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Worksheets

Similar Figures

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

When are two geometric shapes considered similar? Choose the best answer.

a)

When their sides have the same length

b)

When their interior angles are the same and their sides are in proportion

c)

When they are extremely close in both shape and size

d)

When they have the same number of sides and angles

2.

All ________________ triangles are similar.

a)

Equilateral

b)

Scalene

c)

Right

d)

Isosceles

3.

A triangle has sides of 3 cm, 6 cm, and 8 cm. Which triangle has sides that are in the same proportion?

a)
b)
c)
d)
4.

A triangle has sides of 4, 10, and 12cm. This ratio can be simplified to:

a)

1 : 2 : 3

b)

1 : 7 : 9

c)

2 : 8 : 10

d)

2 : 5 : 6

5.

You have two similar equilateral triangles. One has sides that measure 8 meters each; the other has sides of 40 cm each. What is the scale factor?

a)

2 : 1

b)

80 : 2

c)

20 : 1

d)

8 : 2

6.

A square has sides of 5 cm each. Which square is similar?

a)

A square with sides of 4 cm each

b)

A square with sides of 10 cm each

c)

A square with sides of 5 meters each

d)

All of the above

7.

What must you do in order to determine whether two rectangles are similar?

a)

Measure the interior angles of each rectangle

b)

Measure the sides of each rectangle to see if they're proportional

c)

Determine the scale ratio between the rectangles

d)

Divide the length of each side of the smaller rectangle by the length of each side of the larger rectangle

8.

A tree casts a shadow of 3 meters, while a meter stick casts a shadow of 0.75 meters. How tall is the tree?

a)

6 meters

b)

5 meters

c)

4 meters

d)

3 meters

9.

The short side of a rectangle is 6 cm, and the long side is 21 cm. Which of the following rectangles is similar?

a)
b)
c)
d)
10.

A rectangle has sides of 72 cm and 36 cm. Another rectangle has sides of 4 cm and 8 cm. What is the scale ratio?

a)

9 : 1

b)

8 : 1

c)

7 : 2

d)

5 : 3