Geometry A Unit 3

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the ASA congruence theorem state?

Back

The ASA (Angle-Side-Angle) congruence theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the SSS congruence theorem state?

Back

The SSS (Side-Side-Side) congruence theorem states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does the SAS congruence theorem state?

Back

The SAS (Side-Angle-Side) congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the HL congruence theorem state?

Back

The HL (Hypotenuse-Leg) congruence theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you find the coordinates of a point after a 90-degree clockwise rotation?

Back

To find the new coordinates (x', y') after a 90-degree clockwise rotation of a point (x, y), use the formula: (x', y') = (y, -x).

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on side lengths?

Back

The types of triangles based on side lengths are: Equilateral (all sides equal), Isosceles (two sides equal), and Scalene (no sides equal).

Front

What are the types of triangles based on angles?

Back

The types of triangles based on angles are: Acute (all angles less than 90°), Right (one angle equal to 90°), and Obtuse (one angle greater than 90°).