Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 311: 24

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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