SSS and SAS Congruence Theorems Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence stating that 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.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then 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 their corresponding sides and angles are equal.

Front

If two triangles are not congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are not congruent, their corresponding sides and angles are not equal.

Front

What additional information is needed to prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, you need to know the lengths of all three sides of both triangles.

Front

What additional information is needed to prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, you need to know the lengths of two sides and the measure of the included angle of both triangles.

Front

What additional information is needed to prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, you need to know the measures of two angles and the length of the included side of both triangles.

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side is not sufficient to determine if two triangles are congruent; additional information about other sides or angles is needed.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.