Questions: Determine if the figure below has point symmetry, line symmetry, both, or neither.

Solution Steps

A figure has point symmetry if it can be rotated 180 degrees about a point and the resulting figure is identical to the original figure. In this case, if we rotate the figure 180 degrees about the center point where the two lines intersect, we obtain the same figure. Thus, the figure has point symmetry.

A figure has line symmetry if it can be reflected across a line and the resulting figure is identical to the original figure. In this case, if we reflect the figure across the vertical line passing through the center point or the horizontal line passing through the center point, we do not obtain the same figure. However, if we reflect the figure across the two diagonal lines of the "X", we do obtain the same figure. Thus, the figure has line symmetry.

The figure has both point symmetry and line symmetry.

Final Answer