Illustrative Mathematics - Geometry - Unit 7 - Lesson 4

A quadrilateral ABCD has the given angle measures. Select all measurements which could come from a cyclic quadrilateral.

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G.C.3

G.CO.12

Lin is looking at cyclic quadrilateral ABCD. She says, “I’m not convinced that opposite angles of cyclic quadrilaterals always add up to 180 degrees. For example, in this diagram, suppose we moved point A to a different spot on the circle. Angle BCD would still measure 100 degrees, but now angle BAD would have a different measure, and they wouldn’t add up to 180.” Do you agree with Lin? Explain or show your reasoning

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G.C.3

G.CO.12

In the diagram, the measure of angle ACB is 25 degrees. What is the measure of angle AOB?

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G.C.3

G.CO.12

A circle and line are drawn. How many intersection points are possible? Select all possible answers.

• 0
• 1
• 2
• 3
• 4

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G.C.3

G.CO.12