Triangle Congruence Review

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used after proving two triangles are congruent to state that their corresponding parts are also congruent.

Front

When can you use CPCTC?

Back

You can use CPCTC after triangles have been proven congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases.

Front

If two triangles are congruent, what can we say about their corresponding sides?

Back

If two triangles are congruent, their corresponding sides are also congruent.

Front

If triangle ABC is congruent to triangle DEF, what can we conclude about angle A and angle D?

Back

If triangle ABC is congruent to triangle DEF, then angle A is congruent to angle D (∠A ≅ ∠D).

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles have the same size and shape (all corresponding sides and angles are equal), while similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and corresponding sides are in proportion).

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.