Lesson Plan: Perpendicular Bisector of a Chord Mathematics • Third Year of Preparatory School
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,
- cyclic quadrilaterals.
