Similar Figures & Proportions

Working with

Similar Figures

by use of proportions

How to set up similar figure proportions

Set up a proportion to help you solve for the missing value:

There are more than one correct proportion that can be used!

Multiple Select

Which two proportions could be used for this problem?

• $$\frac{x}{12}=\ \frac{22}{132}$$

• $$\frac{x}{22}=\frac{12}{132}$$

• $$\frac{x}{12}=\frac{132}{22}$$

• $$\frac{x}{22}=\frac{132}{12}$$  

• $$\frac{22}{12}=\frac{x}{132}$$  

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What is the value of x?

Multiple Choice

Which proportion could NOT be used to solve this problem

• $$\frac{35}{x}=\frac{5}{9}$$

• $$\frac{x}{9}=\frac{35}{5}$$

• $$\frac{x}{5}=\frac{35}{9}$$

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What is the value of x?

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What is the value of x?

NUMBER ONLY

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Find the missing side

(number only)

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Solve for x

(number only)

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What is the value of x?

Choose ANY pair of sides as long as the pair with x is included.

​Shape within a Shape

​"Break apart" the 2 shapes then solve for the missing piece

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Solve for f.

(number only)

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Find y.

(number only)

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Find the height of the tree.

(number only)

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Find x

(number only)

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Solve the equation for x:

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$$ABCD\sim EFGH$$  
Solve for x.

Working with word problems

Draw a quick sketch of the problem
Be sure to label with measurements!

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How long is the shadow of the lawn ornament?

(number only)

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An 18 foot tall flag pole, placed next to a birdbath, cast a 6 ft. shadow. If the bird bath is 3 ft. tall how long is the shadow?(number only)

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A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?

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A scale model of a pool is 8.5 inches long and 6.9 inches wide. If the actual pool is 10 feet wide, how long is the pool? (round to the nearest tenth if needed)

(number only)

.

Multiple Choice

A roll of wire holds 3 meters of wire. About how many inches of wire does the roll hold?

• 76.5 inches

• 91.5 inches

• 10.98 inches

• 118.11 inches