Learn how to determine the measure of an arc given congruent chords

Learn how to determine the measure of an arc given congruent chords

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of equal chords in a circle and their corresponding arc measures. It highlights that when two chords are equal, their arc measures are also equal. The tutorial further explains that the sum of all central angles and arc measures in a circle is 360 degrees. An equation is set up to solve for an unknown angle X, demonstrating the process of combining like terms and solving linear equations.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What can be concluded about the arc measures of two equal chords?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you derive the equation for the central angles in a circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the sum of arc measures and the total degrees in a circle.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in solving for X in the equation presented?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of X when solving the equation 2X + 114 = 360?

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