Triangle Congruence Criteria Test 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 is the ASA triangle congruence criterion?

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 included side of another triangle.

Front

What is the AAS triangle congruence criterion?

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 SSS stand for in 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.

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 as it can lead to ambiguous cases.

Front

If ∆ABC≅∆XYZ, what can be concluded about the sides AB and XY?

Back

AB≅XY, meaning side AB of triangle ABC is congruent to side XY of triangle XYZ.

Front

What additional information is needed for congruence by ASA?

Back

You need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

How can you prove triangles are congruent using the SAS criterion?

Back

By showing that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.