7.4 Circle angles and segments

7.4 Circle angles and segments

Terminology

• tangent line touches circle at one point

• secant goes through circle at two points

• chord touches circle at two points

• diameter is a chord that goes through center

• radius goes from center point to a point on the circle

• arc is segment of the circle

Multiple Choice

What best describes segment AB?

• chord

• secant

• tangent

• diameter

Multiple Choice

What is this called?

• Chord

• Minor arc

• Secant

• Diameter

Multiple Choice

A line that intersects with a circle at two points.

• Secant

• Tangent

• Chord

• Radius

Multiple Choice

What is this called?

• Tangent Line

• Secant

• Chord

• Diameter

Multiple Choice

two tangent lines coming from the same external point are ______________

• similar
• congruent
• perpendicular
• parallel

Multiple Choice

A tangent line intersecting with a radius always creates a ____________ angle

• right
• acute
• obtuse
• straight

Multiple Choice

Is line AB tangent to the circle?

• YES

• NO

  NO

• Can't Tell

  Can't Tell

Multiple Choice

Assume that all the lines that appear tangent are tangent. Find the perimeter

• 54

• 36

• 48

• 42

Multiple Choice

What is the value of x?

• 22

• 25

• 15

• 20

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

• 90

• 309

• 129

• 39

external times the whole length

time

external times the whole length

Multiple Choice

find the length of x

• 1

• 2

• 3

• 4

Multiple Choice

find the length of x

• 25

• 16

• 4

• 18

Multiple Choice

Find the value of x

• 6
• 13
• 10
• 9

external angle =

1/2 (Big ARC -

Little arc)

Multiple Choice

What is the measure of angle 2?

• 80

• 45

• 125

• 40

Multiple Choice

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

Multiple Choice

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

• 65°

• 70°

• 78°

• 45°

Multiple Choice

Solve for x.

• 29

• 33

• 41.5

• 50

Open Ended

What is  $m\angle C$ ?

Multiple Choice

An angle whose vertex is the center of a circle is a(n) ______.

• inscribed angle

• acute angle

• obtuse angle

• central angle

Multiple Choice

What is the name of the angle pictured?

• Central angle
• Inscribed angle
• Interscribed angle
• Circumscribed angle

Multiple Choice

Find the value of x

• 100

• 105

• 95

• 90

Multiple Choice

What is angle ACB?

• 40 degrees

• 80 degrees

• 60 degrees

• 30 degrees

Multiple Choice

One of the six examples from the video is shown. What is the measure of angle K and angle M?

• $m\angle K=100\ \ \&\ \ m\angle M=100$

• $m\angle K=50\ \ \&\ \ m\angle M=50$

• $m\angle K=100\ \ \&\ \ m\angle M=50$

• $m\angle K=50\ \ \&\ \ m\angle M=100$

Multiple Choice

What is x?

• 15

• 23

• 2

• 92

Multiple Choice

What is the measure of arc KL?

• 108

• 106

• 110

• 112

Multiple Choice

What is m∠ACB?

• 67.5°

• 90°

• 22.5°

• 45°

Multiple Choice

Find the measure of arc BC.

• 80

• 106

• 104

• 57

Multiple Choice

Find the measure of X.

• $24.2\degree$

• $96.8\degree$

• $131.6\degree$

• $228.4\degree$

Multiple Choice

What is m∠LMO?

(Segment LO is a diameter of Circle P)

• 30°

• 45°

• 80°

• 90°