Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.3 Polygons, Perimeter, and Tessellations - Exercise Set 10.3 - Page 638: 53

Answer

Square is a two-dimensional figure with four sides of equal length. Every square is a rectangle, a rhombus, a parallelogram, a quadrilateral and a polygon.

Work Step by Step

Square has opposite sides parallel. The diagonals of square intersect each other. A square has it all four angles at right angles. A parallelogram is a special type of polygon with four sides with opposites sides parallel and is of equal length. Also, the opposite angles of a parallelogram are of equal measure. The parallelogram with all four angles at the right angle and all sides are equal in length, it is called a square. The rhombus is a closed figure with four sides in which all sides are equal in length which proves that every square is a rhombus. A rectangle is a closed figure with four sides with all four angles right angles which proves that the square is a rectangle. A regular polygon is a figure in which all the sides are of the same length and all the angles are of same degree measure, which proves that every square is a regular polygon. A quadrilateral is a closed figure with four sides. When a quadrilateral will have four right angles and all sides are of the same length, then it is called a square.
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