November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Construct Parallel and Perpendicular Lines.

It decribes step by step explanation to develop understanding of the construction i.e. how to construct parallel and perpendicular lines. To construct parallel line to a given line through a point not on the line, first you draw a line and identify a point*P* not on the line. Then draw any line through point *P* that meets the given line and construct a congruent angle with vertex *P*. The line formed by new angle is parallel to the given line.
To construct the perpendicular to the line *AB* through the point *P* using compass and straightedge, proceed as follows:

It decribes step by step explanation to develop understanding of the construction i.e. how to construct parallel and perpendicular lines. To construct parallel line to a given line through a point not on the line, first you draw a line and identify a point

- Draw an arc with center at
*P*to intersect the line at two points*A*and*B*using compass, which are equidistant from*P*. - Draw arcs centered at
*A*and*B*, both passing through*P*. Let*C*be the other point of intersection of these two arcs, but on the opposite side of the line. - Connect
*P*and*C*to construct the desired perpendicular*PC*.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

- Mathematics > General
- Mathematics > Geometry
- Education > General

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Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.