Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies 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, then the triangles are congruent.

Front

If two triangles have two angles equal, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have three sides equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two sides and the included angle equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

If two triangles have two angles and a non-included side equal, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.