What is the symmetry of an insect?

Cockroaches, like many other animals, have reflection symmetry: The right side of a cockroach it's exactly like the left side, except for its direction. In mathematical terms we would say there is a plane dividing the cockroach into two symmetrical parts. Please see the links for more details.

In biological terms, cockroaches have bilateral symmetry. This means they have symmetry across one plane (known as the sagittal plane, and directly down the centre of their body), which means one side of their body approximately mirrors the other side.