Answer:
The coordinates are (-r,0)
Step-by-step explanation:
Given the coordinates of parallelogram PVWZ are P(0,0), V(-p,q), and W(-p-r, q). we have to find the coordinates of Z.
Let coordinates of Z(x,y)
As the diagonals of parallelogram bisect each other.
Therefore, by using mid-point formula
If
Mid-point of line segment joining the line P(0,0) and W(-p-r, q).
Mid-point of line segment joining the line V(-p, q) and Z(x,y)
As the diagonals of parallelogram bisect each other.
Comparing, we get
Hence, the coordinates are (-r,0)