Question

do you understand? 1. essential question how can you tell whether a figure is symmetric?

Explanation:

A figure is symmetric if there is a line (for reflection symmetry) or a center (for rotational symmetry) such that when the figure is reflected over the line or rotated around the center, it maps onto itself. For reflection symmetry, check if there exists a line where one - half of the figure is the mirror image of the other half. For rotational symmetry, check if rotating the figure by an angle less than \(360^{\circ}\) (e.g., \(180^{\circ}, 120^{\circ}, 90^{\circ}\) etc.) around a point results in the same figure.

Answer:

A figure is symmetric if there is a line (reflection symmetry) or a center (rotational symmetry) such that the figure maps onto itself when reflected over the line or rotated around the center.