Triangle Congruency Theorems

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a theorem 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 congruency?

Back

SAS stands for Side-Angle-Side, a theorem 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 congruency?

Back

ASA stands for Angle-Side-Angle, a theorem 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 congruency?

Back

AAS stands for Angle-Angle-Side, a theorem 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 HL stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, a theorem 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 SSA condition in triangle congruency?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruency. Two triangles can have two sides and a non-included angle equal but may not be congruent.

Front

If two triangles have three sides equal, what theorem can be used to prove they are congruent?

Back

The SSS (Side-Side-Side) theorem can be used to prove that the triangles are congruent.

Front

If two triangles have two sides and the included angle equal, which theorem applies?

Back

The SAS (Side-Angle-Side) theorem applies to prove the triangles are congruent.

Front

If two triangles have two angles and the included side equal, which theorem applies?

Back

The ASA (Angle-Side-Angle) theorem applies to prove the triangles are congruent.

Front

If two triangles have two angles and a non-included side equal, which theorem applies?

Back

The AAS (Angle-Angle-Side) theorem applies to prove the triangles are congruent.