Draw a point M outside a given line PQ, draw a line LMN parallel to PQ,using ruler and compass only.
Answers
Given : line PQ
a point M outside
To Find : draw a line LMN parallel to PQ, using ruler and compass only.
Solution:
Step 1: Draw a line PQ using ruler
Step 2 : Mark a point M outside line PQ
Step 3 : Using Suitable compass width and taking M as center draw arc intersecting line PQ at X & Y
Step 4 : Using Suitable compass width and taking X as center draw an arc ( not passing through M )
Step 5 : Keeping compass width Same and taking Y as center draw an arc intersecting arc drawn in previous step at Z
Step 6 : draw a line passing through MZ
Step 7 : using suitable compass width and taking M as center draw a semicircle intersecting MZ at A & B
Step 8 : Using suitable compass width and taking A & B as center draw intersecting arc at C
Step 9 : Draw a line LN passing through M & C
LMN || PQ
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Answer:
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Step-by-step explanation: