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,
  • cyclic quadrilaterals.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.