Pre calc. question regarding terminal arms and rotations

Question

The point (4, 8) lies on the terminal arm of an angle of rotation. Name the point in each of the other quadrants which has the same reference angle.

Answer 1

Plot the point including the terminal side of the angle going through that point (shown in blue). That terminal side make an acute angle with the x-axis that I show as "θ":

Can you see that the same angle can be formed in each of the other 3 quadrants by using a "form" of (4, 8) meaning you just need to adjust the positive and negative signs:

: