Circle Theorems: An Introduction

Circle Theorems: An Introduction

Assessment

Interactive Video

Mathematics

10th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

This video tutorial demystifies theorems related to circles by explaining basic concepts and proving several theorems. It covers theorems about equal chords, their converse, perpendicular bisectors, and the unique circle passing through three non-collinear points. The session emphasizes understanding congruence criteria like SSS, ASA, and RHS to prove these theorems. The tutorial encourages viewers to pause and review as needed, ensuring a smooth learning experience.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are theorems and why do people often find them difficult to understand?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

List the basic concepts and terms related to circles mentioned in the session.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to prove two triangles congruent using the information provided.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the SSS test of congruence in proving triangles congruent?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the converse of the theorem regarding angles subtended by chords at the center of a circle.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when it is stated that the perpendicular from the center of the circle bisects the chord?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How can we prove that a line drawn through the center of the circle to bisect a chord is perpendicular to the chord?

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