Download presentation

Presentation is loading. Please wait.

Published byLouis Mealor Modified over 2 years ago

1
Tangents Section 10.5

2
Definition: Tangent A tangent is a line in the plane of a circle that intersects the circle in exactly one point.

3
Tangent Radius Theorem If a radius is drawn to the point of contact then the tangent is perpendicular to the radius. If is tangent to circle P, then

4
Two Tangent Theorem If two tangent segments are drawn to a circle from an external point, then those segments are congruent. If are tangent and share point S as an endpoint, then

5
Example 1 Find x. Assume that all segments that appear to be tangent are tangent. CD = 8, CE = 5 Decide which angle must be the right angle and set up Pythagorean Theorem must be the right angle so

6
Ex. 2 Find x. Assume that segments that appear to be tangent are tangent.

7
Ex 3 Assume that all segments that appear to be tangent are tangent. Find ST.

8
Ex 4 Is tangent to the circle? Why or why not?

9
Ex 5 Find the perimeter of the polygon given that all sides that appear to be tangent are tangent.

10
Homework: Pg. 593 5 – 22, 37, 39 - 42

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google