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Warm up

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- 2 – 18 evens only.
- This will be graded in 10 minutes.

- 2.79
- 27.93
- 61.78
- 138.4
- 7.16
- 309.4°
- 107 °
- 16.1.6 °
- 18.72.5 °

9.2 Tangents and Secants

Tangents and secants are LINES.

A tangent line intersects the circle at exactly ONE point.

A secant line intersects the circle at exactly TWO points.

- The word tangent comes from the Latin word meaning to touch
- The word secant comes from the Latin word meaning to cut.

- Tangent Theorem:
- If a line is tangent to a circle, then the line is perpendicular to a radius of the circle drawn to the point of tangency.

The line AB is tangent to circle C at B.

How could we prove that segment CB and line AB are perpendicular?

- Go waaaayyy back… how do we get a converse statement?
- What would be the Converse of the Tangent Theorem?
- If a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.

- A radius that is perpendicular to the chord of a circle bisects the chord.

QR = 3

What is the measure of RS?

XR = 7 and WR = 2

Find the missing measures of the remaining segments.

RZ =

RY =

XW =

WZ =

XZ =

7

7

6.7

6.7

13.4

I need 2 volunteers to hand out whiteboards and markers.

- Pg 577; 10-13, 19-26
- Pg 846, Lesson 9.2, 1-6