# Lesson Plan: Geometric Constructions: Perpendicular Lines Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students 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.

#### Objectives

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.

#### Prerequisites

Students should already be familiar with

• lines, line segments, right angles,
• constructing triangles.

#### Exclusions

Students will not cover

• drawing parallel lines and congruent angles.