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
Since the blue line is the perpendicular bisector of DU, DU = 5+5=10
Step 1
![](images/chords/perpendicular_bisector/pythagorean1-step2_CCCCFF.jpg)
Answer
62+52=r2
r =7.8
![Perpendicular Bisector of Chord](images/chords/perpendicular_bisector/pythagorean2_CCCCFF.jpg)
![](images/chords/perpendicular_bisector/Ans-determine_perp_bisector_CCCCFF.jpg)