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WAEC Further Mathematics 2006 Question 32

Question 32

Coordinate Geometry

The parallelogram PQRS has vertices P(−2,3), Q (1,4), R (2,6) and S (−1,5). Find the coordinates of the point of intersection of the diagonals.

  1. A.(−1,5)
  2. B.(−½, 3½)
  3. C.(0, 4½)
  4. D.(1½, 5)
Show the answer and explanation

Answer: C ((0, 4½))

Explanation

The diagonals of a parallelogram bisect each other, so the point is the midpoint of PR: ((−2 + 2)/2, (3 + 6)/2) = (0, 4½).