Khurram Wadee ✅<p>To construct a <a href="https://mastodon.org.uk/tags/ParallelLine" class="mention hashtag" rel="tag">#<span>ParallelLine</span></a> to a given line (in blue) in 2D <a href="https://mastodon.org.uk/tags/EuclideanSpace" class="mention hashtag" rel="tag">#<span>EuclideanSpace</span></a>, all you need to do is pick two <a href="https://mastodon.org.uk/tags/points" class="mention hashtag" rel="tag">#<span>points</span></a> and draw <a href="https://mastodon.org.uk/tags/circles" class="mention hashtag" rel="tag">#<span>circles</span></a> centred at those points of a specified <a href="https://mastodon.org.uk/tags/radius" class="mention hashtag" rel="tag">#<span>radius</span></a>. Draw a <a href="https://mastodon.org.uk/tags/perpendicular" class="mention hashtag" rel="tag">#<span>perpendicular</span></a> to the line at each point (in red) and then draw a new line passing through the intersection of the perpendicular with the circles and there is the line parallel to the original one. Here is the process shown in <a href="https://mastodon.org.uk/tags/Geogebra" class="mention hashtag" rel="tag">#<span>Geogebra</span></a>.</p><p><a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="tag">#<span>Mathematics</span></a> <a href="https://mastodon.org.uk/tags/Geometry" class="mention hashtag" rel="tag">#<span>Geometry</span></a> <a href="https://mastodon.org.uk/tags/EuclideanGeometry" class="mention hashtag" rel="tag">#<span>EuclideanGeometry</span></a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="tag">#<span>FreeSoftware</span></a></p>