- 147 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' circles' - milica

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

Presentation Transcript

### circles

### Homework point.

10.1 Tangents to Circles

- Circle
- Radius
- Diameter
- Chord
- Secant
- Tangent

- 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.

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

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

- Draw two congruent circles.
- What property do they share?
- Circles are congruent if they have the same radius.

2

2

Congruent?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

- 144 + 256 = 400 point.
- It’s a right triangle!
- So the segment is
perpendicular.

So the segment is tangent.

16

12

20

Pythagorean thm.- 144 + 100 = 240.25 point.
- not a right triangle
- So it’s not perpendicular.

10

12

15.5

Pythagorean thm.B point.

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 point.purple segment be equal to the corresponding black segment?

Are they equal yet? point.

A point.

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

Download Presentation

Connecting to Server..