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similar triangle

Total questions: 36

Worksheet time: 58mins

Name
Class
Date
1.

Find the value of x.

a)

72

b)

18

c)

60

d)

7.5

2.

Figure A is reduced to Figure B. Find the scale factor.

a)

4

b)

1/4

c)

3

d)

1/3

3.

If the given triangle is similar then, Find the value of y-x.

a)

24

b)

16

c)

6

d)

18

4.

Figure A is enlarged to figure B. Find the scale factor.

a)

2.5

b)

3

c)

0.4

d)

6

5.

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

a)

x = 19.5cm

b)

x = 24.5 cm

c)

x = 3.5 cm

d)

x = 16.5 cm

6.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
7.

The figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller triangle?

a)

23.8 mm

b)

10.2 mm

c)

6.67 mm

d)

4.3 mm

8.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
9.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
10.
Are the triangles similar?
a)
Yes
b)
No
11.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
12.
Solve for f.
a)
6
b)
4
c)
3
d)
8
13.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
14.

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

a)

4 : 5

b)

16 : 25

c)

64 : 125

d)

8 : 10

15.
The area of triangle A is 54 and triangle B is 150. What is the scale factor of A to B? 
a)
9:25
b)
27:75
c)
3:5
d)
25:9
16.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
17.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

18.

The figures shown are similar. The areas of each figure is given.

What is the ratio of the side length of the smaller triangle to the larger triangle?

a)

4:49

b)

2:7

c)

1:7

d)

1:25

19.
A map has a scale of 3 cm:18km.  If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?
a)
15 cm
b)
8.7 cm
c)
9 cm
d)
6 cm
20.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

21.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
22.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

23.
Determine whether the triangles are similar.
a)
SSS~
b)
AA~
c)
SAS~
d)
not similar
24.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
25.

Symbol for similarity is

a)

\sim

b)

\approx

c)

\cong

d)

\equiv

26.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
27.

Scale is 1in = 8mi. Hatboro and Smithville are 24 miles apart on the map, how far apart are they?

a)

87 mi

b)

30 in

c)

6 in

d)

3 in

28.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
29.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
30.

The scale of a street map is 1 : 5000.

Find the actual distance, in metres,

for 4 cm on the map.

a)

0.2

b)

2

c)

20

d)

200

31.

A map has a scale of 1: 500 000.

If the distance from A to B on the map is 7 cm, what is the actual distance be on the ground, in kilometers?

(a)  

32.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
33.
The scale for a flagpole is 1 in.= 4 ft. If the pole measures 12 inches on paper, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
34.
How many miles would 9 inches be on this map?
a)
10
b)
20
c)
30 
d)
90
35.
From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
36.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in