Question
Draw a right angle and construct its bisector.
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Answer
The below given steps will 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 of convenient radius, while taking point $P$ as centre. Let it intersect line $l$ at $R.$
$2.$Taking $ R$ as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at $S.$
$3.$Taking $S$ as centre and with the same radius as before, draw an arc intersecting the arc at $T ($see figure$).$
$4.$Taking $S$ and $T$ as centres, draw arcs of same radius to intersect each other at $U.$
$5.$Join $PU$. $PU$ is the required ray making $90^\circ $ 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 than $\frac{1}{2}RV$ to intersect each other at $W.$ Join $PW.$
$PW$ is the required bisector of this right angle.
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