# Chapter 12-3 Properties of Chords & Arcs

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```					       Chapter 12-3
Properties of Chords & Arcs
Objective:
• To find the lengths of chords and measures
of arcs of a circle.
• To locate the center of a circle using chords.

Ms. Chew Geometry 1B               1
Congruent Arcs & Chords

Chords are segments with
endpoints on a circle.

Ms. Chew Geometry 1B                  2
• Theorem 12-5
In the same circle or in congruent circles, (1) congruent central
angles have congruent arcs; & (2) congruent arcs have congruent
central angles.

• Theorem 12-6
In the same circle or in congruent circles, (1) congruent chords have
congruent arcs; & (2) congruent arcs have congruent chords.

• Theorem 12-7
A diameter that is perpendicular to a chord bisects the chord and its
arc.
Ms. Chew Geometry 1B                        3
Ms. Chew Geometry 1B   4
Ms. Chew Geometry 1B   5
Ms. Chew Geometry 1B   6
Ms. Chew Geometry 1B   7
Questions?
Complete 12-3
in your homework packet

Ms. Chew Geometry 1B   8

```
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Jun Wang Dr
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