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: 38

Answer

It is a parallelogram.

Work Step by Step

We must prove that all lines are parallel to the lines opposite to them. From observation, we can see: $m_1= 0$ We find the other slopes using the slope formula: $m_2 = \frac{c-c}{a+b-a} =0$ $m_3 = \frac{c-0}{b-0} =c/b$ $m_4 = \frac{c-0}{a+b-a} =c/b$ Since slopes one and two are equal and slopes three and four are equal, it is a parallelogram.
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