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MathsAges 13-15

Midpoint of a line segment

Average the x-coordinates and y-coordinates of two endpoints to find the midpoint M of a line segment. Review suitability for your learners before teaching.

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Age band:Ages 13-15Ages 16-18

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Worksheet StudioPractice pack · Ages 13-15

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (20, 4) and (24, 18).

    20 · 4 · 24 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (2, 24) and (12, 32).

    2 · 24 · 12 · 32 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    26 · 30 · 34 · 46 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (32, 16) and (46, 36).

    32 · 16 · 46 · 36 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (24, 20) and (32, 36).

    24 · 20 · 32 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (16, 20) and (32, 30).

    16 · 20 · 32 · 30 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (18, 16) and (34, 24).

    18 · 16 · 34 · 24 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (28, 10) and (46, 16).

    28 · 10 · 46 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 18) and (22, 38).

    4 · 18 · 22 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (12, 32) and (14, 52).

    12 · 32 · 14 · 52 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (8, 4) and (18, 10).

    8 · 4 · 18 · 10 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 6) and (30, 16).

    16 · 6 · 30 · 16 · Midpoint of a line segment
12 questions · Seed 104740 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (20, 4) and (24, 18).

    (22, 11)

    Midpoint = ((20 + 24) ÷ 2, (4 + 18) ÷ 2) = (22, 11).

  2. 2. Find the midpoint of the line segment joining (2, 24) and (12, 32).

    (7, 28)

    Midpoint = ((2 + 12) ÷ 2, (24 + 32) ÷ 2) = (7, 28).

  3. 3. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    (30, 38)

    Midpoint = ((26 + 34) ÷ 2, (30 + 46) ÷ 2) = (30, 38).

  4. 4. Find the midpoint of the line segment joining (32, 16) and (46, 36).

    (39, 26)

    Midpoint = ((32 + 46) ÷ 2, (16 + 36) ÷ 2) = (39, 26).

  5. 5. Find the midpoint of the line segment joining (24, 20) and (32, 36).

    (28, 28)

    Midpoint = ((24 + 32) ÷ 2, (20 + 36) ÷ 2) = (28, 28).

  6. 6. Find the midpoint of the line segment joining (16, 20) and (32, 30).

    (24, 25)

    Midpoint = ((16 + 32) ÷ 2, (20 + 30) ÷ 2) = (24, 25).

  7. 7. Find the midpoint of the line segment joining (18, 16) and (34, 24).

    (26, 20)

    Midpoint = ((18 + 34) ÷ 2, (16 + 24) ÷ 2) = (26, 20).

  8. 8. Find the midpoint of the line segment joining (28, 10) and (46, 16).

    (37, 13)

    Midpoint = ((28 + 46) ÷ 2, (10 + 16) ÷ 2) = (37, 13).

  9. 9. Find the midpoint of the line segment joining (4, 18) and (22, 38).

    (13, 28)

    Midpoint = ((4 + 22) ÷ 2, (18 + 38) ÷ 2) = (13, 28).

  10. 10. Find the midpoint of the line segment joining (12, 32) and (14, 52).

    (13, 42)

    Midpoint = ((12 + 14) ÷ 2, (32 + 52) ÷ 2) = (13, 42).

  11. 11. Find the midpoint of the line segment joining (8, 4) and (18, 10).

    (13, 7)

    Midpoint = ((8 + 18) ÷ 2, (4 + 10) ÷ 2) = (13, 7).

  12. 12. Find the midpoint of the line segment joining (16, 6) and (30, 16).

    (23, 11)

    Midpoint = ((16 + 30) ÷ 2, (6 + 16) ÷ 2) = (23, 11).

12 questions · Seed 104740 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (20, 4) and (24, 18).

    20 · 4 · 24 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (2, 24) and (12, 32).

    2 · 24 · 12 · 32 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    26 · 30 · 34 · 46 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (32, 16) and (46, 36).

    32 · 16 · 46 · 36 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (24, 20) and (32, 36).

    24 · 20 · 32 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (16, 20) and (32, 30).

    16 · 20 · 32 · 30 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (18, 16) and (34, 24).

    18 · 16 · 34 · 24 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (28, 10) and (46, 16).

    28 · 10 · 46 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 18) and (22, 38).

    4 · 18 · 22 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (12, 32) and (14, 52).

    12 · 32 · 14 · 52 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (8, 4) and (18, 10).

    8 · 4 · 18 · 10 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 6) and (30, 16).

    16 · 6 · 30 · 16 · Midpoint of a line segment
12 questions · Seed 104740 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (20, 4) and (24, 18).

    (22, 11)

    Midpoint = ((20 + 24) ÷ 2, (4 + 18) ÷ 2) = (22, 11).

  2. 2. Find the midpoint of the line segment joining (2, 24) and (12, 32).

    (7, 28)

    Midpoint = ((2 + 12) ÷ 2, (24 + 32) ÷ 2) = (7, 28).

  3. 3. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    (30, 38)

    Midpoint = ((26 + 34) ÷ 2, (30 + 46) ÷ 2) = (30, 38).

  4. 4. Find the midpoint of the line segment joining (32, 16) and (46, 36).

    (39, 26)

    Midpoint = ((32 + 46) ÷ 2, (16 + 36) ÷ 2) = (39, 26).

  5. 5. Find the midpoint of the line segment joining (24, 20) and (32, 36).

    (28, 28)

    Midpoint = ((24 + 32) ÷ 2, (20 + 36) ÷ 2) = (28, 28).

  6. 6. Find the midpoint of the line segment joining (16, 20) and (32, 30).

    (24, 25)

    Midpoint = ((16 + 32) ÷ 2, (20 + 30) ÷ 2) = (24, 25).

  7. 7. Find the midpoint of the line segment joining (18, 16) and (34, 24).

    (26, 20)

    Midpoint = ((18 + 34) ÷ 2, (16 + 24) ÷ 2) = (26, 20).

  8. 8. Find the midpoint of the line segment joining (28, 10) and (46, 16).

    (37, 13)

    Midpoint = ((28 + 46) ÷ 2, (10 + 16) ÷ 2) = (37, 13).

  9. 9. Find the midpoint of the line segment joining (4, 18) and (22, 38).

    (13, 28)

    Midpoint = ((4 + 22) ÷ 2, (18 + 38) ÷ 2) = (13, 28).

  10. 10. Find the midpoint of the line segment joining (12, 32) and (14, 52).

    (13, 42)

    Midpoint = ((12 + 14) ÷ 2, (32 + 52) ÷ 2) = (13, 42).

  11. 11. Find the midpoint of the line segment joining (8, 4) and (18, 10).

    (13, 7)

    Midpoint = ((8 + 18) ÷ 2, (4 + 10) ÷ 2) = (13, 7).

  12. 12. Find the midpoint of the line segment joining (16, 6) and (30, 16).

    (23, 11)

    Midpoint = ((16 + 30) ÷ 2, (6 + 16) ÷ 2) = (23, 11).

12 questions · Seed 104740 · Age guidance, not curriculum certification