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Worksheets

Ratios Triangles Sides

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

2.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

3.

Are the triangles similar?

a)

Yes

b)

No

4.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

5.

Are the following similar? Why or why not?

a)

Yes. All pairs of corresponding angles are congruent.

b)

No, the corresponding angles are not equal.

c)

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

6.

Given that Triangle BAC is similar to Triangle EDF. Find the angle EFD.

a)

45

b)

22

c)

113

d)

18

7.

Sides in similar figures must be proportional.  

a)

True

b)

False 

8.

Find the value of y.

a)

24

b)

16

c)

6

d)

54

9.

Pick the correct Similarity Statement for the Triangles Shown.

a)

ΔABC ~ ΔXYZ

b)

ΔACB ~ ΔYZX

c)

ΔCAB ~ ΔZXY

d)

ΔABC ~ ΔZXY

10.

Find the scale factor (common ratio) between the two triangles.

a)

3/2

b)

1

c)

9/4

d)

4/9

11.

Which side is corresponding to 7?

a)

15

b)

18

c)

21

d)

5

12.

Determine if the two figures are similar or not using common ratios.

a)

No, the ratios between corresponding sides are different.

b)

No, because the sides aren't equal.

c)

Yes, because all the ratios are 4 to 1

d)

Yes, because all the ratios are 8 to 1

13.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔABC ~ ΔPRQ

b)

ΔABC ~ ΔPQR

c)

ΔCBA ~ ΔPRQ

d)

ΔACB ~ ΔQRP

14.

Given that the two triangles are similar, which side is corresponding to PQ?

a)

EF

b)

DE

c)

DF

d)

FE

15.

Given the two triangles are similar, which side is corresponding to PR?

a)

DE

b)

EF

c)

DF

d)

FD

16.

Which side is corresponding to 18?

a)

5

b)

6

c)

7

d)

15

17.

What ratio would I use for the side 5 and its corresponding side?

a)

15/5 = 3

b)

21/5

c)

18/5

d)

7/5

18.

Find the scale factor of the following triangles. (make sure to simplify)

a)

18 to 5

b)

15 to 6

c)

5 to 7

d)

3 to 1

19.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔCAB ~ ΔDEF

b)

ΔABC ~ ΔDFE

c)

ΔABC ~ ΔDEF

d)

ΔBCA ~ ΔDEF