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Basic Geometry circle parts review

Total questions: 40

Worksheet time: 3hrs 55mins

Name
Class
Date
1.
a)
240
b)
230
c)
205
d)
255
2.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
3.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
4.

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

5.
Find x
a)
10
b)
5
c)
18
d)
9
6.
Given the following inscribed quadrilateral, what is the value of y?
a)
10
b)
20
c)
30
d)
40
7.
x = ?
a)
90
b)
180
c)
45
d)
80
8.
Find x.  Assume that segments that appear to be   tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
9.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
10.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

11.

solve for the missing angle

a)

45 degrees

b)

90 degrees

c)

100 degrees

d)

not enough information to answer

12.
Find the measure of Arc MN
a)
66
b)
73.5
c)
147
d)
33
13.
In a circle, if a diameter is is perpendicular to a chord, then:
a)

it bisects just the chord

b)
it bisects the corresponding arc
c)
it bisects BOTH the chord and its arc
d)
none of these answers are correct
14.
Find the measure of Arc MN
a)
96
b)
114
c)
228
d)
48
15.

Determine the value of x using the information in the diagram.

a)

136º

b)

70º

c)

68º

d)

66º

16.
A chord that passes through the center of the circle is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
17.
In a circle (or congruent circles), chords that are the same distance from the center:
a)
are similar
b)
have the same name
c)
are congruent to each other
d)
are walking dead
18.
A tangent line intersecting with a radius always creates a ____________ angle
a)
right
b)
acute
c)
obtuse
d)
straight
19.
two tangent lines coming from the same external point are ______________
a)
similar
b)
congruent
c)
perpendicular
d)
parallel
20.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

21.
What is line segment AB?
a)
External Segment
b)
Diameter
c)
Radius
d)
Chord
22.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
23.
What is the radius?
a)
18
b)
72
c)
38
d)
14
24.
QS is a tangent to circle P.  Find QS.
a)
144
b)
14
c)
12
d)
13
25.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
26.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

27.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

28.

What is the definition of a secant?

a)

A line segment whose endpoints are on the circle.

b)

A line that intersects a circle in one point.

c)

A line that intersects a circle in two points.

d)

A line segment which intersects the circle at the point of secancy.

29.

What is the point of tangency?

a)

The point where the tangent intersects a circle.

b)

The point where the tangent interssects the center of the circle.

c)

The point where the tangent intersects with another tangent.

d)

The point where the tangent intersects with a secant.

30.
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.
31.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees. 
d)
It measures less than 180 degrees.
32.

How many degrees are in a triangle?

a)

90°

b)

180°

c)

270°

d)

360°

33.

How many degrees are in a Quadrilateral?

a)

90°

b)

180°

c)

270°

d)

360°

34.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
35.

In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding ___________ are congruent.

a)

central angle

b)

inscribed angle

c)

intercepted arc

d)

congruent arc

36.

If a quadrilateral is inscribed in a circle, then its opposite angles are ___________.

a)

complementary

b)

supplementary

c)

congruent

d)

bisect

37.

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

a)

measures

b)

sum

c)

twice

d)

half

38.

If a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

a)

difference

b)

sum

c)

twice

d)

half

39.

Fill in the blank:

A perpendicular bisector is perpendicular to and passes through the ___________________ of a segment.

a)

endpoint

b)

circumferential point

c)

midpoint

d)

radius

40.
In a circle, the perpendicular bisector of a chord:
a)
is tangent to the circle
b)

is a diameter or a radius

c)
is a right triangle
d)
eats frosted flakes for dinner

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