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Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyclic quadrilaterals always add up to 180 legrees. 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, nd they wouldn't add up to 180." 1. Do you agree with Lin? 2. Explain or show your reasoning. 100 80° A B

Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyclic quadrilaterals always add up to 180 legrees. 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, nd they wouldn't add up to 180." 1. Do you agree with Lin? 2. Explain or show your reasoning. 100 80° A B

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 45E
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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." 1. Do you agree with Lin? 2. Explain or show your reasoning. D 100 80° A B
Transcribed Image Text: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." 1. Do you agree with Lin? 2. Explain or show your reasoning. D 100 80° A B
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