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Intro to Similar Figures

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary 

2.

All corresponding angles in similar figures are congruent.  

a)

True

b)

False

3.

Sides in similar figures must be proportional.  

a)

True

b)

False 

4.

a)

A

b)

B

c)

C

d)

D

5.

Figure ABCDE is similar to figure VWXYZ.

a)

AEXY=CDVZ\frac{AE}{XY}=\frac{CD}{VZ}

b)

ABVW=YZDE\frac{AB}{VW}=\frac{YZ}{DE}

c)

BCXY=DEYZ\frac{BC}{XY}=\frac{DE}{YZ}

d)

ABVW=CDXY\frac{AB}{VW}=\frac{CD}{XY}

6.

Figure JKLM is similar to figure PQRS.

Which proportion must be true for

these figures?

a)
b)
c)
d)
7.

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

a)

b)

c)

d)

8.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

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

9.

Tell whether the two figures are similar. Explain your reasoning.

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

10.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

11.

What side corresponds with DE?

a)

CA

b)

AB

c)

EC

d)

BA

12.

If the two triangles are similar, what is the measurement of x?

a)

3

b)

1.5

c)

8

d)

2/3=0.667

13.

The 2 shapes are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

14.

The 2 shapes are similar. Find x.

a)

2

b)

7

c)

0.5

d)

12

15.

Find the measure of the indicated angle. 

a)

26

b)

36

c)

85

d)

144

16.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

17.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

1/2

d)

1

18.

Click to see image. HINT: Set up a proportion!

a)

A

b)

B

c)

C

d)

D

19.

Review the picture.  Find the missing side measurement in the picture using a proportion.

a)

w = 18 m

b)

w = 6 m

c)

6 m

d)

w = 0.16 m

20.

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

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5