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Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA equals OB. Draw the perpendicular bisectors of OA and OB . Let them meet at P. Is PA equals PB?

Q9.    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 \overline{OA} and \overline{OB}. Let them meet at P. Is PA = PB ?

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The steps of constructions are:

(i) Draw any angle with vertex O.

(ii) Take a point A on one of its arms and B on another such that

(iii) Draw perpendicular bisector of \bar{OA} and \bar{OB}.

(iv) Let them meet at P. Join PA and PB.

With the help of divider, we obtained  that \bar{PA} = \bar{PB}.

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