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Inscribed Angle Theorem, Cyclic Quadrilateral, Alternate Segment Theorem
Updated on Sep, 2026
Teaching and Academics , Math, Geometry
Duration - 2.5 hours
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In this complete online course, learners will explore the intriguing realm of circle theorems and discover the secrets of solving geometry problems. Circles are a basic mathematical concept, and knowledge of their properties and relations is fundamental to being successful in different mathematical fields. By the end of this course, learners will be able to: 1. Know the definition and properties of circles, including centre, radius, diameter, and circumference. 2. Use major circle theorems, including: Inscribed Angle Theorem:
Theorems related to Cyclic Quadrilateral.
Alternate Segment Theorem.
Introduction to Circles (Definition, Properties, and Terminology).
Angle Properties of Circles (Theorems and Applications).
Tangents and Chords (Theorems and Problems).
Cyclic Quadrilaterals (Theorems and Applications).
Angle-Arc Relationship.
Proofs of all theorems.
Relationship between the central angle and arc.
Who this course is for:
The course is for high school students of geometry.
The students will be able to identify inscribed angle and its intercepted arc of a circle.
The students will be able to state Inscribed angle and Thales' Theorems.
The students will be able to state Bow's and Alternate Segment Theorems.
The students will be able to identify a cyclic quadrilateral and the theorems associated with it.
The students will be able to solve questions on angle-arc relationships.
The students should be familiar with some basic triangle theorems (like Isosceles triangle Theorem, Exterior angle Theorem) and some basic circle geometry Theorems(Like radius-tangent line relationship, Length of two tangents of a circle from the same external point of the circle).
The students should be familiar with some basic circle geometry Theorems(Like radius-tangent line relationship, Length of two tangents of a circle from the same external point of the circle).
Check out the detailed breakdown of what’s inside the course
As a passionate mathematics educator, I empower high school students to excel in geometry and beyond. With a background in Mechanical Engineering from the University of Nigeria, Nsukka, I leverage my proficiency in geometry to inspire the next generation.
Teaching Experience:
* 2018-2020: Federal Government College, Nise (alma mater)
*2020-2023: Grundtvig International Secondary School, Oba.
*2023-present: Regina Pacis Model Secondary School, Onitsha.
*Mathematics competition preparation.
*Additional Mathematics teacher(grades 10-12)
* IGCSE, SAT and JAMB exams Tutoring
*Certificate of credit, Australian Mathematics Competition Senior Division(2008)
*Student achieved 3rd best score in JAMB 2022 (Nigeria)
*Author, "Geometry for Secondary Schools"
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