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JAMB Mathematics 2003 Question 34

Question 34

Coordinate Geometry

A triangle has vertices P(−1,6), Q(−3,−4) and R(1,−4). Find the midpoints of PQ and QR respectively.

  1. A.(0,−2) and (−1,−4)
  2. B.(−1,0) and (−1,−1)
  3. C.(−2,1) and (0,1)
  4. D.(−2,1) and (−1,−4)
Show the answer and explanation

Answer: D ((−2,1) and (−1,−4))

Explanation

Midpoint of PQ = ((−1 − 3)/2, (6 − 4)/2) = (−2, 1). Midpoint of QR = ((−3 + 1)/2, (−4 − 4)/2) = (−1, −4).