Matching Proportions to Similar Figures

Solve the proportion:

• c = 4

• c = 8

• c = 14

• c = 10

What is true about the sides of similar figures?

• Corresponding sides are proportional.

• Corresponding sides are congruent.

• Opposite sides are proportional.

• Opposite sides are congruent.

Which proportion would allow you to solve for the missing side, x?

• A

• B

• C

• D

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

• x = 9

• x = 28

• x = 7

• x = 63

Solve for x 

• x = 16

• x = 28

• x = 1/26

• x = 26

What is true about the shape and size of similar figures?

• Same shape and same size

• Same shape and not the same size

• Different shape and same size

• Different shape and not the same size

The _________tells us how many times larger or smaller a figure is from the original.

• Scale factor

• Angle

• Side lengths

• Units

For the pair of similar figures, find the length of each side marked with a variable.

• 8 in

• 1 in

• 9.8 in

• 9.3 in

CHALLENGE! Solve for x. (You will need to set up the proportion, and solve using the distributive property).

• x = 4

• x = 135

• x = 1/4

• x = 2

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft