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Worksheets

Similar Figures Overlapping Shapes

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

a)

3.75

b)

9.75

c)

10

d)

12

2.

Find the missing perimeter.

a)

15

b)

20

c)

25

d)

30

3.

Find the missing area. 

a)

0

b)

12

c)

24

d)

30

4.

Find the missing area.

a)

15

b)

20

c)

25

d)

30

5.

What is true about the shape and size of similar figures?

a)

Same shape and same size

b)

Same shape and not the same size

c)

Different shape and same size

d)

Different shape and not the same size

6.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

7.

What is true about the angles of similar figures?

a)

Corresponding angles are proportional.

b)

Complementary angles are proportional.

c)

Corresponding angles are congruent.

d)

Complementary angles are congruent.

8.

This symbol stands for ...

a)

is corresponding to

b)

is proportional to

c)

is congruent to

d)

is similar to

9.

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

a)

22.5 cm

b)

8 cm

c)

10.8 cm

d)

30 cm

10.

What is the length in inches of line segment PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

11.

The two triangular prisms shown above are similar.
What is the value of x, the height of the larger prism?

a)

6.8 cm

b)

4 cm

c)

6 cm

d)

7.2 cm

12.

Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?

a)

3 units

b)

11.6 units

c)

5 units

d)

4.5 units

13.

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

14.

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

a)

4

b)

5

c)

6

d)

8

15.

Triangle HIJ is similar to triangle STR.  What is the perimeter of triangle STR?

a)

32

b)

37

c)

40

d)

42