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Lesson Plan: Properties of Cyclic Quadrilaterals Mathematics • Third Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use cyclic quadrilateral properties to find missing angles and identify whether a quadrilateral is cyclic or not.
Objectives
Students will be able to
- identify the supplementary angles in a cyclic quadrilateral,
- use the supplementary angles in a cyclic quadrilateral to solve problems including equations,
- solve problems using the equality of the measure of an exterior angle of a cyclic quadrilateral and the measure of the interior angle at the opposite vertex,
- identify when a quadrilateral is cyclic using the summation of two opposite angles,
- identify when a quadrilateral is cyclic using the equality of the measure of an exterior angle and the measure of the interior angle at the opposite vertex.
Prerequisites
Students should already be familiar with
- central angles in a circle,
- inscribed angles in a circle,
- parallel chords in a circle,
- parallel tangents to chords in a circle,
- solving linear equations.
Exclusions
Students will not cover
- tangents of a circle.
