Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 464: 2

Answer

For parallelograms, opposite sides have equal lengths.

Work Step by Step

We place the parallelogram at the origin. We call its coordinates: $A: 0,0 \\ B: b,c \\ C: a+b, c \\ D: a, 0$ Thus, we compare the lengths of opposite sides: $l_1= a $ $l_2=a+b-b =a$ $l_3 = \sqrt{c^2 + b^2}$ $l_4 = \sqrt{b^2 +c^2}$ We see that the lengths of opposite sides are equal.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.