1. 12.2
Chords & Arcs

2. 12.2 – Chords & Arcs Goals / “I can…..”
Use congruent chords, arcs, and central angles
Recognize properties of lines through the center of a circle

3. 12.2 – Chords & Arcs
A segment whose endpoints are on a circle is called a chord.

4. 12.2 – Chords & Arcs Within a circle or congruent circles:
Congruent central angles have congruent chords.
Congruent chords have congruent arcs.
Congruent arcs have congruent central angles
Chords equidistant from the center are congruent.
Congruent chords are equidistant from the center.

5. 12.2 – Chords & Arcs
Find x 18 16 36 x

6. 12.2 – Chords & Arcs
Find a P R Q a 9
12.5

7. 12.2 – Chords & Arcs
In a circle, a diameter that is perpendicular to a chord bisects the chord & its arc.
In a circle, a diameter that bisects a chord (that’s not a diameter) is perpendicular to the chord.
In a circle, the perpendicular bisector of a chord contains the center of the circle.

8. 12.2 – Chords & Arcs
Find the missing length
3 in.
14 in. r

9. 12.2 – Chords & Arcs
Find the missing length 11 15 y

10. 12.2 – Chords & Arcs
Find x
Find the distance from the midpoint of the chord to the midpoint of its MINOR arc. 4 x
6.8