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Circles Flashcards

Total questions: 103

Worksheet time: 4hrs 31mins

Name
Class
Date
1.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
2.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
3.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
4.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
5.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
6.
A chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
7.
An angle whose vertex lies on the circle and whose sides are chords of the circle
a)
inscribed angle 
b)
central angle
c)
arc
d)
radius
8.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
9.
An angle whose vertex is the center of a circle
a)
central angle
b)
inscribed angle
c)
minor arc
d)
major arc
10.

A minor arc has ​ (a)   180°. A major arc has ​ (b)   180°. A semicircle has​ (c)   180°.

Choose from the below words
less than
more than
exactly
11.
A semicircle can have more than 180 degrees.
a)
True
b)
False
12.
The diameter is two times the radius
a)
True
b)
False
13.
A segment with one endpoint at the center & the other endpoint on the circumference
a)
Diameter
b)
Radius
c)
Chord
d)
Tangent
14.
∠ABC is a ________ 
a)
Minor Arc
b)
Major Arc
c)
Semicircle
d)
Inscribed Angle
15.
An arc whose measure is between 180° and 360°
a)
Minor Arc
b)
Semicircle
c)
Major Arc
d)
Central Angle
16.
A line segment whose endpoints are on the circumference.
a)
Diameter
b)
Tangent
c)
Secant
d)
Chord
17.
∠BAC is a ________ angle
a)
major
b)
central
c)
inscribed
d)
obtuse
18.
An angle whose vertex is at the center of the circle.
a)
Central Angle
b)
Inscribed Angle
c)
Radius
d)
Sector
19.
The arc across from the inscribed angle is always _______ the angle.
a)
half
b)
double
20.
True or False: To name a minor arc, you need at least three letters.
a)
True
b)
False
21.

How many chords does the circle contain?

a)

0

b)

1

c)

2

d)

3

22.

Identify all radii.

a)

DB, FC, BF

b)

FC, DF, FB

c)

EA, DB, FB

d)

CF, DF, EA

23.

Identify a chord.

a)

RT

b)

LT

c)

WL

d)

LR

24.

Identify a radius.

a)

RS

b)

ST

c)

WL

d)

RT

25.

Name the circle.

a)

Circle R

b)

Circle T

c)

Circle S

d)

Circle L

26.

A __________ is the longest chord in a circle and goes through the center of a circle.

a)

Diameter

b)

Arc

c)

Chord

d)

Radius

27.

A __________ is a segment that connects the center of a circle to a point on the circle.

a)

Chord

b)

Radius

c)

Diameter

d)

Arc

28.

A __________ is the set of all points equidistant from a common point.

a)

Circle

b)

Diameter

c)

Radius

d)

Chord

29.

BP is a

a)

Radius

b)

Diameter

c)

Chord

d)

Point of Tangency

30.

Select all that apply. BT is a

a)

Chord

b)

Diameter

c)

Line

d)

Radius

31.

Line AB is a

a)

Diameter

b)

Secant Line

c)

Tangent Line

d)

Radius

32.

The place where the tangent line touches the circle is called the

a)

Point of Tangerine

b)

Point of Transparency

c)

Point of Tangency

d)

Point of Tangential

33.

A line that touches (intersects) the circle only once from the outside.

a)

Secant

b)

Chord

c)

Tangent

d)

Line

34.

Line PQ and Line RQ are examples of

a)

Secant Lines

b)

Tangent Lines

c)

Outside Lines

d)

Tangerine Lines

35.
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.
36.
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.
37.
Name a minor arc
a)

ABD

b)
ADB
c)
AB
d)

BDA

38.
Name a major arc.
a)
ABD
b)
BDA
c)

AB

d)

BD

39.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
40.

Name the part shown in the given circle.

a)

Sector

b)

Chord

c)

Segment

d)

Circumference

41.

What is this called?

a)

Chord

b)

Minor arc

c)

Secant

d)

Diameter

42.

What is this called?

a)

Tangent Line

b)

Secant

c)

Chord

d)

Diameter

43.

Value of x is equal to 90°

a)

True

b)

False

44.

What type of arc is arc AEB?

a)

Major

b)

Minor

c)

Semi-circle

d)

Noah's

45.

What is/are the formula(s) to find the area of a circle?

a)

πr2

b)

2πr

c)

√π

46.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

47.
The distance along an arc measured in linear units.
a)
area of a sector
b)
arc length
c)
arc of a circle
d)
sector of a circle
48.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
49.

