Download presentation

Presentation is loading. Please wait.

Published byLawrence Brookings Modified over 2 years ago

1
OBJECTIVES: STUDENTS WILL BE ABLE TO… USE THE RELATIONSHIP BETWEEN A RADIUS AND A TANGENT USE THE RELATIONSHIP BETWEEN 2 TANGENTS FROM ONE POINT FIND THE MEASURE OF AN ANGLE FORMED BY 2 TANGENTS INTERSECTING OUTSIDE THE CIRCLE 11.1: Tangent lines

2
Warm Up K B C A 85° 1.Name a minor arc and find its measure. 2.Find measure of

3
DEFINITION TANGENT TO A CIRCLE: Line in the plane of the circle that intersects the circle at exactly one point. POINT OF TANGENCY: Where the circle and the tangent line intersect

4
THEOREM If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

5
Find the value of x. Assume the lines are tangent to the circle. x°110°

6
Find x. Assume the line is tangent. B A C 42° x°

7
Find x. Assume AB is tangent to the circle. B A x° 60° C

8
Theorem If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle. Line AB is tangent to circle O.

9
Is segment AB tangent to the circle? 24 7 27 B A

10
Is segment AB tangent to the circle? 15 5 16 A B

11
DEFINITIONS A polygon is inscribed in a circle if all vertices of the polygon lie on the circle. A polygon is circumscribed about the circle if each side of the polygon is tangent to the circle.

12
THEOREM The 2 segments tangent to a circle from a point outside the circle are congruent.

13
EXAMPLE: Find x. The lines are tangent to the circle. 17 x

14
Find x 2x+7 21

15
Find the perimeter.

16
You try….find the perimeter.

17
Theorem: The measure of an angle formed by 2 lines that intersect outside a circle is half the difference of the measures of the intercepted arcs. In other words, the measure of angle 1 is…

18
Example: Find x.

Similar presentations

OK

Circle Vocabulary Parts of a circle: 1.Radius – a segment inside a circle that starts at the center and ends at a point on the circle.(named with two letters)

Circle Vocabulary Parts of a circle: 1.Radius – a segment inside a circle that starts at the center and ends at a point on the circle.(named with two letters)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

How to open ppt on mac Ppt on 3 idiots movie songs Ppt on review writing books Ppt on types of agriculture in india Ppt on dance steps Ppt on c language fundamentals ii Ppt on understanding secularism in india Ppt on types of rocks Science ppt on fibre to fabric Ppt on network theory of immigration