Download presentation

Presentation is loading. Please wait.

Published byKellie Jester Modified over 2 years ago

1
10.1 Use Properties of Tangents

2
Circle - the set of all points in a plane that are equidistant from a given point. Center - point in the middle of the circle Radius - distance from the center of a circle to a point on the circle Diameter - a chord that passes through the center of a circle. Definitions

3
P P is the center of the circle Q R QR is a diameter S QP, PR, and PS are radii

4
Chord - a segment whose end points are on the circle. Secant - a line that intersects a circle at 2 points (the line containing a chord) Tangent - a line that intersects a circle in exactly one point. Point of Tangency – the point where a tangent intersects the circle More Definitions

5
A B C D E l AC is a chord Line l is a tangent ED is a secant B is the point of tangency

6
AH EI DF CE A B C D E F G H I tangent diameter chord radius

7
Concentric Circles circles that have a common center but different radii lengths More Definitions

8
Tangent Circles - circles that intersect at one point Common Tangent - a line or segment that is tangent to two circles Common Internal Tangent - a tangent that intersects the segment that connects the centers of the circles Common External Tangent - does not intersect the segment that connects the centers

9
Tangent Circles Externally Internally

10
Common Internal Tangent Common External Tangent

11
example Is the segment common internal or external tangent? Common Internal

12
Tangent/Radius Theorem If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

13
example Is CE tangent to circle D? Explain D E C 11 45 43 11 2 + 43 2 = 45 2 121 + 1849 = 2025 1970 = 2025 NO

14
example Solve for the radius, r A B C r 28ft 14ft r 2 + 28 2 = (r + 14) 2 r 2 + 784 = r 2 + 28r + 196 784 = 28r + 196 588 = 28r 21 = r

15
Congruent Tangents Corollary If 2 segments from the same exterior point are tangent to a circle, then they are .

16
example AB is tangent to circle C at point B. AD is tangent to circle C at point D. Find the value of x. C B D A x 2 + 8 44 x 2 + 8 = 44 x 2 = 36 x = 6

Similar presentations

OK

Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.

Section 10-1 Tangents to Circles. Circle The set of all points in a plane that are equidistant from a given point (center). Center Circles are named by.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on historical places in hyderabad Ppt on human nutrition and digestion quiz Ppt on first conditional pdf Ppt on review writing Gastric anatomy and physiology ppt on cells Ppt on origin of earth Ppt on understanding marketing management Ppt on nature and human ads Ppt on great indian leaders Ppt on sound navigation and ranging system of equations