Congruent Triangle Proofs

Front

What are the three main triangle congruence criteria?

Back

SAS (Side-Angle-Side), SSS (Side-Side-Side), ASA (Angle-Side-Angle)

Front

Which triangle congruence criterion is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid triangle congruence criterion.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

What is the meaning of CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, what can be concluded?

Back

The two triangles are congruent by the ASA criterion.

Front

What is the significance of angle bisectors in triangle congruence?

Back

Angle bisectors can help establish congruence by creating equal angles, which can be used in conjunction with other criteria.

Front

What is the SSS criterion for triangle congruence?

Back

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

Front

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

Back

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 is the relationship between corresponding angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal and corresponding sides are equal.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.