Name the circle part shown in green

a)

Sector

b)

Arc

c)

Segment

d)

Radius

50.

Name the circle part shown

a)

Arc

b)

Sector

c)

Chord

d)

Radius

51.
What is line AB?
a)
diameter
b)
chord
c)
secant
d)
tangent
52.
What is line PT?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
53.
What is P?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
54.
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
55.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
56.

What is being represented in the image?

a)

Central Angle

b)

Interior Angle

c)

Chord

d)

Diameter

57.

What is being represented in the image?

a)

Radius

b)

Tangent

c)

Interior Angle

d)

Exterior Angle

58.

What is being represented in the image?

a)

Arc

b)

Chord

c)

Central Angle

d)

Concentric Circles

59.

What is being represented in the image?

a)

Interior Angles

b)

Inscribed Angles

c)

Diameter

d)

Concentric Circles

60.

What is being represented in the image?

a)

Inscribed Angle

b)

Interior Angle

c)

Secant

d)

Radius

61.

Line j is an example of a ______

a)

chord

b)

tangent

c)

diameter

d)

secant

62.

What is an example of a point of tangency?

a)

A

b)

F

c)

H

d)

B

63.

Which of the following represents a radius

a)

segment GD

b)

line XM

c)

segment JD

d)

segment AC

64.

Which of the following represents a secant?

a)

segment GD

b)

line XM

c)

segment AC

d)

line AC

65.

Which of the following represents a tangent?

a)

line XM

b)

point X

c)

segment AC

d)

line AC

66.

Which is a true statement about the angles in the circle?

a)

∠1 = ∠2 and ∠3 = ∠4.

b)

∠1 = ∠3 and ∠2 = ∠4.

c)

∠1 = ∠4 and ∠2 = ∠3.

d)

None of the angles have the same measure.

67.

An inscribed angle is ___________ its intercepted arc.

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

68.

What is the difference between a tangent line and a secant line?

a)

A secant intersects the circle twice; a tangent touches the circle once

b)

A tangent intersects the circle twice; a secant touches the circle once

c)

A secant goes through the center of the circle; a tangent does not

d)

A secant is outside the circle; a tangent is inside the circle

69.

What is the formula to use to find a central angle

a)

Central Angle = Intercepted Arc

b)

Central AngleIntercepted Arc\frac{Central\ Angle}{Intercepted\ Arc}

c)

Intercepted Arc2\frac{Intercepted\ Arc}{2}

d)

2(Intercepted Arc)

70.

What is the formula to use when solving for an inscribed angle?

a)

Intercepted Arc2\frac{Intercepted\ Arc}{2}

b)

Equal to the Intercepted Arc

c)

2(Intercepted Arc)

d)

2(Intercepted Arc)2\frac{2(Intercepted\ Arc)}{2}

71.

If a quadrilateral is inscribed in a circle, the opposite angles are

a)

Supplementary

b)

Congruent

c)

Complimentary

72.

What is the formula to use when solving for an intercepted arc of an inscribed angle?

a)

Inscribed Angle2\frac{Inscribed\ Angle}{2}

b)

Equal to the Inscribed Angle

c)

2(Inscribed Angle)

d)

2(Inscribed Angle)2\frac{2(Inscribed\ Angle)}{2}

73.

If 2 inscribed angles intercept the same arc, they are _.

a)

Congruent

b)

Supplementary

c)

Complimentary

74.

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

a)

Inscribed Angle2\frac{Inscribed\ Angle}{2}

b)

2(Inscribed Angle)

c)

2(Intercepted Arc)

d)

Intercepted Arc2\frac{Intercepted\ Arc}{2}

75.

What is the formula to use when solving for a segment length of intersecting chords in a circle?

a)

ab=cd

b)

a(a+b)=c(c+d)

c)

a2=b(b+c)a^2=b\left(b+c\right)

d)

a+b=c+d

76.

What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?

a)

Major ArcMinor Arc2\frac{Major\ Arc-Minor\ Arc}{2}

b)

Major Arc +Minor Arc2\frac{Major\ Arc\ +Minor\ Arc}{2}

c)

2(Major Arc + Minor Arc)

d)

Major Arc - Minor Arc

77.

If 2 segments from the same external point are tangent to a circle, then they are_.

a)

Supplementary

b)

Congruent

c)

Complimentary

78.

