Question

7. Does any rectangle rotate onto itself in less than a half-turn?

Answer 1

I  believe so because a full turn is 360 degrees correct so a half turn would be 180 and if you turn the rectangle 90 degrees twice it will be the cover the original rectangle but it would take the full half turn. so it depends on what the want if they mean less and it cant be 180 than the answer is no but if it can be on the half way marker it should be yes

Answer 2

Sure.  If the rectangle is a square, then
it rotates onto itself in only 1/4 turn.