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Circle Properties Quiz

Total questions: 24

Worksheet time: 33mins

Name
Class
Date
1.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

(a)  

2.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
e)

parallel

3.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

(a)  

4.

Solve for x. 

(a)  

5.

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are chords of the circle.

a)

right angle

b)

acute angle

c)

inscribed angle

d)

intercepted angle

e)

central angle

6.

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

a)

70

b)

110

c)

140

d)

90

e)

35

7.

Find the length of Chord UW

(a)  

8.

Find the measure of ∠ABE.

(a)  

9.
Given the following inscribed quadrilateral, what is the value of y?
a)
10
b)
20
c)
30
d)
40
e)

60

10.

What is the measure of angle 2?

(a)  

11.

Find the measure of the missing arc (KN).

(a)  

12.
Find the value of x
a)
6
b)
13
c)
10
d)
9
e)

7.875

13.
Find the value of x
a)
10
b)
15
c)
12
d)
19
14.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
e)

Phish Line

15.

What is the measure of ∠PTQ?

(a)  

16.
A ____ is a line, ray, or segment that intersects a circle at two points.
a)
Tangent
b)
Secant
c)
Radius
d)
Arc
e)

Central Angle

17.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
e)

292

18.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
e)

radius

19.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
e)

radius

20.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
e)

radius

21.

Classify arc EFC.

a)

Major Arc

b)

Minor Arc

c)

Semicircle

22.

Classify arc BCE.

a)

Major Arc

b)

Minor Arc

c)

Semicircle

23.

Classify arc CD.

a)

Major Arc

b)

Minor Arc

c)

Semicircle

24.

What is the measure of angle 1?

(a)