Chapter 11.3, Problem 31IP

To determine

To create: A tessellation for given pattern.

Explanation of Solution

Given information:

  

Tessellation:

  

A repetitive pattern of polygons that fit together with no overlaps or holes is called a tessellation. The sum of the measures of the angles where the vertices meet in a tessellation is ${360}^{\circ }$ .

Steps to create above tessellation:

1. Draw a square. Then draw a rectangle outside the top of the square.
2. Slide the rectangle from the top to the bottom of the square.
3. Draw a triangle outside the right of the square.
4. Slide the triangle from the left to the right of the square.
5. Repeat the pattern unit to create the tessellation.