hexagon STUVWZ is rotated 180 degrees clockwise about the origin to create hexagon S'T'U'V'W'Z
If hexagon STUVWZ is rotated 180 degrees clockwise about the origin, the resulting hexagon S'T'U'V'W'Z can be obtained by reflecting each vertex of the original hexagon across the x-axis.
Here is the process to obtain the coordinates of each vertex of S'T'U'V'W'Z:
1. Let's assume the coordinates of hexagon STUVWZ are:
S (x_s, y_s)
T (x_t, y_t)
U (x_u, y_u)
V (x_v, y_v)
W (x_w, y_w)
Z (x_z, y_z)
2. Reflect each vertex of the original hexagon across the x-axis. The x-coordinate of each vertex remains the same, while the y-coordinate changes sign. The coordinates of S'T'U'V'W'Z would be:
S' (x_s, -y_s)
T' (x_t, -y_t)
U' (x_u, -y_u)
V' (x_v, -y_v)
W' (x_w, -y_w)
Z' (x_z, -y_z)
The resulting coordinates of hexagon S'T'U'V'W'Z represent the hexagon obtained when hexagon STUVWZ is rotated 180 degrees clockwise about the origin.