The perpendicular bisector of a chord
- contains the circle's center
- divides the chord into two congruent segments (bisects the chord)
- is perpendicular to the chord
Practice Problems
Problem 1
How long is chord DU?
Since the blue line is the perpendicular bisector of DU, DU = 5+5=10
Problem 2
What is the measure of the radius of the circle on the left?
Step 1
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Answer
![]( "Perpendicular Bisector of Chord")
62+52=r2
r =7.8
Problem 3
In only one of the two circles is the blue line a perpendicular bisector of chord DU. Which circle and why?
