Question

which graphs have rotational symmetry? check all of the boxes that app

Explanation:

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

• The first graph (a curve): If we rotate it \(180^{\circ}\) around the origin (the center of the coordinate - system), it will map onto itself.
• The second graph (a 'V' - shaped graph): If we rotate it \(180^{\circ}\) around the vertex (the point of the 'V'), it will not map onto itself.
• The third graph (an oval - like shape): If we rotate it \(180^{\circ}\) around its center (the mid - point of the major and minor axes), it will map onto itself.

Answer:

The first and the third graphs.