The false statement is: All deuterostomes exhibit radial symmetry in their bodies.
For example, phylum Chordata contains animals that don’t have radial symmetry.
Deuterostomes share characteristics such as coelom that forms from folds of archenteron, radial, indeterminate cleavage, anus formed from blastopore.
The major distinctions between these two groups of animals (Bilateria) deuterostomes and protostomes are in their embryonic development. Another difference is that most Protostomes have schizocoelous development (cells fill in the interior of the gastrula and that is the way the mesoderm is formed) On the other side, in Deuterostomes, the mesoderm forms through invagination of the endoderm (enterocoelic pouching).