Proportions of Similar Figures

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree? Hint: the figures are similar triangles.

• 8 feet

• 72 feet

• 36 feet

• 144 feet

Find missing side

• 5

• 7

• 9

• 11

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

Review the picture. Find the missing side measurement in the picture using a proportion.

• x = 900 m

• x = 52 m

• x = 25 m

• x = 0.04 m

Find y.

• 144

• 18

• 72

• 12

Which proportion can be used to solve for n?

A parking meter that is 1.6m tall casts a shadow of 3.6m long. At the same time, a tree casts a shadow 9m long. Which proportion could be used to find the height of the tree?