Elementary Geometry for College Students (5th Edition)

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

Chapter 10 - Section 10.2 - Graphs of Linear Equations and Slope - Exercises - Page 465: 37

Answer

VRST is an isosceles trapezoid.

Work Step by Step

To be isosceles, this trapezoid must have VR equal TS. Thus, we use the distance formula: $TS = \sqrt{(c-d-c)^2 + (e-b)^2 }= \sqrt{(d)^2 + (e-b)^2 }$ $VR = \sqrt{(a-a+d)^2 + (e-b)^2 } =\sqrt{(d)^2 + (e-b)^2 }$ These values are the same, so the trapezoid is isosceles.
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