10 2 find arc measures n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
10.2 Find Arc Measures PowerPoint Presentation
Download Presentation
10.2 Find Arc Measures

Loading in 2 Seconds...

play fullscreen
1 / 10

10.2 Find Arc Measures - PowerPoint PPT Presentation


  • 59 Views
  • Uploaded on

10.2 Find Arc Measures. Central Angle – an angle whose vertex is the center of a circle. A. C. B. Central Angles.  ACB is a central angle. Arcs. Arc - a piece of a circle. - named with 2 or 3 letters - measured in degrees

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 '10.2 Find Arc Measures' - zev


Download Now 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
slide2
Central Angle – an angle whose vertex is the center of a circle

A

C

B

Central Angles

ACB is a central angle

slide3
Arcs

Arc - a piece of a circle.

- named with 2 or 3 letters

- measured in degrees

Minor Arc - part of a circle that measures less than 180o (named by 2 letters).

A

B

B

(

BP

P

more arcs
More Arcs

Major Arc - part of a circle that measures between 180o and 360o. Named with three letters

Semicircle – an arc whose endpoints are the endpoints of a diameter of the circle (or ½ of a circle)

CPS

A

B

(

(

ABC or CBA

C

C

P

(

S

arc measures
Arc Measures

Measure of a Minor Arc – equals the measure of its central angle

Measure of a Major Arc – equals 360o minus the measure of the minor arc

example find the arc measures
example: find the arc measures

(

m AB =

m BC =

m AEC =

m BCA

50o

E

(

130o

(

180o

A

180o

(

50o

=180o+130= 310o

130o

C

or

360o - 50o = 310o

B

arc a ddition p ostulate
Arc Addition Postulate

The measure of an arc formed by two adjacent arcs is the sum of the measures of those arcs.

B

A

C

(

(

(

m AB + m BC = mABC

congruency among arcs
Congruency Among Arcs

Congruent Arcs - 2 arcs with the same measure and the same length

They MUST be from the same circle or  circles!!!

example
Example

(

m AB = 30o

(

A

m DC = 30o

(

(

AB  DC

30o

E

B

D

30o

C

example continued
example continued

(

mBD = 45o

A

(

mAE = 45o

B

(

(

BD  AE

45o

The arcs are the same measure; so, why aren’t they ?

C

D

E

The 2 circles are NOT  !