Chapter 11.5, Problem 19PPS

To determine

To find: whether the tessellation is possible or not with the given regular polygon.

Answer to Problem 19PPS

Yes, the regular quadrilateral tessellation is possible.

Explanation of Solution

Given information:

Consider regular quadrilateral.

Concept used:

Regular tessellation is a pattern made by repeating a regular polygon.

Regular polygon has all equal sides and equal interior angles.

Calculation:

The regular quadrilateral has $4$ equal sides and equal interior angles.

The sum of angles in quadrilateral is $={360}^0$

The measure of each angle is

  $\begin{array}{l}=\frac{360}{4}\\ ={90}^0\end{array}$

The number of polygons can tessellate $=\frac{360}{90}=4$

So, four regular quadrilaterals can tessellate.

Hence,

The regular quadrilateral tessellation is possible.