Lesson eLearning

Find the coordinates of the midpoint of the line segment joining the points (2, 5) and (14, 19).

medium 3 marks Class 5 · Mathematics · Boxes and Sketches
Answer
(8, 12)

The correct answer is (8, 12) — Therefore the midpoint is (8, 12).

Step-by-step solution

  1. Midpoint formula: ((x_1+x_2)/2 , (y_1+y_2)/2).
  2. Add x coordinates: 2 + 14 = 16; divide by 2 to get 8.
  3. Add y coordinates: 5 + 19 = 24; divide by 2 to get 12.
  4. Therefore the midpoint is (8, 12).
Common mistake: Forgetting to divide the sum by 2

Concept tested: Midpoint of a line segment

Published · How this solution was prepared and checked

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