Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - 6-5 Conditions for Rhombuses, Rectangles, and Squares - Lesson Check - Page 386: 1

Answer

According to theorem 6-18, if the diagonals of a parallelogram are congruent, then that parallelogram is a rectangle. In the diagram, the diagonal $\overline{SO}$ is congruent to the diagonal $\overline{TP}$; therefore, this parallelogram is a rectangle.

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