Congruent Triangles Review

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 the SSS postulate state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS postulate state?

Back

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 ASA postulate state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the AAS postulate state?

Back

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

If ∆ABC≅∆XYZ, what can we conclude about the sides AB and XY?

Back

AB≅XY.

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If two triangles have two pairs of equal angles, what can we conclude about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

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

Back

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