Chords

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

6
12.2 Chords Arcs

• Find a

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
  (thats 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

9
12.2 Chords Arcs

• Find the missing length

10
12.2 Chords Arcs

• Find x
• Find the distance from the midpoint of the chord
  to the midpoint of its MINOR arc.