Question

Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of and.

Let them meet at P. Is PA = PB?

Answer 1

(1)Draw any angle whose vertex is O.

(2) With a convenient radius, draw arcs on both rays of this angle while taking O as centre. Let these points be A and B.

(3) Taking O and A as centres and with radius more than half of OA, draw arcs on both sides of OA. Let these be intersecting at C and D. Join CD.

(4) Similarly, we can find the perpendicular bisectorof. These perpendicular bisectorsandwill intersect each other at P.

Now, PA and PB can be measured. These are equal in length.