Question

which statement best summarizes the rotations that turn a square onto itself? (1 point)
a square will rotate onto itself after a 180 - degree rotation
a square will rotate onto itself after a 90 - degree or 180 - degree rotation
a square will rotate onto itself after 90 - degree, 180 - degree, 270 - degree, and 360 - degree rotations
a square will rotate onto itself after a 90 - degree rotation

Explanation:

A square has rotational symmetry of order 4. This means that it can be rotated by 90 - degree increments (90°, 180°, 270°, 360°) about its center and map onto itself. Each 90 - degree rotation aligns the sides and vertices of the square with their original positions in a new orientation.

Answer:

A square will rotate onto itself after 90 - degree, 180 - degree, 270 - degree, and 360 - degree rotations.