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 a non-included side of another triangle, the triangles are congruent.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

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

Back

If two triangles are congruent, their corresponding sides and angles are equal.

Front

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices is important because it indicates which angles and sides correspond to each other in congruent triangles.

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

What is the criteria for triangle congruence using SSS?

Back

For SSS, if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the criteria for triangle congruence using SAS?

Back

For SAS, 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.