Opposite Angles in Cyclic Quadrilaterals

Opposite Angles in Cyclic Quadrilaterals

Investigate how the opposite interior angles of a quadrilateral relate when all its vertices lie on a circle.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

Define, using your own words, what a cyclic quadrilateral is.

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Open-ended question 2

Explain in your own words the property of the cyclic quadrilateral that this interactive illustrates. Compare cyclic quadrilaterals with non-cyclic quadrilaterals.

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Open-ended question 3

Switch to proof mode and navigate through the steps. Explain the properties that justify each of the steps.

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Open-ended question 4

Is there a pattern with the angles that works for any non-cyclic quadrilateral?

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