7.2 angles

7.2 angles and arcs

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 is this called?

• Tangent Line

• Secant

• Chord

• Diameter

Multiple Choice

What is this called?

• Chord

• Minor arc

• Secant

• Diameter

Multiple Choice

What best describes segment AB?

• chord

• secant

• tangent

• diameter

What is an angle?

Intercepted Arcs

• the two lines from an angle touch the circle create a intercepted arc

• it is part of the circumference

• the bend in the arc is measured in degrees just like angles are

types of arcs

• minor arcs are less than 180 degrees, 2 letters

• major arcs are more than 180 degrees, 3 letters

• semi circle is half a circle, = 180 degrees, 3 letters

Central angles have their vertex at the center of the circle

Multiple Choice

What is angle AOB?

• x = 160

• x = 40

• x = 80

• x = 360

Multiple Choice

What is the measure of arc WYZ?

• 231

• 255

• 168

• 200

Multiple Choice

What is the measure of arc AD?

• 38

• 142

• 180

• 153

Inscribed angles

Multiple Choice

Solve for x

• 51 degrees

• 61 degrees

• 102 degrees

• 204 degrees

Multiple Choice

Find the measure of the ?

• 48˚
• 110˚
• 122˚
• 84˚

Multiple Choice

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Multiple Choice

Find the measure of the ?

• 98˚

• 140˚

• 122˚

• 100˚

Multiple Choice

What is the m∠U?

• 38⁰

• 19⁰

• 76⁰

• 90⁰

Multiple Choice

What is angle ACB?

• 40 degrees

• 80 degrees

• 60 degrees

• 30 degrees

Multiple Choice

Find the value of d.

• 115

• 65

• 96

• 180

Multiple Choice

What is the measure of angle A?

• 34°

• 180°

• 112°

• 79°

Multiple Choice

Find the value of x

• 100

• 105

• 95

• 90

Multiple Choice

What is the measure of angle 2?

• 80

• 45

• 125

• 40

Multiple Choice

Solve for "?"

• 70

• 220

• 110

• 55

Multiple Choice

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

• 65°

• 70°

• 78°

• 45°