When a chord is bisected by a line then it is perpendicular to that line

When a chord is bisected by a line then it is perpendicular to that line

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concepts of circles, diameters, and chords, focusing on the properties of perpendicular chords and their bisection by diameters. It explains how a diameter bisects a perpendicular chord and how this relates to equal arcs. The tutorial also discusses the converse of this theorem and its applications in solving geometric problems, including using the Pythagorean theorem.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between a diameter and a chord that is perpendicular to it?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the concept of bisection in the context of a diameter and a chord.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if two arcs in a circle are equal?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What can be concluded if two chords are bisected and found to be equal?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the Pythagorean theorem can be applied in problems involving perpendicular chords.

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