Congruent Triangle Proofs Review

Front

What is a congruent triangle?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 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, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, 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, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

If triangle ABC is congruent to triangle DEC, what can be said about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal, so angle A will equal angle D, angle B will equal angle E, and angle C will equal angle F.

Front

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

Back

To prove triangles are congruent using SSS, show that all three pairs of corresponding sides are equal in length.

Front

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

Back

To prove triangles are congruent using SAS, show that two pairs of corresponding sides are equal and the angle between those sides is also equal.

Front

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

Back

To prove triangles are congruent using ASA, show that two pairs of corresponding angles are equal and the side between those angles is also equal.

Front

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

Back

To prove triangles are congruent using AAS, show that two pairs of corresponding angles are equal and one pair of corresponding non-included sides is equal.