Arcs and Chords

Section 10-3

Theorem 9-1

In a circle or in congruent circle, two minor arcs are congruent iff their corresponding chords are congruent. A

B

C

DCDAB

CDABIf

,

A polygon is an inscribed polygon if each of its vertices lies on a circle.

Theorem 10-3 In a circle, if a diameter is

perpendicular to a chord, then it bisects the chord and its arc. A

BC

DX

CDAB XBAX DBAD

Theorem 10-4 In a circle or in congruent

circles, two chords are congruent iff they are equidistant from the center.

C

R

BA

XP

M

AX=PM

Joke Time

What’s a cow’s favorite painting?

The Moona Lisa

What does the tooth fairy give for half a tooth?

Nothing. She wants the tooth, the whole tooth, and nothing but the tooth!