Question

True or False? If a radius of a circle intersects a chord, then it bisects that

chord.
OA. True
OB. False
SUBMIT

Answer 1

False. A radius of a circle does not necessarily bisect a chord if it intersects it.

Step-by-step explanation:

False. If a radius of a circle intersects a chord, it does not necessarily bisect the chord. The only case when a radius bisects a chord is when the radius is perpendicular to the chord, which means it intersects the chord at its midpoint.

For example, consider a circle with radius AB and chord CD. If the radius AB is perpendicular to the chord CD and intersects it at point E, then it bisects the chord CD into two equal halves, CE and ED.

However, if the radius is not perpendicular to the chord, it will intersect the chord at a point other than the midpoint, and hence, it will not bisect the chord.

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