Identifying Congruent Triangles

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means all corresponding sides and angles are equal.

Front

What does the acronym SSS stand for in triangle congruence?

Back

Side-Side-Side: A postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does the acronym SAS stand for in triangle congruence?

Back

Side-Angle-Side: A postulate 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 the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A postulate 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 the acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A postulate 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

If

Back

The triangles are congruent if the corresponding sides are also equal.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

By measuring all three sides of both triangles and confirming they are equal.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

By measuring two sides and the included angle of one triangle and confirming they are equal to the corresponding parts of the other triangle.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

By measuring two angles and the included side of one triangle and confirming they are equal to the corresponding parts of the other triangle.

Front

How can you determine if two triangles are congruent using the AAS postulate?

Back

By measuring two angles and a non-included side of one triangle and confirming they are equal to the corresponding parts of the other triangle.