Final answer:
Radial symmetry is when an animal's body parts are arranged around a central axis, asymmetry means there's no symmetry, and bilateral symmetry involves distinct left and right halves. Examples include sea anemones (radial symmetry), sponges (asymmetry), and goats (bilateral symmetry).
Step-by-step explanation:
An animal has radial symmetry when its body is organized around the sensor like spokes on a wheel. An animal has asymmetry when its body lacks symmetry. An animal has bilateral symmetry when its body is distinct left and right halves that mirror each other.
Radial symmetry is characterized by a body plan where any plane cut along an animal's longitudinal axis results in mirror-image halves, such as a sea anemone. On the other hand, asymmetry occurs in animals without a definite pattern or symmetry, like the sponge. Lastly, bilateral symmetry refers to a body plan where a single plane can divide an animal into equivalent left and right halves, which is common in many land-based and aquatic animals, allowing for high mobility and specialized structures on each side of the body, such as in goats or butterflies.