CIRCLE THEOREMS
Inscribed Angle Theorem, Cyclic Quadrilateral, Alternate Segment Theorem
Updated on Jun, 2025
Language - English
Teaching and Academics ,Math,Geometry
Lectures -7
Duration -2.5 hours
Lifetime Access
Lifetime Access
30-days Money-Back Guarantee
Get your team access to 10000+ top Tutorials Point courses anytime, anywhere.
Course Description
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 center, radius, diameter, and circumference.
2. Use major circle theorems, including:
Inscribed Angle Theorem:
-Thale's Theorem
-Bow's Theorem
-Theorems related to Cyclic Quadrilateral
-Alternate Segment Theorem
-Relationship between the central angle and arc
Course Content:
-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
Who this course is for:
The course is for high school students of geometry
Goals
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 Thale's 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 Theorems associated with it.
The students will be able to solve questions on angle-arc relationships.
Prerequisites
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)
Curriculum
Check out the detailed breakdown of what’s inside the course
Introduction
1 Lectures
-
Introduction 1
21:46
21:46
Inscribed Angle Theorem
1 Lectures
Bow's Theorem
1 Lectures
Cyclic Quadrilateral Theorems
1 Lectures
Alternate Segment Theorem
1 Lectures
Angle-Arc Relationship 1
1 Lectures
Angle-Arc Relationship 2
1 Lectures
Instructor Details
Ebuka Ojiakor
Just Solve ItAs 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.
Additional Roles:
*Mathematics competition preparation.
*Additional Mathematics teacher(grades 10-12)
* IGCSE, SAT and JAMB exams Tutoring
Achievements:
*Certificate of credit, Australian Mathematics Competition Senior Division(2008)
*Student achieved 3rd best score in JAMB 2022 (Nigeria)
*Author, "Geometry for Secondary Schools"
Course Certificate
Use your certificate to make a career change or to advance in your current career.
Our students work
with the Best
Related Video Courses
View MoreAnnual Membership
Become a valued member of Tutorials Point and enjoy unlimited access to our vast library of top-rated Video Courses
Subscribe now
Online Certifications
Master prominent technologies at full length and become a valued certified professional.
Explore Now