Final answer:
The regular octagon exhibits vertical and rotational symmetry.
Step-by-step explanation:
The regular octagon below exhibits both vertical symmetry and rotational symmetry.
Vertical symmetry is when a shape can be divided into two equal halves by a vertical line. In the case of the regular octagon, you can draw a vertical line through its center that divides it into two mirror-image halves. This means it has vertical symmetry.
Rotational symmetry refers to the ability of a shape to be rotated around a central point and still look the same. A regular octagon has rotational symmetry because you can rotate it by 45 degrees, 90 degrees, 135 degrees, and so on, and it will still look the same.