Show that if two chords of a circle bisect each other they must be diameters of the circle

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If two chords of a circle bisect each other, then both are diameters of the circle. State True or False.

True

False

Solution

The correct option is B True
Diameters are the only chords of a circle that passes through the centre of a circle and they bisect every other chord inside the circle that they intersect with. If two chords bisect each other, then, both are diameters of the circle.

The chords are of equal length but less than the length of the diameter.

The chords are of unequal length.

The chords should be perpendicular bisectors of each other.

The chords are any two diameters.