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Similar Triangles

Total questions: 41

Worksheet time: 3hrs 4mins

Name
Class
Date
1.

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

a)
equal
b)
congruent
c)
proportional
d)
none of these
2.

If two figures are similar their corresponding angles are______.

a)
proportional
b)
congruent
c)
supplementary
d)
complementary
3.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

4.

Determine if the two triangles are similar. If so, by what theorem

a)

Similar by SAS

b)

Similar by SSS

c)

Similar by AA

d)

Not similar

5.
Are the triangles similar?
a)
Yes
b)
No
6.
Find missing side
a)
5
b)
7
c)
9
d)
11
7.

Complete the proportion.
ABAM=?AD\frac{AB}{AM}=\frac{?}{AD}

a)
BC
b)
AC
c)
MD
d)
MC
8.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is the length of AB?

a)
10
b)
12
c)
15
d)
18
9.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
10.

Which of the below is the only correct similarity statement for the two triangles?

a)

ΔSKE∼ΔTHC\Delta SKE\sim\Delta THC  

b)

ΔSKE∼ΔTCH\Delta SKE\sim\Delta TCH  

c)

ΔSKE∼ΔCHT\Delta SKE\sim\Delta CHT  

d)

ΔSKE∼ΔHCT\Delta SKE\sim\Delta HCT  

11.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

12.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

13.
a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

14.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
15.
Identify the value for z.
a)
90°
b)
360°
c)
122°
d)
180°
16.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

17.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
18.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
19.

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

a)

30o, 40o, 90o

b)

30o, 40o, 110o

c)

10o, 30o, 140o

d)

40o, 40o, 100o

20.
Solve for x
a)
-17
b)
16
c)
-19
d)
19
21.

A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far will it travel in 12 hours?

a)

504

b)

512

c)

580

d)

640

22.

If 7 sandwich rolls cost $1.68, how much will 29 rolls cost?

a)

$6.96

b)

$7.96

c)

$11.76

d)

$13.76

23.
The measures of the angles in a triangle are in the extended ratio of 4:3:2.  What is the measure of the largest angle?
a)
20 degrees
b)
60 degrees
c)
90 degrees
d)
80 degrees
24.

What is the scale factor that takes L to K?

(Remember to compare corresponding sides)

a)

1/2

b)

2

c)

0.5625

d)

2.25

25.

What is the scale factor that takes C to D?

(Remember to compare corresponding sides)

a)

21

b)

15

c)

1/4

d)

4

26.

Two angles that add to get 180 degrees are called _____________

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
27.

Two angles that add to get 90 degrees are called _____________

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
28.

Determine if the triangles are similar

a)

Similar by SAS

b)

Similar by AA

c)

Not Similar

d)

Similar by SSS

29.

The interior angles of a triangle add up to ______. 

a)
45°
b)
90°
c)
180°
d)
360°
30.

The interior angles of a quadrilateral (4 sided shape) add up to ______. 

a)

540°

b)
90°
c)
180°
d)
360°
31.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

32.

Pentagon JLKMN is similar to pentagon VWXYZ. What is the measurement of angle x?

a)

30o

b)

60o

c)

150o

d)

120o

33.

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

a)
b)
c)
d)
34.

Determine if the triangles are similar. If so, state the similarity postulate or theorem.

a)

AA~

b)

SSS~

c)

SAS~

d)

The triangles are not similar.

35.

Decide whether the triangles are similar. If so, write a similarity statement.

a)

ΔABC ~ ΔFED

b)

ΔABC ~ ΔDEF

c)

ΔABC ~ ΔDFE

d)

The triangles are not similar.

36.

Which method can be used to show that the two triangles at the right are similar?

a)

AA~

b)

SSS~

c)

SAS~

d)

Cannot be shown

37.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

38.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
39.
Are the triangles similar?
a)
Yes
b)
No
40.
Find missing side
a)
5
b)
7
c)
9
d)
11
41.
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.

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