Question

The coordinates of parallelogram PVXZ are P(0,0) , V(-p,q) , and W(-p-r,q). Find the coordinates of Z without using any new variables.

Answer 1

Considering that WV has a length of r (-p-(-p-r)=r), and since PVXZ is a parallelogram, then PZ also has a length of r. Then the x-coordinate of Z is -r (which would make PZ r units long) and since PZ is parallel to WV, Z has a y-coordinate of 0. The final answer is (-r, 0)

Answer 2

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