Similar Figures and Proportions

The triangles are similar. Use proportions to find the value of x.

• x = 5

• x = 1

• x = 3

• x = 4

The triangles are similar. Use proportions to find the value of x.

• x = 9

• x = 2

• x = 6

• x = 3

The triangles are similar. Use proportions to find the value of x.

• x = 10

• x = 100

• x = 50

• x = 200

• x = 35

• x = 49

• x = 56

• x = 42

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

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

Sides in similar figures must be proportional.  

• True

• False 

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.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in

• 9 in

• 12 in

• 14 in

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft