Skills · Geometry · Tools of Geometry

The midpoint formula

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. point A at (−6, 5), point B at (0, −5)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  2. point A at (4, 5), point B at (−6, −1)AB−6−4−4−2−2224466xy
    Find the midpoint of AB.
  3. point A at (−6, −6), point B at (6, 0)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  4. point A at (4, −3), point B at (6, −5)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  5. point A at (5, 3), point B at (1, −3)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  6. point A at (0, −1), point B at (−2, −3)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  7. point A at (−2, 2), point B at (−4, 4)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.
  8. point A at (2, −4), point B at (6, 0)AB−6−6−4−4−2−2224466xy
    Find the midpoint of AB.

Answer key

  1. (−3, 0)
  2. (−1, 2)
  3. (0, −3)
  4. (5, −4)
  5. (3, 0)
  6. (−1, −2)
  7. (−3, 3)
  8. (4, −2)

Sample Sheet · Level 3

  1. Find the midpoint of the segment from (−6, −2) to (7, 11).
  2. Find the midpoint of the segment from (−5, −10) to (−11, 14).
  3. The midpoint of AB is M(4, 8), and A is (−5, −2). Find B.
  4. Find the midpoint of the segment from (11, −15) to (−3, −2).
  5. The midpoint of AB is M(3, 4), and A is (8, −6). Find B.
  6. The midpoint of AB is M(−8, 1), and A is (−1, −9). Find B.
  7. Find the midpoint of the segment from (−8, 4) to (−2, −12).
  8. The midpoint of AB is M(8, 8), and A is (5, 7). Find B.

Answer key

  1. (12, 92)
  2. (−8, 2)
  3. (13, 18)
  4. (4, −172)
  5. (−2, 14)
  6. (−15, 11)
  7. (−5, −4)
  8. (11, 9)

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