Similar Figures and Proportions

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

• x = 8 inches

• x = 13 inches

• x = 10 inches

• x = 12 inches

The shapes are similar. Use proportions to solve for y.

• y = 11 ft

• y = 4.5 ft

• y = 5 ft

• y = 6.5 ft

The shapes are similar. Use proportions to find the value of y.

• y = 30 m

• y = 25 m

• y = 10 m

• y = 32 m

The shapes are similar. What is the scale factor? Simplify your answer.

• 4:1

• 1:5

• 5:1

• 5:4

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

Solve the proportion. \frac{7}{9}=\frac{x}{63}

• 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