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In the Case, Given Below, Draw a Line Through Point P and Parallel to Ab: - Mathematics

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Question

In the case, given below, draw a line through point P and parallel to AB:

Diagram

Solution

Steps of construction:
(i) From P draw a line segment meeting at AB 
(ii) With centre Q and some suitable radius draw an arc CD.
(iii) With centre P and the same radius draw another arc meeting PQ at E.

(iv) With centre E and radius equal to CD, 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 AB.

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Construction of a Line Parallel to a Given Line from a Point Outside It .
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Chapter 14: Lines and Angles (Including Construction of angles) - Exercise 14 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (C) | Q 8.3
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