Answer: Choice A.
(0, b)
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Explanation:
Pick any random 3 numbers you want for a,b,c.
The points U, W and Z become
- U = (a,0) = (1,0)
- W = (c-a, b) = (3-1, 2) = (2,2)
- Z = (c, 0) = (3, 0)
Or in short,
- U = (1,0)
- W = (2,2)
- Z = (3, 0)
Plot each of those points on the same xy grid.
Next, using a different color, plot each of the answer choices.
- A is at (0,b) = (0, 2)
- B is at (c,b) = (3,2)
- C is at (a,b) = (1,2)
- D is at (b,0) = (2,0)
You should find that point A helps form a parallelogram, while the other answer choices don't lead to a parallelogram.
See the screenshot below. I used GeoGebra to make the diagram. Desmos is another useful tool as well.
