that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.

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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Problem 5
Given a convex quadrilateral ABCD, let P be the point of intersection of
the perpendicular bisector of side AB and the perpendicular bisector of
side BC. Similarly, let Q, R and S be the points of intersection of the
perpendicular bisectors of the remaining pairs of adjacent sides. Prove
that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.
Transcribed Image Text:Problem 5 Given a convex quadrilateral ABCD, let P be the point of intersection of the perpendicular bisector of side AB and the perpendicular bisector of side BC. Similarly, let Q, R and S be the points of intersection of the perpendicular bisectors of the remaining pairs of adjacent sides. Prove that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.
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