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Practice 4.1 central and circumscribed angles

Total questions: 15

Worksheet time: 18mins

Name
Class
Date
1.

What is the relationship between Angles B and D in the figure?

a)

B=12D\angle B=\frac{1}{2}\angle D

b)

B=D\angle B=\angle D

c)

B+D=180°\angle B+\angle D=180\degree

d)

B+D=90°\angle B+\angle D=90\degree

2.

A central angle has it's vertex _________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

3.

A circumscribed angle has its vertex ____________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

4.

A central angle is __________ its intercepted arc

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

5.

A circumscribed angle is ________ its intercepted arc.

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

6.

Find the measure of the indicated angle.

a)

65°

b)

130°

c)

50°

d)

90°

7.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
8.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
9.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
10.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
11.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

12.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
13.

Find the requested measure, x in degrees.

(a)  

14.

Given Angle ADC has a measure of 110 degrees, find the measure of Angle ABC.

(a)  

15.

Given Angle ABC has a measure of 50 degrees, find the measure of Arc AC.

(a)