4.3 Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem 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

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a valid triangle congruence theorem because it does not guarantee that the triangles are congruent in size.

Front

What are congruent figures?

Back

Congruent figures are figures that have the same dimensions (side lengths and angle measures), are the same shape and size, and can be mapped onto one another using rigid motions.

Front

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

Back

AAS (Angle-Angle-Side) applies.

Front

If two triangles have all three sides equal, which theorem applies?

Back

SSS (Side-Side-Side) applies.

Front

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

Back

SAS (Side-Angle-Side) applies.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides are proportional, but the triangles are not necessarily congruent.