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:

1. 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 try to find such a line. If we imagine drawing a line through the center and between two of the "arrows" or through an arrow and the opposite indentation, we can see that the figure can be reflected over that line and match itself. So it has line symmetry.
2. Point Symmetry: Point symmetry means that if we rotate the figure 180 degrees around a central point, it maps onto itself. For this figure, when we rotate it 180 degrees, the arrows and the indentations will align with their opposite counterparts, so it has point symmetry.
3. Rotational Symmetry: Rotational symmetry exists if the figure can be rotated by an angle (less than 360 degrees) around a center and map onto itself. The figure has a rotational symmetry of order 8 (since it looks like an 8 - pointed star - like figure with arrows and indentations). Rotating it by $\frac{360^{\circ}}{8}=45^{\circ}$ will make it match its original position. So it has rotational symmetry.

Answer:

• Line Symmetry
• Point Symmetry
• Rotational Symmetry