Question
In the case, given below, draw a line through point $P$ and parallel to $A B:$
✓
Answer
Steps of construction:
(i) From $P$ draw a line segment meeting at $A B$
(ii) With centre $Q$ and some suitable radius draw an arc $C D$.
(iii) With centre $P$ and the same radius draw another arc meeting $P Q$ at $E$.
(iv) With centre $E$ and radius equal to $C D$, cut this arc at $F$
(v) Join PF and produce it to both sides to $L$ and $M$. Then line $LM$ is parallel to given line $A B$.
(i) From $P$ draw a line segment meeting at $A B$
(ii) With centre $Q$ and some suitable radius draw an arc $C D$.
(iii) With centre $P$ and the same radius draw another arc meeting $P Q$ at $E$.
(iv) With centre $E$ and radius equal to $C D$, cut this arc at $F$
(v) Join PF and produce it to both sides to $L$ and $M$. Then line $LM$ is parallel to given line $A B$.
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