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Question 115

A learner finds the middle point of the segment joining (2, 4) and (8, 4) and writes (10, 8). Which statement names the mistake in this coordinate working and gives the correct middle point?

  1. The two pairs were added instead of averaged; the middle point is (5, 4).Bonne réponse
  2. The working is right, because adding two pairs together always lands halfway between them on the grid.
  3. The difference of the sideways values should be taken, so the middle point is (6, 4).
  4. The larger pair should simply be halved, so the middle point is (4, 2).

Explication

A middle point lies the same distance from each end, so each of its numbers is the average of the two given ones: 2 and 8 average to 5, while 4 stays 4 because both ends already share it. Adding the pairs pushes the result past both ends and lands further right than the right-hand end of the segment.

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Question 115: A learner finds the middle point of the segment joining (2,… · Geometry Basics · Questena