Download presentation

Presentation is loading. Please wait.

1
**Advanced Geometry Lesson 3 Circles**

Tangents and Secants

2
**Tangent If a line is tangent to a circle, then it is perpendicular**

to the radius drawn to the point of tangency.

3
Example: is tangent to A at point C. Find x.

4
Example: Determine whether is tangent to F. Justify your reasoning.

5
**If two segments from the same exterior point are **

tangent to a circle, then they are congruent.

6
Example: Find x and y.

7
Example: Triangle HJK is circumscribed about G. Find the perimeter of HJK if NK = JL + 29.

8
**Triangle JKL is circumscribed about R. Find x and the perimeter of **

Example: Triangle JKL is circumscribed about R. Find x and the perimeter of JKL. 10

9
Secant

10
**whether they are both secants,**

Two segments, whether they are both secants, both tangents, or one secant and one tangent, can intersect in one of three places: In the Circle On the Circle Outside the Circle

11
**Intersections Inside a Circle**

If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

12
Example: Find m 4 if = 88 and = 76.

13
**Intersections On a Circle**

If a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.

14
Example: Find m RPS if = 114 and = 136.

15
**Intersections Outside of a Circle**

If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

16
Example: Find x. Find x.

Similar presentations

OK

6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed.

6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on pop art Ppt on quran and science Ppt on my dream project Ppt on transient overvoltage in electrical distribution system Ppt on the road not taken interpretation Ppt on producers consumers and decomposers video A ppt on sound Ppt on power grid failure movie Marketing mix ppt on nokia Ppt on center lathe machine