Download presentation

Presentation is loading. Please wait.

1
**10.1 Use Properties of Tangents**

Use properties of a tangent to a circle

2
Vocabulary: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. A segment whose endpoints are the center and any point on the circle is a radius. A chord is a line segment that intersects a circle in two points. The diameter of a circle is a chord that goes through the center of the circle.

3
**Vocabulary A secant is a line that intersects a circle in two points.**

A tangent is a line in the plane of a circle that intersects the circle in exactly one point, the point of tangency.

4
Example 1: Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of circle C. DC BD DE AE

5
Example 2

6
Coplanar Circles Two circles can intersect in two points, one point, or no points. Coplanar Circles that intersect in one point are called tangent circles. Coplanar circles that have a common center are called concentric

7
Common Tangents A line, ray, or segment that is tangent to two coplanar circles is called a common tangent.

8
**Example 3: Draw common Tangents**

Tell how many common tangents the circles have.

9
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.

10
Example 4: In the diagram, AB is a radius of circle A. Is BC tangent to circle A. Explain.

11
Example 5: In the diagram, S is a point of tangency. Find the radius of r of circle T.

12
Theorem 10.2: Tangent segments from a common external point are congruent

13
**Example 6: Use properties of tangents.**

In circle C, DA, is tangent at A and DB is tangent at B. Find x.

14
Homework Pg 655/1-10,12-17,27,28,35,36

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 grid interconnection of renewable energy sources Ppt on trans-siberian railway stops Ppt on networking related topics on meteorology A ppt on amelia earhart Ppt on aircraft landing gear system ppt Ppt on javascript events tutorial Ppt on different types of forests in the us Ppt on event driven programming disadvantages Ppt on internet addiction Ppt on perimeter and area for class 4