Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 302: 22

Answer

Square

Work Step by Step

If the arcs are congruent, this means that the chords are congruent as well. In addition, since the inscribed angle is proportional to the length of the arc, congruent arcs means that the angles in the quadrilateral are equal (90 degrees). A quadrilateral with 90 degree angles and equal sides is a square.
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