The coordinates of parallelogram pvwz are p(0, 0), v(-p, q), and w(-p - r, q). find the coordinates of z without using any new variables.

(0, -r)

(p + r, q)

(-r, 0)

(-p, -q)

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)

stop using this to cheat on home work

step-by-step explanation:

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