Warm-up A E B D 37o C ( ( ( ( Find the measure of DC and AB and AD and ACD.

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Presentation transcript:

Warm-up A E B D 37o C ( ( ( ( Find the measure of DC and AB and AD and ACD

Table of Contents 27. Arcs and Chords

Arcs and Chords Standard – MM2G3 – Understand properties of circles Essential Question – What are some rules relating to chords?

Chords You already know what a chord is, here are some rules. Two minor arcs are congruent if and only if the chords that go with them are congruent. Like this…

The Converse of this theorem also holds true. Next Rule If a diameter is perpendicular to a chord then it bisects the chord. The Converse of this theorem also holds true.

In a circle, two chords are congruent only if they are the same distance from the center. Last Rule 9 9

C B A 55

D 3x+11 2x+47 A B C

6 x

25 5x