Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence?

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 congruence?

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 congruence?

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 congruence?

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 congruence?

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

How do you name a triangle congruent to triangle XYZ?

Back

You can name it triangle XWZ, where the corresponding vertices match.

Front

How do you name a triangle congruent to triangle ABC?

Back

You can name it triangle FMN, where the corresponding vertices match.

Front

What is the purpose of triangle congruence theorems?

Back

The purpose is to determine if two triangles are congruent, meaning they have the same size and shape.

Front

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

Back

The SSS theorem can be used.

Front

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

Back

The SAS theorem applies.