Track / Stage 4 / 21 of 340 #281 of 2000

[ Constructing with a Right Angle ]

Using a right angle, draw a line through the given point $A$ that is parallel to the given line $l$.

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This one wants a proof. Work it on paper, read the official solution, then mark yourself honestly — the ladder only means something if the record is true.

I solved it I didn't Skip

Official solution

First, construct an arbitrary line $l_{1}$ perpendicular to line $l$, and then through point $A$ draw a line perpendicular to line $l_{1}$.

Task

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.