Circles, Angles, and Lines

Angles Created By Tangent and Secant Lines

Review of Vocabulary

• Secant lines intersect a circle in two points

• Tangent lines touch a circle at a single point

• Chords are segments with end points on the circle.

Angle formed by a chord and a tangent line

On the circle!

Multiple Choice

What is the measure of angle GED?

• 104

• 154

• 26

• No clue

Multiple Choice

What is the measure of angle ABD?

• No idea

• 84

• 68

• 96

Multiple Choice

• 302

• 151

• 29

• 58

Theorem: Tangent lines are perpendicular to radii at the point of tangency.

Angles formed by tangent lines

Supplementary to the central angle or the arc it intercepts.

Multiple Choice

• 172

• 108

• 126

• 72

Multiple Choice

Find the measure of angle Q.

• 47

• 133

• 156.5

Angles formed by two secants

Multiple Choice

What is the measure of angle L?

• 73

• 74

• 103

• 37

Multiple Choice

What is the measure of arc MK?

• 48

• 84

• 112

• 90

Multiple Choice

• 70

• 116

• 81

• 166