Question

P is a point outside the circle as shown. MP and NP are the tangents are drawn to the circle from this point. Then $△$OMP $\cong$ $△$ONP.

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• A. True
• B. False

Answer 1

The correct option is A

True

In $△$OMP and $△$ONP,

OM = ON [radius]

OP = OP [common side]

$\angle$OMP = $\angle$ONP [right angle triangle]

So, by R.H.S criterion,

$△$OMP $\cong$ $△$ONP

That is the triangles on either side of OP are congruent.