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CIRCLE THEOREMS
Rating: 4.6 out of 5(21 ratings)
53 students

CIRCLE THEOREMS

Inscribed Angle Theorem, Cyclic Quadrilateral, Alternate Segment Theorem
Created byEbuka Ojiakor
Last updated 3/2025
English
English [Auto],

What you'll learn

  • 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.

Explore related topics

Course content

6 sections • 7 lectures • 1h 49m total length

  • Introduction5:02

    Master circle theorems by identifying inscribed angles and intercepted arcs, stating and proving Thales, cyclic quadrilateral, and alternate segment theorems, and understanding key angle relationships.

Requirements

  • 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)

Description

In this comprehensive online course, students will delve into the fascinating world of circle theorems, unlocking the secrets of geometric problem-solving. Circles are a fundamental concept in mathematics, and understanding their properties and relationships is crucial for success in various mathematical disciplines.

Upon completing this course, students will be able to:

1. Understand the definition and properties of circles, including center, radius, diameter, and circumference.

2. Apply key circle theorems, such as:

- Inscribed Angle Theorem

- Thale's Theorem

- Bow's Theorem

-Theorems involving Cyclic Quadrilateral

- Alternate Segment Theorem

-Relationship connecting 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 each theorem


Learning Outcomes:


- Enhanced problem-solving skills in geometry and mathematics.

- Improved spatial reasoning and visualization.

- Increased confidence in tackling complex geometric problems.

- Developed understanding of mathematical proof and reasoning.


Target Audience:

- Parents or guardians looking to purchase a mathematics course for their children.

- Educators seeking professional development.

-Mathematics teachers.


Course Features:


- Video lectures.

- Downloadable resources (PDF notes, practice problems).

- Access to instructor support.


Duration: 2 hours 24 minutes


Level: Intermediate


Prerequisites: Basic understanding of geometry and algebra.


Enrol now and master the art of circle theorems!

Who this course is for:

  • The course is for high school students of geometry

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