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## PowerPoint Slideshow about ' circles' - milica

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### circles

### Homework

10.1 Tangents to Circles

Talk to the person NEXT TO YOU about what you got for each of your definitions.

- Change your definition based on your conversations.

a set of all points in a plane that are equidistant from a given point

Radius –

distance from the center to a point on a circle.

Diameter –

the distance across a circle through the center.

- a segment whose endpoints are on the circle.
- Is the diameter a chord?
- Yes, but it passes through the center of the circle.

- a line that intersects a circle in two points.
- Tangent –
- a line that intersects a circle at exactly one point.

Common Internal Tangent – Intersects the segment that joins the centers of the two circles.

D

C

j

m

Common External Tangent – Does not intersect the segment that joins the centers of the two circles.

A

B

Common Tangentsn

- It’s a right triangle!
- So the segment is

perpendicular.

So the segment is tangent.

16

12

20

Pythagorean thm.16 ft

r

C

A

r

8 ft

Find the radius, given that BC is tangent to the circle, and therefore perpendicular to the radius.When will the purple segment be equal to the corresponding black segment?

C

B

Draw! (If two segments from the same exterior point are tangent to a circle, then they are congruent.CA = CB

Pg. 599: 18-28, 36-41, 46-48

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