Chapter 14.8, Problem 18WE

a.

To determine

To describe that an octopus has one symmetry.

Answer to Problem 18WE

The octopus has only one symmetry. And the type of symmetry is line symmetry.

Explanation of Solution

Given information:

The given statement is that an octopus has one symmetry.

The octopus has only one symmetry. And the type of symmetry is line symmetry. If you take vertical line between the eyes of the octopus, the body of the octopus divides into two equal parts but the vertical line must be perpendicular to the imaginary straight line connecting the eyes of octopus horizontally.

b.

To determine

To describe that if you disregard the eyes and mouth of octopus it has many symmetry.

Answer to Problem 18WE

The mosaic has translational symmetry.

Explanation of Solution

Given information:

Thegiven statement is that if you disregard the eyes and mouth of octopus it has many symmetry.

If you disregard the eyes and mouth of an octopus you will observe a great regularity in the shape of an octopus. It can have a large number of line symmetry through lines passing through the centre of top of the head of an octopus. In addition to line symmetries you can also observe rotational symmetries because the wings of octopus are almost similar.