Question

determine if the figure has line, point, and/or rotational symmetry. check all that apply.
line symmetry
point symmetry
rotational symmetry
none of the above

Explanation:

Step1: Analyze Line Symmetry

A figure has line symmetry if there's a line that divides it into two mirror - image halves. Looking at the given figure, we can't find such a line. So it doesn't have line symmetry.

Step2: Analyze Point Symmetry

Point symmetry means that for every point in the figure, there is a corresponding point such that the center point is the mid - point between them. This figure does not satisfy the condition for point symmetry.

Step3: Analyze Rotational Symmetry

Rotational symmetry exists if the figure can be rotated by an angle (less than \(360^{\circ}\)) about a center point and map onto itself. This figure can be rotated by \(120^{\circ}\) (or a multiple of \(120^{\circ}\)) about its center and coincide with its original position. So it has rotational symmetry.

Answer:

Rotational Symmetry