Thread: Geometry proof help?

Prove that the perpendicular bisectors of two nonparallel chords that are not diameters intersect at the center of the circle.

I have some of the problem, but I'm having trouble proving it's the center.

Originally Posted by Rinnie

Prove that the perpendicular bisectors of two nonparallel chords that are not diameters intersect at the center of the circle.

I have some of the problem, but I'm having trouble proving it's the center.

The perpendicular bisector of any chord goes through the center of a circle. This problem is stating that you have 2 non-parallel chords that are not diameters. It is NOT saying that the perpendicular bisectors are not diameters. So, ANY perpendicular bisector of any chord on a circle will intersect at the center of the circle.