Ch5 FLASHCARD: Congruent Triangles

Front

What does the HL theorem state?

Back

The Hypotenuse-Leg (HL) 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 two triangles are congruent.

Front

What is the AAS theorem?

Back

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

Front

What does the ASA theorem state?

Back

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

Front

What is the SSS theorem?

Back

The Side-Side-Side (SSS) 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 is the SAS theorem?

Back

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

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the definition of a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

If two triangles have two angles equal, the sides opposite those angles are also equal (Angle-Angle-Side theorem).