Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does 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 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 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

What does 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 corresponding included side of another triangle, the triangles are congruent.

Front

If two triangles have two pairs of equal angles, what can be said about the triangles?

Back

They are congruent by the AAS postulate.

Front

What is the relationship between corresponding angles of congruent triangles?

Back

Corresponding angles of congruent triangles are equal.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

Corresponding sides of congruent triangles are equal in length.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

By showing that all three sides of one triangle are equal to all three sides of another triangle.