Warm up

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# Warm up - PowerPoint PPT Presentation

Warm up. 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.

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## PowerPoint Slideshow about 'Warm up' - rachel

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Presentation Transcript
Warm up
• 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.

A little extra information
• The word tangent comes from the Latin word meaning to touch
• The word secant comes from the Latin word meaning to cut.
Important Theorems
• 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?

Converse of the Tangent Theorem
• 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

Let’s Practice

I need 2 volunteers to hand out whiteboards and markers.