Question

select all the correct answers
which figures have rotational symmetry?

Explanation:

Rotational symmetry means that when a figure is rotated around a central point by an angle less than \(360^{\circ}\), it looks the same as the original.

• The first figure (trapezoid - like) does not have rotational symmetry.
• The second figure (parallelogram - like) has rotational symmetry of \(180^{\circ}\).
• The third figure (triangle) does not have rotational symmetry (assuming it is a non - equilateral triangle).
• The fourth figure (hexagon) has rotational symmetry. For a regular hexagon, the rotational symmetry angles are \(60^{\circ},120^{\circ},180^{\circ},240^{\circ},300^{\circ}\).
• The fifth figure (cross - like) has rotational symmetry of \(90^{\circ},180^{\circ},270^{\circ}\).

Answer:

Second figure (parallelogram - like), fourth figure (hexagon), fifth figure (cross - like)