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 - Concept and Vocabulary Check - Page 635: 11

Answer

A pattern consisting of the repeated use of the same geometric figures to completely cover a plane, leaving no gaps and no overlaps, is called tessellations.

Work Step by Step

A tessellation is a type of art that is used to define a relationship between geometry and the visual arts. Tessellations are created by repeated use of same figures that will leave no gap and no overlaps and thus cover the whole plane. To create a tessellation, the primary requirement is that the sum of the measures of the angles of a regular polygon that are together at each vertex must be\[{{360}^{o}}\]. To determine whether a tessellation can be created or not, use the formula\[\left( n-2 \right)\times {{180}^{{{o}^{^{{}}}}}}\]which computes the sum of the measures of the angle of a regular octagon and then divides it by the sides of an octagon to find the measure of each angle.
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