Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 299: 41

Answer

If a trapezoid is inscribed in a circle, each of its base angles will correspond to congruent arcs. Since the inscribed angles are equal to half of the length of the corresponding arcs, this means that the two base angles are congruent. When the two base angles are congruent, the trapezoid is isosceles, so this trapezoid is isosceles.
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