1. Draw diagonal BD. How will this diagonal relate to the circumscribed circle? Explain your reasoning. 2. Construct the center of the circumscribed circle for quadrilateral ABCD. Label this point O. Explain why your method worked. 3. Construct the circumscribed circle for quadrilateral ABCD. 4. Could we follow this procedure to construct a circumscribed circle for any cyclic quadrilaterals? 5. Explain your reasoning.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.CT: Test
Problem 16CT: For rectangle MNPQ, points A, B, C and D are the midpoints of the sides. aWhat type of quadrilateral...
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Quadrilateral ABCD is a cyclic quadrilateral.
A
1. Draw diagonal BD. How will this diagonal relate to the circumscribed circle? Explain your
reasoning.
2. Construct the center of the circumscribed circle for quadrilateral ABCD. Label this point O.
Explain why your method worked.
3. Construct the circumscribed circle for quadrilateral ABCD.
4. Could we follow this procedure to construct a circumscribed circle for any cyclic quadrilaterals?
5. Explain your reasoning.
Transcribed Image Text:Quadrilateral ABCD is a cyclic quadrilateral. A 1. Draw diagonal BD. How will this diagonal relate to the circumscribed circle? Explain your reasoning. 2. Construct the center of the circumscribed circle for quadrilateral ABCD. Label this point O. Explain why your method worked. 3. Construct the circumscribed circle for quadrilateral ABCD. 4. Could we follow this procedure to construct a circumscribed circle for any cyclic quadrilaterals? 5. Explain your reasoning.
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