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9.4 Arcs and chords 1) draw a circle 2) draw a chord of the circle 3) Copy the cord and past the cord back into the circle 4) drag the new chord so that it is on top of the old chord. 5) rotate the chord any number of degrees (suggest 180) 6) draw in the central angles whose end points are on the chord. 7) Measure the (central) angles. • Theorem: in a circle or congruent circles 1) Congruent arcs have congruent chords. 2) Congruent chords have congruent arcs • Keep this diagram: • 1) construct the midpoint of the chord that you drew. 2) Draw a segment from the center of the circle to the midpoint of each chord. 3) measure the angle formed. • Theorem: a Diameter that is perpendicular to a chord bisects the chord and its arc. • 1) Measure the distance that each chord is from the center of the circle. • What did you find out? What conclusions can you draw?
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