Download presentation

Presentation is loading. Please wait.

Published byZackery Venters Modified over 2 years ago

1
Section 10 – 1 Use Properties of Tangents

2
Vocabulary Circle – A set of all points that are equidistant from a given point called the center of the circle. Radius – A segment whose endpoints are the center and any point on the circle. Half the diameter. r = ½ d Diameter – A chord that contains the center of the circle. Twice the radius. d = 2r Chord – A segment whose endpoints are on a circle.

3
Secant – A line that intersects a circle in two points. Tangent – A line in the plane of a circle that intersects the circle in exactly one point. tangent secant Point of tangency BA

4
Theorem 10.1 In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle. P Q m

5
Theorem 10.2 The Tangent segments from a common external point are congruent.

6
Example 1 Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of circle C. chord tangent secant

7
Example 2 Find the radius r of circle C. Use the Pythagorean Thm (r + 16) 2 = r 2 + 24 2 (r + 16)(r + 16) = r 2 + 576 r 2 + 32r + 256 = r 2 + 576 32r + 256 = 576 32r = 320 r = 10 r 2 + 16r + 16r + 256 = r 2 + 576

8
Example 3 In circle C, AD is tangent at D and AB is tangent at B. Find x. Use Theorem 10-2 AB = AD 2x 2 + 5 = 13 2x 2 = 8 x = 2 x 2 = 4 2 2

9
Homework Section 10-1 Page 655 – 658 1, 3 – 10, 12, 13, 21 – 26, 43 – 46

Similar presentations

OK

10.1 Tangent Properties to a Circle. POD 1. What measure is needed to find the circumference or area of a circle? 2. Find the radius of a circle with.

10.1 Tangent Properties to a Circle. POD 1. What measure is needed to find the circumference or area of a circle? 2. Find the radius of a circle with.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on personality development presentation Ppt on id ego superego iceberg Run ppt on iphone Ppt on aircraft emergencies with atc Ppt on indian space programme Download ppt on water scarcity Ppt on management by objectives pdf Ppt on sports awards in india Ppt on traction rolling stocks Ppt on english language teaching