Is it possible for a figure to have rotational symmetry and no reflectional symmetry? Explain and give examples.

D

Step-by-step explanation:

A.

No. It is not possible. If a figure has reflectional symmetry it must have rotational symmetry. The letters H, O, and X are examples of this.

B.

No. It is not possible. If a figure has reflectional symmetry, it must have point symmetry, which is a special case of rotational symmetry. Since every line of symmetry of a figure passes through the center of the figure, the figure must be symmetric about that point.

C.

No. It is not possible. If a figure has reflectional symmetry, it must have rotational symmetry because a rotation is a composition of two reflections.

D.

Yes. It is possible for a figure to have reflectional symmetry without having rotational symmetry. The letters A, D, and W are examples of this.

the first one, all those points on the line just make a strait line.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.