Presentation is loading. Please wait.

Presentation is loading. Please wait.

LINES THAT INTERSECT CIRCLES Geometry H2 (Holt 12-1) K. Santos.

Similar presentations


Presentation on theme: "LINES THAT INTERSECT CIRCLES Geometry H2 (Holt 12-1) K. Santos."— Presentation transcript:

1 LINES THAT INTERSECT CIRCLES Geometry H2 (Holt 12-1) K. Santos

2 Circle definition Circle: set of all points in a plane that are a given distance (radius) from a given point (center). Circle P P Radius: is a segment that connects the center of the circle to a point on the circle

3 Interior & Exterior of a circle Interior of a circle: set of all the points inside the circle Exterior of a circle: set of all points outside the circle

4 Lines & Segments that intersect a circle A G O B F E C D Chord: is a segment whose endpoints lie on a circle. Diameter: -a chord that contains the center -connects two points on the circle and passes through the center Secant: line that intersects a circle at two points

5 Tangent A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point Tangent may be a line, ray, or segment The point where a circle and a tangent intersect is the point of tangency A B

6 Pairs of circles Congruent Circles: two circles that have congruent radii Concentric Circles: coplanar circles with the same center

7 Tangent Circles Tangent Circles: coplanar circles that intersect at exactly one point Internally tangentexternally tangent circlescircles

8 Common Tangent Common tangent: a line that is tangent to two circles Common externalcommon internaltangents

9 Theorem

10 Example

11

12 Theorem

13 Example—Is there a tangent line? Determine if there is a tangent line?

14 Theorem

15 Example:


Download ppt "LINES THAT INTERSECT CIRCLES Geometry H2 (Holt 12-1) K. Santos."

Similar presentations


Ads by Google