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G9 U5 Geometry, congruence and similarity

Total questions: 15

Worksheet time: 12mins

Name
Class
Date
1.

Find the missing angle.

a)

39

b)

51

c)

129

d)

139

2.

Angles 4 and 8 are...

a)

Corresponding and supplementary

b)

Same side interior and supplementary

c)

Corresponding and congruent

d)

Same side exterior and congruent

3.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

4.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
5.
Solve for x
a)
45
b)
12
c)
90
d)
2
6.

A cube has a surface area of 54 in2. Find the volume.

a)

9 inches3

b)

12 inches3

c)

27 inches3

d)

18 inches3

7.
Calculate the composite surface area of the figure.
a)
16579.07 ft2
b)
7022.35 ft2
c)
490.09 ft2
d)
8002.52 ft2
8.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
9.

ΔABO is similar to ΔDCO\Delta ABO\ is\ similar\ to\ \Delta DCO . Find the value of x and y.

a)

x=30°x=30\degree   and y = 3 cm

b)

y = 9 cm and x=30°x=30\degree  

c)

y=30°y=30\degree   and x = 6 cm

10.

How do we know that these triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

AAA

11.

How do we know that these triangles are congruent?

a)

SAS

b)

SSS

c)

AAA

d)

ASA

12.

What is the value of m?

a)

18

b)

20

c)

17

d)

15

13.

What is the volume of the smaller triangular prism?

a)

18 cm3

b)

12 cm3

c)

8 cm3

d)

6 cm3

14.

What is the ratio of the diameter of the larger circle to the diameter of the smaller circle?

a)

2:1

b)

4:1

c)

11:1

d)

11:4

15.

The volume of one sphere is 4 times that of another sphere. Given that the radius of the smaller sphere is 3cm, find the radius of the larger sphere.

a)

4.76cm

b)

16.21cm

c)

5.32cm

d)

5.35cm