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 6.3 - Line and Segment Relationships in the Circle - Exercises - Page 306: 51

Answer

a) Kite b) Kite c) Isosceles Trapezoid

Work Step by Step

a) Since two sides are the radii and two sides are the tangent lines, there are two pairs of equal length sides for the quadrilateral. Thus, it is a kite. b) Since two sides are the radii and two sides are the tangent lines, there are two pairs of equal length sides for the quadrilateral. Thus, it is a kite. c) We see this is a trapezoid. Since AD and CB are equal and corresponding angles are congruent, it is an isosceles trapezoid.
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