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7.6. What’s The Relationship? Pg. 21 Tangents and Chords. 7.6 – What’s The Relationship? Tangents and Chords.

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### 7.6

What’s The Relationship?

Pg. 21

Tangents and Chords

7.6 – What’s The Relationship?

Tangents and Chords

So far, you have studied about the relationships that exist between angles and chords (line segments) in a circle. Today you will extend these ideas to include the study of lines and circles.

Q

A line that intersects a circle in two points.

P

R

Q

A

A segment with both endpoints on the circle

P

tangent

In a plane, a line is ______________ to a circle if and only if the line is ____________________ to a radius of the circle and its endpoint on the

circle.

perpendicular

Tangent segments from a common ____________ point are ___________________.

external

congruent

C

A

B

7.30 – VOCABULARY

State the best term for the given figure.

C

center

Half the arc

180°

180°

90°

90°

2x°

2x°

2y°

2y°

tangent

chord

If a __________ and a ________ intersect at a point _____ a circle, then the measure of each angle formed is _______ the measure of its intercepted arc.

on

half

Arc

2

Tangent angle =

c

z

y

z

x

y

7.32 – TANGENT ANGLES

Find the value of the missing variables.

84°

168°

192°

120°

120°

60°

60°

60°

248°

124°

56°

90°

180°

29°

90°

180°

29°

90°

180°

61°

122°

29°

61°

90°

180°

61°

122°

7.33 – TANGENT SEGMENTS

The points K and M are points of tangency. Find the value of x.

7.34 – TANGENT SEGMENTS

Find the value of x if point B is the point of tangency.