Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-4 Properties of Rhombuses, Rectangles, and Squares - Practice and Problem-Solving Exercises - Page 382: 55

Answer

$D$

Work Step by Step

Option A is true for all rectangles because all rectangles are parallelograms, and the definition of a parallelogram is a quadrilateral that has parallel opposite sides. Option B is true for all rectangles because all rectangles are parallelograms because opposite sides are parallel. Option C is true for all rectangles because the definition of a rectangle is a parallelogram that has four right angles. Option D is not true for all rectangles. Only rectangles that are squares have four congruent sides whereas for other rectangles, only opposite sides are congruent.
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