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JAMB 2003 · UME · Q35

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

Worked solution (try it first)
  1. The midpoint averages the coordinates.
  2. PQPQ: (−1−32,6−42)=(−2,1)\left(\frac{-1 - 3}{2}, \frac{6 - 4}{2}\right) = (-2, 1).
  3. QRQR: (−3+12,−4−42)=(−1,−4)\left(\frac{-3 + 1}{2}, \frac{-4 - 4}{2}\right) = (-1, -4).
  4. So the midpoints are (−2,1)(-2, 1) and (−1,−4)(-1, -4), option B.

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