Congruent and Similar Triangles Review

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and the lengths of corresponding sides are proportional.

Front

State the SSS Congruence Postulate.

Back

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

Front

State the SAS Congruence Postulate.

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 two triangles are congruent.

Front

State the ASA Congruence Postulate.

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 two triangles are congruent.

Front

State the AAS Congruence Theorem.

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 two triangles are congruent.

Front

What are alternate exterior angles?

Back

Angles that lie outside a pair of parallel lines and on opposite sides of a transversal.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 6:9 or 2:3.

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of the lengths of corresponding sides to set up a ratio and solve for the unknown length.