wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 4 Test

Total questions: 28

Worksheet time: 53mins

Name
Class
Date
1.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

2.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

3.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

4.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

5.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

6.
Find the missing length indicated. 
a)
16
b)
8
c)
10
d)
14
7.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
8.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
9.

Tell whether the triangles are similar or not.

a)

a

b)

b

10.

Tell whether the triangles are similar or not.

a)

a

b)

b

11.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

12.
Solve for k
a)
7/12
b)
12/7
c)
7
d)
2
13.
Solve for p
a)
46
b)
49
c)
1/49
d)
4
14.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

15.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
16.

In two similar rectangles, the ratio of the lengths is 3:5. If the perimeter of the first rectangle is 18 centimeters, find the perimeter of the second rectangle.

a)

10.8

b)

1.125

c)

16

d)

30

17.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
18.

The figures are similar. Solve for ?.

a)

5

b)

7

c)

9

d)

11

19.

The figures are similar. Solve for x. 

a)

21

b)

14

c)

12

d)

18

20.

Find the value of x. Give the numerical value only!!

(a)  

21.

Solve the proportion. Remember to give me the NUMERICAL value only!!

(a)  

22.

QR is a midsegment of triangle BCD. Solve for the value of x. Give the numerical value only!!

(a)  

23.

If ΔABCΔDEF\Delta ABC\sim\Delta DEF  , find  mC .m\angle C\ .  

a)

54

b)

59

c)

67

d)

69

24.

Quadrilateral JKLM  \sim  Quadrilateral WXYZ, JK = 15, LM = 10, XY = 6, and WX = 9. Find KL

a)

8

b)

10

c)

11

d)

12

25.

A 6-foot-tall fence post cast a 2 12\frac{1}{2}  -foot shadow. At the same time, a nearby clock tower cast a 35-foot shadow. What is the height of the tower?

a)

37  12\frac{1}{2}  ft

b)

71 ft

c)

78 ft

d)

84 ft

26.

Find the geometric mean of 4 and 36:

a)

142\sqrt[]{142}

b)

12

c)

13

d)

10

27.

QT = 5 and TS - 2.2, Find RT:

a)

3.32

b)

4.3

c)

3.11

d)

Who knows

28.

Find the coordinate that divides the directed line segment from A(−6, 3) to B(8, 10) in the ratio of 3 to 4.

a)

(-12, 2)

b)

(0, 6)

c)

(2, 9)

d)

(14, 13)