Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - Common Core Cumulative Standards Review - Selected Response - Page 484: 1



Work Step by Step

Option I. The figure is not a square. A square is a special kind of parallelogram that has equal sides and four right angles. This figure has opposite sides parallel and four right angles, but the sides are not marked as congruent. Option II. The figure could be a rectangle. A rectangle is a parallelogram that has four right angles. The figure is a rectangle because it has two sets of parallel sides and four right angles. Option III. The figure is not a rhombus. A rhombus is a parallelogram that has four congruent sides. Opposite sides in the figure are marked as parallel, so it is a parallelogram; however, the sides of this figure are not marked as congruent, which means we cannot conclude that this figure is a rhombus. Option IV. This figure is a parallelogram. A parallelogram has opposite sides that are marked as parallel. The figure pictured has parallel opposite sides; therefore, the figure is a parallelogram. The answer is option $C$ because both II and IV are correct.
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