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Finding Missing Side Similar Figures

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

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

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

2.

Are these triangles similar?

a)

Yes

b)

No

3.

Find the missing perimeter.

a)

15

b)

20

c)

25

d)

30

4.

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

5.

Match the following similar figures to the correct missing side lengths.

(hint: use proportions to find the value of each variable)

a)
1.

x=8

b)
2.

x=4

c)
3.

y=20

d)
4.

x=25

e)
5.

x=0.66666

6.

The following figures are similar. Use proportions to find the value of x.

ONLY FIND x!!

7.

The following figures are similar. Use proportions to find the value of y.

ONLY FIND y!!

8.

Determine the scale factor of the similar figures:

​ (a)  

Choose from the below words

2:5

6:15

10:25

8:20

5:2

15:6

25:10

20:8

9.

Determine the scale factor of the similar figures:

​ (a)  

Choose from the below words

1:2

2:4

3:6

2:1

4:2

6:3

2:3

4:6

10.

Determine the scale factor of the similar figures:

​ (a)  

Choose from the below words

4:3

3:4

20:15

15:20

11.

Side TA and side​ ​ (a)   are corresponding (matching).

Choose from the below words

MO

AR

TR

OP

MP

TA

12.

Use a proportion to find the value of the variable.

m=___

13.

Chantel wanted to know the height of the ferris wheel at the fair. She measured the shadow of the ferris wheel to be 48 feet. Chantel is 5 feet tall. She measured her shadow to be 8 feet.

Find the height (x) of the ferris wheel (hint: use a proportion).

14.

Draw a diagram of the following situation:

Leon wanted to know the height of his school building. Leon is 6 feet tall. His shadow is 8 feet long. The shadow of the building is 80 feet long.