Circle Theorems

Inscribed Angle Theorem, Cyclic Quadrilateral, Alternate Segment Theorem

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.

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 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 arcCourse 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 theoremLearning 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 minutesLevel: IntermediatePrerequisites: Basic understanding of geometry and algebra.Enrol now and master the art of circle theorems!

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Inscribed Angle Theorem

Lecture 2 Inscribed Angle and Thale's Theorems

Section 3: Bow's Theorem

Lecture 3 Bow's Theorem

Section 4: Cyclic Quadrilateral Theorems

Lecture 4 Cyclic quadrilateral Theorems

Section 5: Alternate Segment Theorem

Lecture 5 Alternate Segment Theorem

Section 6: Angle-Arc Relationship 1

Lecture 6 Angle made by two chords in a circle

Section 7: Angle-Arc Relationship 2

Lecture 7 Angle made by two secant lines outside the circle

The course is for high school students of geometry