Question
Draw a line segment $PQ$ of length $12\ cm.$ Mark a point $O$ outside this segment. Draw a line through $O$ perpendicular to $PQ.$
✓
Answer
Draw a line $L$ and take a point $P$ on it. Using a ruler and a compass, mark a point $Q$ on the line $L,$ where $PQ = 12\ cm.$ Mark a point $Q$ outside $PQ.$ Now, with $O$ as centre, draw an arc of appropriate radius such that the arc cuts the line at points $A$ and $B.$ Taking $A$ and $B$ as centres, construct two arcs such that they intersect each other at $C.$ Join $OC. OC$ is the required line, which is perpendicular to $PQ.$
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