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 - Lesson Check - Page 379: 1



Work Step by Step

A square is a parallelogram, so if two consecutive sides are congruent, their opposite sides are also congruent, meaning all sides are congruent. One angle of the quadrilateral is marked as a right angle, so its consecutive angles also must be right angles because consecutive angles in a parallelogram are supplementary. Its opposite angle, which is congruent to it, is also a right angle. Therefore, this quadrilateral has four right angles. This is a diagram of a square, which has all congruent sides and four right angles.
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