Question

A square rotated about its center by 360º maps onto itself at different angles of rotation. You can reflect a square onto itself across different lines of reflection.

Answer 1

A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.

Answer 2

Solution:

When a square is rotated by an angle of 360°, at all four places that is when it is rotated by angle of 90° each time, at all four instances it is congruent  to original square.

So, when a square is reflected along a line ,there are four lines through which square looks symmetrical.