Question

The coordinates of parallelogram PVWZ are P(0, 0), V(a, b), and Z(c, 0). Find the coordinates of W without using any new variables.

Any help I could get on this one would be great! I don't understand this at all.

Answer 1

Ill take (c,b) would be the answer

Answer 2

Co-ordinates of W must be (c+a,b).

Explanation:

We are given that,

PVWZ is a parallelogram with vertices P(0,0), V(a,b) and Z(c,0).

Since, PVWZ is parallelogram.

The possible line segments are PV, VW, WZ and ZP.

Also, as the opposite sides must be parallel for the parallelogram, the co-ordinates will move accordingly.

So, we see from the figure that,

Co-ordinates of W must be (c+a,b).