Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating 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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating 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, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

Can two triangles be congruent if they have different side lengths?

Back

No, two triangles cannot be congruent if they have different side lengths.

Front

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

Back

If two triangles are congruent by SSS, all corresponding angles are also equal.

Front

What is the criteria for triangle congruence using SAS?

Back

The criteria for triangle congruence using SAS is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

What is the criteria for triangle congruence using ASA?

Back

The criteria for triangle congruence using ASA is that two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.

Front

What is the criteria for triangle congruence using AAS?

Back

The criteria for triangle congruence using AAS is that two angles and a non-included side of one triangle must be equal to two angles and the corresponding non-included side of another triangle.