Free Printable Similar Polygons

Worksheets

Similar Polygons

Total questions: 22

Worksheet time: 4hrs 40mins

Name

Class

Date

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

The rectangles are similar.

Solve for x.

In similar Polygons, corresponding sides are (a) and corresponding angles are (b) .

Choose from the below words

proportional

congruent

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

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?

The triangles given are similar.

Solve for x.

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

Are these triangles similar?

Yes

Are the following similar? Why or why not?

Yes

No, the corresponding angles are not equal.

No, the ratios of the corresponding sides are not equal.

10.

Using a proportion, find the height of the tree.

11.

Solve for x.

12.

Find the perimeter of the large triangle.

13.

Find y.

14.

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

72 in

60 in

62 in

80 in

15.

Are these figures similar?

yes

16.

Two similar right triangles were created. One triangles gives measurements of the light post and the other one gives measurements of a building. Find the height of the building.

100

104

108

17.

Read the problem and find the missing measurement. Use labels or pictures to help set up the problem.
A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?

x = 3 ft.

x = 12 ft.

x = 120 ft.

none of the above

18.

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

12 feet

16 feet

10 feet

4 feet

19.

Which proportion could be used to find side 'x'?

20.

Which proportion can be used to find 'x'?

21.

What is the scale factor that takes L to K?

(Remember to compare corresponding sides)

$\frac{1}{2}$

$\frac{3}{8}$

$\frac{9}{3}$

22.

What is the scale factor that takes Q to P?

(Remember to compare corresponding sides)

$\frac{1}{3}$

$\frac{11}{24}$

100 %

Similar Polygons

Total questions: 22

Worksheet time: 4hrs 40mins

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