Type:Interactive, Lesson Plan
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:
- 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.
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- Mathematics > Geometry
- Education > General
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Keywords:angle vertex parallel arc center line radius perpendicular construct point geoemtry congurent solution geometry tutorials solution math help quizzes
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