Answer
It appears that a rhombus is inscribed.
Work Step by Step
I made a diagram and used intuition, as requested in the problem.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 237: 39
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