Mid Similar Review

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the relationship between corresponding sides of similar polygons?

Back

In similar polygons, corresponding sides are proportional.

Front

What is the relationship between corresponding angles of similar polygons?

Back

In similar polygons, corresponding angles are congruent.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the scale factor?

Back

The scale factor is 3:2.

Front

If two triangles are similar and one has a side length of 4, and the corresponding side in the other triangle is 6, what is the ratio of their areas?

Back

The ratio of their areas is (4^2):(6^2) = 16:36 = 4:9.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the sides of two similar triangles are in the ratio 2:5, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 2:5.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 10 and side PQ is 15, what is the length of side YZ if side QR is 12?

Back

Side YZ = (10/15) * 12 = 8.