Triangle Congruence Theorems

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence 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

Side-Angle-Side; a criterion for triangle congruence 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

Angle-Side-Angle; a criterion for triangle congruence 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

Angle-Angle-Side; a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

How do you name a triangle congruent to triangle XYZ?

Back

You can name it triangle XWZ, triangle ZWX, triangle XZW, etc., as long as the corresponding vertices match.

Front

If two triangles have two pairs of equal angles, what can you conclude?

Back

The triangles are congruent by the AAS criterion.

Front

If two triangles have three pairs of equal sides, what can you conclude?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two sides and the included angle equal, what can you conclude?

Back

The triangles are congruent by the SAS criterion.

Front

What is the importance of the order of vertices when naming triangles?

Back

The order of vertices must correspond to the matching angles and sides to maintain congruence.