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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.6: Rotations And Symmetry
Problem 1C
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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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