circles
Download
Skip this Video
Download Presentation
circles

Loading in 2 Seconds...

play fullscreen
1 / 24

circles - PowerPoint PPT Presentation


  • 147 Views
  • Uploaded on

circles. 10.1 Tangents to Circles. Circle Radius Diameter Chord Secant Tangent. Write the following down. Tangent. Circle. Radius. Diameter. Chord. Secant. Based on the picture write your own definitions….

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
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.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
circles

circles

10.1 Tangents to Circles

write the following down

Circle

  • Radius
  • Diameter
  • Chord
  • Secant
  • Tangent
Write the following down
share your thoughts

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

  • Change your definition based on your conversations.
Share your thoughts…
slide5

Circle –

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.

slide6

Chord –

  • a segment whose endpoints are on the circle.
  • Is the diameter a chord?
  • Yes, but it passes through the center of the circle.
slide7

Secant –

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

Draw two congruent circles.

  • What property do they share?
  • Circles are congruent if they have the same radius.

2

2

Congruent?
slide9

c

AD

CD

d

common tangents

k

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 Tangents

n

pythagorean thm

144 + 256 = 400

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

perpendicular.

So the segment is tangent.

16

12

20

Pythagorean thm.
pythagorean thm1

144 + 100 = 240.25

  • not a right triangle
  • So it’s not perpendicular.

10

12

15.5

Pythagorean thm.
find the radius given that bc is tangent to the circle and therefore perpendicular to the radius

B

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.
draw if two segments from the same exterior point are tangent to a circle then they are congruent

A

C

B

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

CA = CB

find x1

2x + 10 = 4x-15

  • 25 = 2x
  • 12.5 = x

2x + 10

4x - 15

Find x
homework

Homework

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

ad