Question

since a regular pentagon can make turns less than 360° onto itself it has what kind of symmetry

Answer 1

A regular pentagon has rotational symmetry. This means that it can be rotated around its center by certain angles (such as 72°, 144°, 216°, and 288°) and still appear unchanged or look the same as it did before the rotation. In addition to rotational symmetry, a regular pentagon also has reflective symmetry, as it can be divided into mirror-image halves along lines drawn through its vertices or midpoints of its sides. Together, these symmetries imply that a regular pentagon has a high degree of symmetry, specifically, it belongs to the category of regular polygons.