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WAEC Mathematics 2021 Question 42

Question 42

Coordinate Geometry

XY is a line segment with the coordinates X(−8, −12) and Y(p, q). If the midpoint of XY is (−4, −2), find the coordinates of Y.

  1. A.(−6, −10)
  2. B.(0, 8)
  3. C.(4, 10)
  4. D.(0, 4)
Show the answer and explanation

Answer: B ((0, 8))

Explanation

(−8 + p)/2 = −4 gives p = 0, and (−12 + q)/2 = −2 gives q = 8. So Y is (0, 8).