# Lesson Plan: Perpendicular Bisector of a Chord Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the theory of the perpendicular bisector of a chord from the center of a circle and its converse to solve problems.

#### Objectives

Students will be able to

• understand that the straight line passing through the center of a circle and the midpoint of a chord is perpendicular to this chord and solve problems to find unknown lengths and angles,
• understand that the straight line passing through the center of the circle, which is also perpendicular to a chord, bisects this chord and solve problems to find unknown lengths,
• understand that the perpendicular bisector of any chord in a circle passes through the center of this circle.

#### Prerequisites

Students should already be familiar with

• trigonometric ratios,
• the Pythagorean theorem.

#### Exclusions

Students will not cover

• theories of equal chords,
• theories of parallel chords,
• measures of arcs,
• central angles,
• inscribed angles in a circle,
• tangents of a circle,