Arcs - PowerPoint PPT Presentation

1 / 8
About This Presentation
Title:

Arcs

Description:

Theorem 9-1 In a circle or in congruent circles, two minor arcs are congruent ... A stop sign is an octagon with congruent sides. ... – PowerPoint PPT presentation

Number of Views:64
Avg rating:3.0/5.0
Slides: 9
Provided by: cottonwood4
Category:
Tags: arcs | octagon

less

Transcript and Presenter's Notes

Title: Arcs


1
9-3
Arcs Chords
Pg 459-465
Wednesday, November 18, 2009
2
What You'll Learn
To recognize and us relationships among arcs,
chords, and diameters.
Why It's Important
You can use arcs and chords to solve problems
involving geology.
3
Vocabulary
  • Arc of the chord When a minor arc and a chord
    share the same endpoints.
  • Theorem 9-1 In a circle or in congruent
    circles, two minor arcs are congruent if and only
    if their corresponding chords are congruent.

AB CD EF
4
Vocabulary
  • A polygon is an inscribed polygon if each of its
    vertices lies on a circle.
  • Theorem 9-2 In a circle, if a diameter is
    perpendicular to a chord, then it bisects the
    chord and its arc.

5
Vocabulary
  • Theorem 9-3 In a circle or in congruent
    circles, two chords are congruent if and only if
    they are equidistant from the center.

AB CD
6
Examples
A stop sign is an octagon with congruent sides.
It can be inscribed in a circle by using the
center of the sign and a vertex of the sign as
endpoints for the radius of the circle, as in
QR. Find the measure of each of the eight
corresponding arcs of a circle around the stop
sign shown at the right.
R
STOP
Q
7
Examples
Suppose a chord of a circle is 10 inches long and
12 inches from the center of the circle. Find the
length of the radius.
8
Assignment Page 462 13 39 odd 47 56 all
Write a Comment
User Comments (0)
About PowerShow.com