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

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Presentation on theme: "Warm-up A E B D 37o C ( ( ( ( Find the measure of DC and AB and AD and ACD."— Presentation transcript:

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

2 Table of Contents 27. Arcs and Chords

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

4 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…

5 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.

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

7 C B A 55

8

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

10 6 x

11 25 5x


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