1
AssignmentMultiple Choice

Symmetry

Question 1 • CA-Common Core Geometry DVHS Sem. 1

Do all regular polygons have point symmetry? Explain.

Answer
A
Yes, because all regular polygons have symmetry of order 2.
B
Yes, because all regular polygons have a center of rotation.
C
No, because all regular polygons do not have a line of reflection.
D
No, because all regular polygons do not have rotational symmetry of 180°.

Explanation

Point symmetry means a figure maps onto itself after a 180° rotation about a point. A regular polygon has this symmetry only when its number of sides is even; for example, a regular pentagon does not map onto itself after a half-turn. Therefore, not all regular polygons have point symmetry, so choice D is correct.

AI-written and checked against the verified answer.

Next