- A(0, 0) and (-3, 4)
- B(1, 0) and (-2, 4)
- C(-1.5, 2) and (0, 0)
- D(-3, 4) and (-6, 8)
Step-by-Step Solution
Ratio 1 : 2 gives and , i.e. (0, 0). Ratio 2 : 1 gives and , i.e. (-3, 4). The pair (1, 0) and (-2, 4) divides the coordinate differences by 3 but adds them back to the wrong endpoint; (-1.5, 2) is the midpoint used in place of a trisection point; the last option quotes B itself as one of the two points.
Answer: A) (0, 0) and (-3, 4)