Does a right triangle have rotational symmetry?

Answer 1

Well, honey, a right triangle does not have rotational symmetry because if you try to rotate it by any angle other than 90 degrees, it won't look the same. So, unless you're planning on spinning that triangle like a disco ball at a 70s party, you won't find any rotational symmetry there.

Answer 2

The modern answer is that if the shape only fits once onto the original when rotated 360o it has no rotational symmetry.

A right triangle only fits once when rotated 360o so it has no rotational symmetry.