Congruent Triangles

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

List the four main tests for triangle congruence.

Back

The four main tests for triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Front

Which test is NOT a valid method for proving triangle congruence?

Back

SSA (Side-Side-Angle) is NOT a valid test for proving triangle congruence.

Front

What does the SSS postulate state?

Back

The SSS postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS postulate state?

Back

The SAS postulate 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 ASA postulate state?

Back

The ASA postulate 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 is the AAS postulate?

Back

The AAS postulate states that if two angles and a 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 is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is a congruence statement?

Back

A congruence statement is a way to express that two geometric figures are congruent, typically written in the form of triangle names, such as triangle ABC ≅ triangle DEF.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding angles and sides?

Back

If triangle ABC is congruent to triangle DEF, then their corresponding angles and sides are equal.