3.2 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

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal.

Front

If ∆ABC ≅ ∆DEF, what can be concluded about side AB and side DE?

Back

Side AB is equal in length to side DE.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

How do you complete a congruence statement for triangles?

Back

To complete a congruence statement, match the corresponding vertices of the triangles in the same order.

Front

If ∆XYZ ≅ ∆KLM, what is the relationship between ∠Y and ∠L?

Back

∠Y is congruent to ∠L.

Front

In congruent triangles, if one angle measures 45°, what can be said about the corresponding angle in the other triangle?

Back

The corresponding angle in the other triangle also measures 45°.