Construct parallel and perpendicular lines using a straightedge and compass use step by step explanations and feedback to develop understanding of the construction. This page shows how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler it is called the angle copy method because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles it uses this in reverse by creating two equal corresponding angles it can create . Connect these 3 points and now you have 2 parallel lines the original line and the most recently made are parallel with each other this is because you formed 2 perpendicular lines which are 90 degrees each the 90 degrees x2 equals 180 degrees therefore producing parallel lines. Did you know that we can draw perpendicular lines using just a straightedge and a compass without a set square in that case we say that we construct perpendicular lines to learn how to do it
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