Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 464: 9


When the midpoints of a rectangle are joined, it forms a rhombus.

Work Step by Step

We assign coordinates for the rectangle: $(0,0); (0,2a); (2b,2a); (2b,0)$ Thus, we find the length of each side: $s_1 = \sqrt{b^2 + a^2}$ $s_2 = \sqrt{b^2 + a^2}$ $s_3 = \sqrt{b^2 + a^2}$ $s_4 = \sqrt{b^2 + a^2}$ The sides are equal lengths, so it is a rhombus.
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.