Triangle Congruency Theorems

Front

What does AAS stand for in triangle congruency?

Back

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

Front

What does SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruency?

Back

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

Front

What does ASA stand for in triangle congruency?

Back

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

Front

What does HL stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have three pairs of congruent sides, 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 congruent, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

If two right triangles have congruent hypotenuses and one pair of congruent legs, what can be concluded about the triangles?

Back

The triangles are congruent by the HL theorem.

Front

What is the difference between AAS and ASA?

Back

AAS requires two angles and a non-included side, while ASA requires two angles and the included side.