Triangle Congruence Theorems

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove that two triangles are congruent if two angles and the included side are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove that two triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What are congruent figures?

Back

Congruent figures 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

How do you name a triangle congruent to triangle ABC?

Back

You can name it triangle FMN if the corresponding vertices are F, M, and N.

Front

What is the purpose of triangle congruence theorems?

Back

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

Front

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

Back

If two triangles have two angles equal, the triangles are congruent by the AAS theorem.

Front

What is the relationship between congruent triangles and rigid motions?

Back

Congruent triangles can be mapped onto one another using rigid motions, which include translations, rotations, and reflections.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and a side must be equal.