Question

what type of symmetry does a rectangle have?
reflectional but not rotational symmetry
rotational but not reflectional symmetry
both reflectional and rotational
a rectangle is not symmetric

Explanation:

To determine the symmetry of a rectangle:

• Reflectional Symmetry: A rectangle has two lines of reflection (vertical and horizontal through the midpoints of opposite sides), so it is reflectionally symmetric.
• Rotational Symmetry: A rectangle can be rotated by \(180^\circ\) about its center and map onto itself, so it is rotationally symmetric (order 2).

Thus, a rectangle has both reflectional and rotational symmetry.

Answer:

C. Both reflectional and rotational