Proportions and Similarity Review

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Choose the similarity statement for the triangles: ΔMNL, ΔOPQ, ΔNOM, ΔPQL, ΔLMN, ΔPQO, ΔMLN, ΔPQO.

Back

ΔLMN ∼ ΔPQO

Front

True or False: Corresponding sides in similar figures are proportional.

Back

True

Front

Find the missing length. The triangles are similar: 11, 4, 7, 10.

Back

7

Front

Solve for x. The polygons are similar: 9, 12, 6, 10.

Back

12

Front

Definition: Similar Polygons

Back

Polygons that have the same shape but not necessarily the same size; corresponding angles are equal and corresponding sides are proportional.

Front

Definition: Proportional Sides

Back

Sides of similar figures that maintain a constant ratio to each other.

Front

Definition: Corresponding Angles

Back

Angles in two or more polygons that occupy the same relative position.

Front

Example: If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their sides?

Back

1:2

Front

Example: If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, because they have the same angle measures.