Answer
(a) and (e) label the same point
(b) and (g) label the same point
(c) and (h) label the same point
(d) and (f) label the same point
Work Step by Step
Convert to rectangular coordinates, $(x,y)=(r\cos\theta,r\sin\theta).$
$\left[\begin{array}{rrrrrrrrr}
& r & \theta & x=r\cos\theta & y=r\sin\theta & (x,y)\\
& & & & & \\
a. & 3 & 0 & 3 & 0 & (3,0)\\
b. & -3 & 0 & -3 & 0 & (-3,0)\\
c. & 2 & 2\pi/3 & -1 & \sqrt{3}/2 & (-1,\sqrt{3}/2)\\
d. & 2 & 7\pi/3 & 1 & \sqrt{3}/2 & (1,\sqrt{3}/2)\\
e. & -3 & \pi & 3 & 0 & (3,0)\\
f. & 2 & \pi/3 & 1 & \sqrt{3}/2 & (1,\sqrt{3}/2)\\
g. & -3 & 2\pi & -3 & 0 & (-3,0)\\
h. & -2 & -\pi/3 & -1 & \sqrt{3}/2 & (-1,\sqrt{3}/2)
\end{array}\right]$
The pairs labeling the same point:
(a) and (e) label the same point
(b) and (g) label the same point
(c) and (h) label the same point
(d) and (f) label the same point
