1. 7-3 Arcs and Chords Objectives:
To recognize and use relationships among arcs, chords, and diameters.

2. Vocabulary
Arc of the Chord
Inscribed Polygon

3. Arc of the Chord
When a minor arc and a chord share the same endpoints we call the arc, the arc of the chord.

4. Inscribed Polygon
A polygon is an inscribed polygon if each of vertices lies on the circle.

5. Theorem 7-1
In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

6. Example 1
Find

7. Theorem 7-2
In a circle, if a diameter, or portion of a diameter, is perpendicular to a chord, then it bisects the chord and its arc.

8. Example 2
Find

9. Theorem 7-3
In a circle, two chords are congruent if and only if they are equidistant from the center.

10. Example 3
Find

11. Homework
7-3 Worksheet