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Lesson 11 Practice Problems
Problem Statement
A circle passes through points  ,  , and  . The point  lies inside the circle. Explain why quadrilateral cannot be cyclic.
Solution
Sample response: To be cyclic, there would have to be a circle that passes through points  ,  ,  , and  . In particular, that circle would be the circumscribed circle of triangle    . The circle shown here also circumscribes triangle    , but there is only one such circle, and we can see that it does not pass through  .
Problem Statement
A quadrilateral has the given angle measures. Select all measurements which would give us a cyclic quadrilateral.
A. B. C. D. E.
Solution
["A", "B", "D"]
Problem Statement
Quadrilateral is cyclic with given angle measures in radians.
a. What is the measure of angle  ? b. What is the measure of angle  ?
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