A square has rotational symmetry because it can be rotated 180 degrees so that its image matches the original. Your friend says the angle of rotation is 180 divided by 4 = 45 degrees. What is wrong with this statement?
Why is the friend dividing by 4? To match the original, each rotation must be a minimum of 90º.
The statement made by your friend is incorrect because a square actually has rotational symmetry of 90 degrees, not 45 degrees. Rotational symmetry refers to the ability of a shape to be rotated by a certain angle and still appear unchanged. In the case of a square, it can be rotated by 90 degrees and still look the same.
The statement made by your friend is incorrect. The angle of rotation for a square to have rotational symmetry is actually 90 degrees, not 45 degrees.
To understand why the angle of rotation is 90 degrees, we need to consider the definition of rotational symmetry. Rotational symmetry occurs when a figure can be rotated by a certain angle and still look the same. In the case of a square, it has rotational symmetry because it can be rotated by 90 degrees and still appear identical to the original square.
To confirm this, you can try rotating a square by 90 degrees using any graphic software, or you can take a physical square object and visually observe its rotational symmetry. You will notice that after each 90-degree rotation, the square aligns perfectly with the original shape.
So, in conclusion, your friend made a mistake by suggesting that the angle of rotation for a square's rotational symmetry is 45 degrees. The correct angle of rotation for rotational symmetry in a square is 90 degrees.