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Question

Draw a right angle andconstruct its bisector.

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Solution

The below given stepswill be followed to construct a right angle and its bisector.

(1) Draw a line l and mark a point P on it. Draw an arc ofconvenient radius, while taking point P as centre. Let it intersectline l at R.

(2) Taking R as centre and with the same radius as before, draw anarc intersecting the previously drawn arc at S.

(3) Taking S as centre and with the same radius as before, draw anarc intersecting the arc at T (see figure).

(4) Taking S and T as centres, draw arcs of same radius to intersecteach other at U.

(5) Join PU. PU is the required ray making 90º with line l.Let it intersect the major arc at point V.

(6) Now, taking R and V as centres, draw arcs with radius more thanRVto intersect each other at W. Join PW.

PW is the required bisector of this right angle.


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