The rotational symmetry that apply to the regular pentagon is:
72° rotational symmetry (D)
What is a regular pentagon?
A regular pentagon has rotational symmetries that are multiples of 72° because it has five equal sides and angles.
360°/5 (pentagon =5)
= 72°
Out of the given options:
A 108° rotational symmetry is not applicable since it is not a multiple of 72°.
B 144° rotational symmetry is applicable because it is a multiple of 72° but not the base symmetry of the regular pentagon(144° = 2 * 72°).
C 180° rotational symmetry is not applicable since it is not a multiple of 72°.
D 72° rotational symmetry is applicable because it is the base rotational symmetry of the regular pentagon.
E 36° rotational symmetry is not applicable since it is not a multiple of 72°.
Therefore, the rotational symmetry that apply to the regular pentagon is:
72° rotational symmetry (D)