5.5 Proving Triangles Congruent

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 equal to two angles and the 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 equal to the three sides of another triangle.

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 equal 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 equal to two angles and the corresponding non-included side of another triangle.

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

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

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

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

Back

To prove triangles are congruent using ASA, show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the missing information needed to prove triangles congruent using SAS?

Back

You need to know the measure of the included angle between the two sides.

Front

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

Back

No, at least two sides and the included angle or two angles and a side must be known to prove congruence.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

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