Rotations that carry a regular pentagon onto itself involve turning the figure around a fixed center point, creating different orientations of the pentagon that match its original shape. These rotations occur at specific angles: 72 degrees, 144 degrees, and 216 degrees. By performing one of these rotations, the pentagon can be superimposed onto its initial position.
Rotations that carry a regular pentagon onto itself can be summarized in three steps. First, imagine placing the pentagon on a flat surface. Second, rotate it around its center by 72 degrees. This will bring one of its vertices to the original position. Third, repeat this rotation four more times, always around the center, to bring the remaining vertices back to their original positions, resulting in the pentagon facing the same way as before.
To summarize the rotations that carry a regular pentagon onto itself, we need to understand its properties. A regular pentagon has five equal sides and angles. Rotations of 72 degrees clockwise or counterclockwise around its center will result in the pentagon aligning with its original position. This means there are five possible rotations: one for each vertex.
