drawn within the polygon
- Congruent polygons have the same size and shape
- A congruency statement must match all corresponding angles and sides
Transformations
- A transformation is an operation that maps an original figure (pre-image) onto a new figure (image)
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Description
Learn about different types of angles in geometry, including acute, right, obtuse, and straight angles, as well as vertical angles.
