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Finding Proportions Polygons

Total questions: 28

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

2.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

3.

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

a)

3 in

b)

2 in.

c)

4 in

d)

1 in

4.

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

5.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

6.

If ABCDE ∼ GHJDF, then∠B is congruent to _______

a)

∠H

b)

∠D

c)

∠F

d)

∠J

7.

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?

a)

84 in

b)

71 in

c)

47.25 in

d)

80

8.
The pair of figures are similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
9.

Are the two figures similar?

a)

yes

b)

no

10.

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

a)

2:5

b)

5:3

c)

3:5

d)

2:3

11.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

12.

Solve for x. The two figures are similar.

a)

x = 8

b)

x = 2

c)

x = 4

d)

x = 6

13.

Find the perimeter of PQRS.

a)

164

b)

36

c)

82

d)

72

14.

Identify the value for z.

a)

90°

b)

360°

c)

122°

d)

180°

15.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
16.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
17.
A dilation is which of the following: 
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
18.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
19.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
20.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
21.

Which side length corresponds with EF?

a)

MN

b)

LM

c)

OL

d)

EH

22.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
23.
Two shapes that are similar are also congruent
a)
always
b)
sometimes
c)
never
24.
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.
25.
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.
26.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
27.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
28.
What is the scale factor (similarity ratio) from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3