Find Measures of Inscribed Angles Using Central Angles

Find Measures of Inscribed Angles Using Central Angles

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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This video tutorial explains the central angle theorem, which states that the measure of an inscribed angle is half of the measure of the central angle. It covers three cases of the theorem, demonstrating how to calculate inscribed angles using isosceles triangles and supplementary angles. The video also clarifies the difference between arc major and arc length, and concludes with an example calculation of an inscribed angle from a given central angle.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is an inscribed angle and how is it formed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Can you explain the concept of arc length and how it differs from arc measure?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the measure of an inscribed angle using the central angle theorem?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of proving the relationship between the inscribed angle and the central angle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between inscribed angles and central angles according to the central angle theorem.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the isosceles triangle in the context of inscribed angles?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the measure of an inscribed angle when the central angle is 150 degrees?

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