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

Question

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

Answer 1

A square will rotate onto itself after a 90-degree or 180-degree rotation.

Answer 2

The statement that best summarizes the rotations that turn a square onto itself is: "A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations."

Answer 3

The correct statement that summarizes the rotations that turn a square onto itself is: "A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations."

To understand why this statement is true, we need to consider the properties of a square and its rotational symmetry.

A square has four equal sides and four right angles. Each side is parallel to the opposite side, and every corner point is equidistant from the center of the square.

When we rotate the square, we have four possible rotation angles: 90 degrees, 180 degrees, 270 degrees, and 360 degrees (a full turn).

A 90-degree rotation involves turning the square one-quarter of a full turn. This rotation preserves the square's shape and position, as all the sides and angles remain unchanged.

A 180-degree rotation involves turning the square halfway around. Again, the square remains the same after this rotation, as all the sides and angles are preserved.

A 270-degree rotation is equivalent to a 90-degree rotation in the opposite direction. This rotation also maintains the square's shape and position.

Lastly, a 360-degree rotation is a complete turn, which brings the square back to its original orientation.

Therefore, when a square undergoes any of these rotations (90 degrees, 180 degrees, 270 degrees, or 360 degrees), it remains unchanged and rotates onto itself.