IXL | Side lengths and angle measures of similar figures

If these two shapes are similar, what is the measure of the missing length p?

4 mi

1 mi

12 mi

p = miles

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Learn with an example

If these two shapes are similar, what is the measure of the missing length s?

2 m

12 m

6 m

s = meters

The corresponding sides of similar shapes are proportional.

Rotate the trapezoids to match up the corresponding parts.

2 m

12 m

6 m

The trapezoids' longer sides have a ratio of

, which is

.

The trapezoids' shorter sides have a ratio of

.

Write a proportion:

Multiply both sides by 6 · 6 and solve:

The missing length is 1 meter.

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