2. Select the correct answer. A regular octagon rotates \( 360^{\circ} \) about its center. How many times does the image of the octagon coincide with the preimage during the rotation? B. 1 C. 2 D. 8

To determine how many times the image of the octagon coincides with the preimage during a full rotation of \(360^{\circ}\), we need to consider the symmetry of the octagon. A regular octagon has 8 sides, and it will coincide with its preimage at each of its vertices during a full rotation. Since there are 8 vertices, the image will coincide with the preimage 8 times during the rotation. Therefore, the correct answer is: D. 8