Symmetry - Rotation:
Is there Rotational Symmetry of Order 1 ?
Not really! If a shape only matches itself once as you go around (ie it matches itself after one full rotation) there is really no symmetry at all, because the word "Symmetry" comes from syn- together and metron measure, and there can't be "together" if there is just one thing.)
Try giving that as a response to your teacher/professor.