Construct a chord to the given circle. Construct a perpendicular bisector of the chord. Move the chord around and see what happens to the perpendicular bisector.
The perpendicular bisector of a chord always goes through what point of the circle.
Construct a diameter of the circle. Draw a chord such that it is perpendicular to the diameter. Find the lengths of each segment of the chord. Find the measure of the arc created by the endpoints of the chord.
If a diameter is perpendicular to a chord then the diameter will __________________. (complete the statement)
bisect the chord and the arc the chord created.
In general any line, ray, or segment going through the center of a circle and perpendicular to a chord will bisect the chord and the arc the chord creates.
Find the measure of arc CD and arc EF. Find the distance the chords are from the center.
What is the measure of arc CD and arc EF
If two chords of the same circle are congruent then what two conclusions can we make?
The two arcs created by the congruent chords will also be congruent, and the two congruent chords will be the same distance from the center.