Lesson: Geometric Constructions: Perpendicular Lines Mathematics

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In this lesson, we will learn how to construct, using a ruler and a pair of compasses, the perpendicular to a given line from or at a given point and the perpendicular bisector of a line segment.

Lesson Plan

Students will be able to

construct the perpendicular to a line from a given point not on the line,
construct the perpendicular to a line at a given point on the line,
construct the perpendicular bisector of a line segment,
understand that any point on the perpendicular bisector of a line segment is equidistant to the segment ends,
understand that the perpendicular bisector of a line segment is its axis of symmetry,
understand that the shortest distance from a point to a line is measured on the perpendicular from this point to the line.