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.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 37E: Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the...
icon
Related questions
Topic Video
Question

How to do this question

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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning