Question

write Converse of the following sentence the perpendicular drawn from the centre of the circle to the chord bisects the chord​

Answer 1

Answer:

The line segment joining the midpoint of a chord and the Centre of a circle is perpendicular.

Answer 2

Answer:

Given :

A chord PQ of a circle C(O,r) and perpendicular OL to the chord PQ.

To Prove :

LP=LQ

Construction :

Join OP and OQ.

Proof :

In triangles PLO and QLO,

OP=OQ=r

OL=OL

∠OLP=∠OLQ

So, by RHS-criterion of congruence,

△PLO≅△QLO

PL=LQ

Hence, proved.

Thus, the given statement is true.

solution