Ratio and Proportion Similar

Joel builds a large corkboard for his room that is 45 inches tall and 63 inches wide. He wants to build a smaller corkboard with a similar shape for the kitchen. Which of the following could be the dimensions of that corkboard?

• 4 in. by 3 in.

• 7 in. by 5 in.

• 12 in. by 5 in.

• 21 in. by 14 in.

• Yes

• There is not enough information to decide.

• No

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

• x = 7.2 cm; y = 13.4 cm

• x = 12cm; y = 15 cm

• x = 12.5 cm; y = 9.6 cm

• x = 15 cm; y = 12 cm

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

Q1. How many days are there in a week?

• A) 14

• B) 7

• C) 2

• D) 112

• 1
• 25
• 4
• 100

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

• 13.3 m

• 15.5 m

• 9.6 m

• 17.1 m

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

• 13.4 cm

• 15 cm

• 12.5 cm

• 7.2 m