Triangles: Congruence and Corresponding Parts

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, 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 have two angles equal, what can be said about the triangles?

Back

If two triangles have two angles equal, they are congruent by the AAS criterion.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

If triangle ABC is congruent to triangle DEF, then their corresponding sides and angles are equal: AB = DE, BC = EF, AC = DF, and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

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

Back

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

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 in length.