Answer
Please see below.
Work Step by Step
To plot the point $(r, \theta )=(2, 270^{\circ })$, begin with the $270^{\circ }$ angle. Because $270^{\circ }$ is a positive angle, draw $\theta = 270^{\circ }$ counterclockwise from the polar axis. Now consider $r=2$. Because $r \gt 0$, plot the point by going out two units on the terminal side of $\theta$.
