Question

Lucia draws a square and plots the center of a square. She claims that any rotation about the center of the square that is multiple of 45° will caryy the square onto itself.

Answer 1

1) Considering that the rotation angle about the center of the square that rotates it onto itself is 90º.

2) Then examining the options we can state:

Lucia's claim is incorrect since not all rotations that are multiple of 45º carry a square onto itself

Because, for example, a rotation of 135