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Unit 8: Properties of Circles

19.1 - Central Angles and Inscribed Angles

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ESSENTIAL QUESTION: How can you determine the measure of inscribed angles and central angles of a circle?

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You will work in partners - each to complete answer page.

You will work through 20 questions at your own pace.

You will have 30 minutes.

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Go to peardeck.com/join

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Unit 8: Properties of Circles

19.2 - Angles in Inscribed Quadrilaterals

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ESSENTIAL QUESTION: What can you conclude about the angles of a quadrilateral inscribed in a circle?

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QUADRILATERALS

What do we know about quadrilaterals?

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  • 4-sided polygons

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  • 4 angles add up to 360°

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Inscribed Quadrilateral

Quadrilateral that is drawn inside circle and all 4 points touch ON the circle’s edge

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Inscribed Quadrilateral Theorem

If a quadrilateral is inscribed in a circle, then its OPPOSITE angles are SUPPLEMENTARY.

m∠A + m∠C = 180

m∠B + m∠D = 180

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Find the value of y.

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Find the value of x.

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Find the value each angle.

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If quad ABCD can be inscribed in a circle….

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...find the value of x.

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....find the value of z.