Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does the AAS postulate stand for?

Back

Angle-Angle-Side postulate, which states 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, then the triangles are congruent.

Front

What does the SAS postulate stand for?

Back

Side-Angle-Side postulate, which states that 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

What does the SSS postulate stand for?

Back

Side-Side-Side postulate, which states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does the ASA postulate stand for?

Back

Angle-Side-Angle postulate, which states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Front

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

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

If two triangles have all three pairs of equal sides, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two pairs of equal angles and one pair of equal non-included sides, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal.