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

The number of sides of a square is 4. So 4

Answer 2

Answer with explanation:

When a Square is rotated through a complete revolution of 360°, each time by an angle of 90°, 4 times it looks congruent to it's original image.So

Rotational symmetry of Square =4

Now, coming to Line of reflection

The Meaning of line of reflection is that, the line through which square is divided into two equal parts so that one half appear mirror image of another half.

There are four line of reflection of Square

⇒⇒Two Diagonals and two lines through mid point of side of Square.

So,You can reflect a square onto itself across different lines of reflection through 4 ways.