Chapter 14.8, Problem 25WE

a.

To determine

To state the position of symmetry points.

Answer to Problem 25WE

The symmetry points are at the middle points of the sides of quadrilateral.

Explanation of Solution

Given information:

The tessellation has many symmetry points but not at the vertices of quadrilateral.

The symmetry points are at the middle points of the sides of quadrilateral. It can be better understand by taking any two adjacent quadrilateral and taking middle point of the common side of the two quadrilateral as the point of symmetry you will observe that after each half turn the figure maps onto itself.

b.

To determine

To state the type of symmetry of the mosaic.

Answer to Problem 25WE

The mosaic has translational symmetry.

Explanation of Solution

Given information:

The given mosaic has symmetry.

The mosaic has translational symmetry.In the mosaic the quadrilaterals are congruent but placed in two different orientation and each quadrilateral repeats after a fixed distance both vertically and horizontally. Hence, the mosaic has translational symmetry.