Let ABCD be a convex quadrilateral, and let M be the intersection of its diagonals AC and BD. Suppose the sides BA and CD, when extended, intersect, say at H. Then ABCD is cyclic if and only if any one of the following conditions holds: 1.

Let ABCD be a convex quadrilateral, and let M be the intersection of its diagonals AC and BD. Suppose the sides BA and CD, when extended, intersect, say at H. Then ABCD is cyclic if and only if any one of the following conditions holds: 1.

Name: Let ABCD be a convex quadrilateral, and let M be the intersection ofi
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Description: Let ABCD be a convex quadrilateral, and let M be the intersection ofits diagonals AC and BD. Suppose the sides BA and CD, whenextended, intersect,say at H. Then ABCD is cyclic if and only if any one ofthe following conditions holds:1.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Let ABCD be a convex quadrilateral, and let M be the intersection of
its diagonals AC and BD. Suppose the sides BA and CD, when
extended, intersect,
say at H. Then ABCD is cyclic if and only if any one of
the following conditions holds:
1. <BAC = <BDC.
2. A + C= 180° (i.e., <DAB + <DCB= 180•).
3. <HDA = <HBC.

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