Question

The line containing points E and G is a diameter. It ______ chord DF.Answer choice:A)never crossesB)intersects the endpoint ofC)runs parallel toD)bisects

Answer 1

Solution:

Concept:

If a diameter of a circle bisects a chord, then it must be perpendicular to the chord. If a diameter of a circle is perpendicular to a chord, then it bisects the chord. If two chords are congruent, then the center is equidistant from the two chords.

$diameter=line\text{ }connecting\text{ }E\text{ }and\text{ }G$

The chord given in the question is

$chord=DF$

Hence,

The final answer is

It BISECTS chord DF

OPTION D is the right answer