Answer
$M: (0,0) \\ P: (b,c) \\ Q: (a+b, c) \\ N: (a,0)$
Work Step by Step
We know that any vertex on the x-axis has a y coordinate of 0, and we know that any coordinate on the y-axis has a x coordinate of 0. Thus, we write 0 where appropriate. We know that any variables with the same height share a y-value, so we fill in more blanks. Finally, since Q has an x value of a+b and since N has an x value of a, we find that P must have an x value of b. Thus, we obtain:
$M: (0,0) \\ P: (b,c) \\ Q: (a+b, c) \\ N: (a,0)$
