Similar Figures and Word Problems

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Find missing side

• 5

• 7

• 9

• 11

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

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

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

• x = 12

• x = 3

• x = 40

• x = 4

• F
• G
• H
• J

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

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

• x = 10

• x = 4

• x = 2

• x = 5

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

• x = 20

• x = 12

• x = 5

• x = 4

If the two rectangles are similar, then the length of PQ is…cm

• 10

• 20

• 24

• 28