Reflective Symmetries of Polygons
Determine whether the polygon shown in Fig. 8.73 has reflective symmetry about each of the following lines.
a) Line l b) Line m
a) Examine the reflection of the polygon about line l as seen in Fig. 8.74(a). Notice that other than the vertex labels, the beginning and ending positions of the polygon are identical. Thus, the polygon has reflective symmetry about line l.
b) Examine the reflection of the polygon about line m as seen in Fig. 8.74(b). Notice that the position of the reflected polygon is different from the original position of Figure 8.73 the polygon. Thus, the polygon does not have reflective symmetry about line m.