Question

if line AB is a diameter of circle O that bisects chord line CD at point E, which of the following statements is true?

Answer 1

A: The chord is perpendicular to the diameter

Proof:

CE=DE (definition of bisector)

Center O, so OC and OD are radii.

OC=OD.

OE=OE.

OCE=ODE (SSS)

angle OEC = angle OED (corresponding parts)

angle OEC and angle OED are supplementary

So angle OEC and angle OED are both right angles.

CD is perpendicular to OE

CD is perpendicular to AB