The rotations about point P that will carry a square onto itself are;
B. 90°
C. 180°
D. 270°
The steps and properties of a square used to find the above rotations that carry a square onto itself are presented as follows;
The diagonals of a square bisect each other forming 90 degree angles (right angles), therefore, a rotation of a multiple of 90 degrees will carry the square onto itself.
The rotations from among the options that will carry a square, rotated about the center point P onto itself are therefore;
90°, 180°, and 270°, which are multiples of 90 degrees
The possible location of the point P obtained from a similar question found through search can be presented as follows;
A square is rotated clockwise about center point P
Select all the rotations about point P that carry a square onto itself
The coordinates of the image of the point (x, y) following a rotation of 180° about the origin