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Enlarging & Reducing Similar Shapes

Total questions: 22

Worksheet time: 53mins

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 angles in similar figures are congruent.  
a)
True
b)
False
3.

Are these triangles equal?

a)
Yes
b)
No
4.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
5.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
6.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
7.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
8.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
9.

Find the height of the tree.

a)

h = 0.0625 ft.

b)

h = 12 ft.

c)

h = 16 ft.

d)

h = 20 ft.

10.
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.
11.
Find missing side
a)
5
b)
7
c)
9
d)
11
12.

When you multiply by a scale factor greater than 1, it will result in ...

a)
a reduction.
b)
the same size.
c)
an enlargement.
d)
a different shape.
13.
When you multiply by a scale factor less than 1, it will result in ...
a)
a reduction.
b)
the same size.
c)
an enlargement.
d)
a different shape.
14.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
15.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
16.
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
17.

A rectangular park is 15 meters wide and 24 meters long.

On a blueprint (map), the width is 5 cm. Identify the length on the blueprint. 

a)

10 cm

b)

9 cm

c)

7 cm

d)

8 cm

18.

Scale: 1 cm = 2 m

The actual width of the backyard is 9 m.

How wide is it in the drawing?

a)

4.2 cm

b)

4.5 cm

c)

4.3 cm

d)

4.7 cm

19.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
20.
All angles in similar figures are congruent.  
a)
True
b)
False
21.
a)
ABC and DEF
b)
ABC and GHI
c)
DEF and GHI
d)
None
22.
a)
JKL and MNO
b)
JKL and PQR
c)
MNO and PQR
d)
None