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

a)

Minor ArcMajor Arc2\frac{Minor\ Arc-Major\ Arc}{2}

b)

Major ArcMinor ArcMajor\ Arc-Minor\ Arc

c)

Major ArcMinor Arc2\frac{Major\ Arc-Minor\ Arc}{2}

d)

Major Arc+Minor Arc2\frac{Major\ Arc+Minor\ Arc}{2}

79.
a)
Tangent
b)
Secant
c)
Chord
d)
Radius
80.

Chord

a)

A line in the plane of a circle that intersects the circle in exactly one point

b)

Segment whose endpoints are on a circle

c)

An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle

d)

The set of all coplanar points equidistant to a given point called the center

81.

Intercepted Arc

a)

A line in the plane of a circle that intersects the circle in exactly one point

b)

Segment whose endpoints are on a circle

c)

An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle

d)

The set of all coplanar points equidistant to a given point called the center

82.

Point of Tangency

a)

Where a circle and a tangent intersect

b)

An angle whose vertex is on the circle and whose sides are chords of the circle

c)

Intersects a circle at two points

d)

Angle whose vertex is at the center of the circle

83.

Inscribed Angle Theorem

a)

mB=12mACm\angle B=\frac{1}{2}mAC

b)

The product of a secant and its outer segment equals the square of the tangent.

c)

The products of secants and their outer segments are equal.

d)

The products of secants and their outer segments are equal.

84.

Inscribed Angle

a)

Where a circle and a tangent intersect

b)

An angle whose vertex is on the circle and whose sides are chords of the circle

c)

Intersects a circle at two points

d)

Angle whose vertex is at the center of the circle

85.

Tangent Line

a)

A line in the plane of a circle that intersects the circle in exactly one point

b)

Segment whose endpoints are on a circle

c)

An arc with endpoints on the sides of an inscribed angle and other points in the interior of the angle

d)

The set of all coplanar points equidistant to a given point called the center

86.

Secant

a)

Where a circle and a tangent intersect

b)

An angle whose vertex is on the circle and whose sides are chords of the circle

c)

Intersects a circle at two points

d)

Angle whose vertex is at the center of the circle

87.

Central Angle

a)

Where a circle and a tangent intersect

b)

An angle whose vertex is on the circle and whose sides are chords of the circle

c)

Intersects a circle at two points

d)

Angle whose vertex is at the center of the circle

88.
Which is the correct equation to find m<KLM?
a)
x = 1/2(140 - 66)
b)
x = 1/2(140+66)
c)
66 = 1/2(140 - x)
d)
66 = 1/2(140 + x)
89.

The segments formed from two chords that intersect in the interior of a circle

a)

semicircle

b)

secants

c)

segments of a chord

90.

A segment that contains a chord of a circle, and has exactly one endpoint outside the circle

a)

secant segment

b)

tangent segment

c)

point of tangency

91.

If the endpoints of a chord or arc lie on the sides of an inscribed angle, the chord or arc is said to ____________ the angle

a)

tangent

b)

secant

c)

subtend

92.
What can you conclude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
93.

Select the theorem used to find the missing segment.

a)

Intersecting Interior Chords

b)

Intersecting Exterior Secants

c)

Intersecting Exterior Secant and Tangent

94.

Where in the intersection of the secants shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.

95.

Where in the intersection of the secants shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.

96.

Where in the intersection of the chords shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The chords do not intersect.

97.

What is the intercepted arc of <3?

a)

arc QP

b)

arc QR

c)

arc PS

d)

arc RS

98.

What is the intercepted arc of <1?

a)

arc AB

b)

arc CD

c)

arc AD

d)

arc BC

99.



AC\overline{AC} is a... 

a)

Secant

b)

Tangent

c)

Chord

d)

Point of Tangency

100.

Which of the following statements is true if two tangents are drawn to a circle from an external point?

a)

the two tangents are secants

b)

the radius is perpendicular to the chord

c)

the tangent segments are congruent

d)

the products of their segments are equal

101.

How would you find the measure of the angle formed by two secants intersecting outside the circle?

a)

twice the difference of the two intercepted arcs

b)

thrice the difference of the two intercepted arcs

c)

one-half the difference of the two intercepted arcs

d)

one-third the difference of the two intercepted arcs

102.

If two chords intersect each other inside a circle, then the products of their segments are equal. What theorem corresponds to this statement?

a)

Radius-Tangent

b)

Intersecting Chords/Two-Intersecting Chords

c)

Perpendicular Chords

d)

Secant-Tangent

103.

The region bounded by an arc and its chord.

a)

Arc Length

b)

Segment of a circle

c)

Sector of a circle

d)

Tangent