# Chord & Arc Properties

## Investigation #1

1. Change the length of the chords in the circle so that the chords are congruent.
2. Connect each endpoint of each chord to the center of the circle. (use the segment button!)
3. Measure both central angles created, and compare.
4. What can we conclude from this (about the central angles and the intercepted arcs?)

## Investigation #2

1. Move the endpoints of the two chords in the circle below so that the chords are congruent.
2. Then measure each perpendicular segment from the chord to the center. (use the distance button!)
3. What can we conclude?

## Investigation #3

1. Place a point at the intersection of the chord and the line drawn from the center. (use the intersect button!)
2. Measure the angle formed by the chord and the line drawn from the center.
3. Measure the length of the two pieces that the chord is broken up into. (use the distance button!)
4. What can we conclude?

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