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MathsAges 16-18

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 16-18

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (10, 14) and (28, 18).

    10 · 14 · 28 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (8, 32) and (20, 44).

    8 · 32 · 20 · 44 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 6) and (32, 22).

    24 · 6 · 32 · 22 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 28) and (20, 38).

    2 · 28 · 20 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (18, 18) and (22, 36).

    18 · 18 · 22 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (4, 20) and (20, 32).

    4 · 20 · 20 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (32, 26) and (44, 38).

    32 · 26 · 44 · 38 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 2) and (42, 16).

    26 · 2 · 42 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (24, 32) and (30, 42).

    24 · 32 · 30 · 42 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 24) and (24, 42).

    4 · 24 · 24 · 42 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 30) and (46, 48).

    28 · 30 · 46 · 48 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (22, 14) and (34, 24).

    22 · 14 · 34 · 24 · Midpoint of a line segment
12 questions · Seed 104739 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (10, 14) and (28, 18).

    (19, 16)

    Midpoint = ((10 + 28) ÷ 2, (14 + 18) ÷ 2) = (19, 16).

  2. 2. Find the midpoint of the line segment joining (8, 32) and (20, 44).

    (14, 38)

    Midpoint = ((8 + 20) ÷ 2, (32 + 44) ÷ 2) = (14, 38).

  3. 3. Find the midpoint of the line segment joining (24, 6) and (32, 22).

    (28, 14)

    Midpoint = ((24 + 32) ÷ 2, (6 + 22) ÷ 2) = (28, 14).

  4. 4. Find the midpoint of the line segment joining (2, 28) and (20, 38).

    (11, 33)

    Midpoint = ((2 + 20) ÷ 2, (28 + 38) ÷ 2) = (11, 33).

  5. 5. Find the midpoint of the line segment joining (18, 18) and (22, 36).

    (20, 27)

    Midpoint = ((18 + 22) ÷ 2, (18 + 36) ÷ 2) = (20, 27).

  6. 6. Find the midpoint of the line segment joining (4, 20) and (20, 32).

    (12, 26)

    Midpoint = ((4 + 20) ÷ 2, (20 + 32) ÷ 2) = (12, 26).

  7. 7. Find the midpoint of the line segment joining (32, 26) and (44, 38).

    (38, 32)

    Midpoint = ((32 + 44) ÷ 2, (26 + 38) ÷ 2) = (38, 32).

  8. 8. Find the midpoint of the line segment joining (26, 2) and (42, 16).

    (34, 9)

    Midpoint = ((26 + 42) ÷ 2, (2 + 16) ÷ 2) = (34, 9).

  9. 9. Find the midpoint of the line segment joining (24, 32) and (30, 42).

    (27, 37)

    Midpoint = ((24 + 30) ÷ 2, (32 + 42) ÷ 2) = (27, 37).

  10. 10. Find the midpoint of the line segment joining (4, 24) and (24, 42).

    (14, 33)

    Midpoint = ((4 + 24) ÷ 2, (24 + 42) ÷ 2) = (14, 33).

  11. 11. Find the midpoint of the line segment joining (28, 30) and (46, 48).

    (37, 39)

    Midpoint = ((28 + 46) ÷ 2, (30 + 48) ÷ 2) = (37, 39).

  12. 12. Find the midpoint of the line segment joining (22, 14) and (34, 24).

    (28, 19)

    Midpoint = ((22 + 34) ÷ 2, (14 + 24) ÷ 2) = (28, 19).

12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (10, 14) and (28, 18).

    10 · 14 · 28 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (8, 32) and (20, 44).

    8 · 32 · 20 · 44 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 6) and (32, 22).

    24 · 6 · 32 · 22 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 28) and (20, 38).

    2 · 28 · 20 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (18, 18) and (22, 36).

    18 · 18 · 22 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (4, 20) and (20, 32).

    4 · 20 · 20 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (32, 26) and (44, 38).

    32 · 26 · 44 · 38 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 2) and (42, 16).

    26 · 2 · 42 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (24, 32) and (30, 42).

    24 · 32 · 30 · 42 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 24) and (24, 42).

    4 · 24 · 24 · 42 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 30) and (46, 48).

    28 · 30 · 46 · 48 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (22, 14) and (34, 24).

    22 · 14 · 34 · 24 · Midpoint of a line segment
12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (10, 14) and (28, 18).

    (19, 16)

    Midpoint = ((10 + 28) ÷ 2, (14 + 18) ÷ 2) = (19, 16).

  2. 2. Find the midpoint of the line segment joining (8, 32) and (20, 44).

    (14, 38)

    Midpoint = ((8 + 20) ÷ 2, (32 + 44) ÷ 2) = (14, 38).

  3. 3. Find the midpoint of the line segment joining (24, 6) and (32, 22).

    (28, 14)

    Midpoint = ((24 + 32) ÷ 2, (6 + 22) ÷ 2) = (28, 14).

  4. 4. Find the midpoint of the line segment joining (2, 28) and (20, 38).

    (11, 33)

    Midpoint = ((2 + 20) ÷ 2, (28 + 38) ÷ 2) = (11, 33).

  5. 5. Find the midpoint of the line segment joining (18, 18) and (22, 36).

    (20, 27)

    Midpoint = ((18 + 22) ÷ 2, (18 + 36) ÷ 2) = (20, 27).

  6. 6. Find the midpoint of the line segment joining (4, 20) and (20, 32).

    (12, 26)

    Midpoint = ((4 + 20) ÷ 2, (20 + 32) ÷ 2) = (12, 26).

  7. 7. Find the midpoint of the line segment joining (32, 26) and (44, 38).

    (38, 32)

    Midpoint = ((32 + 44) ÷ 2, (26 + 38) ÷ 2) = (38, 32).

  8. 8. Find the midpoint of the line segment joining (26, 2) and (42, 16).

    (34, 9)

    Midpoint = ((26 + 42) ÷ 2, (2 + 16) ÷ 2) = (34, 9).

  9. 9. Find the midpoint of the line segment joining (24, 32) and (30, 42).

    (27, 37)

    Midpoint = ((24 + 30) ÷ 2, (32 + 42) ÷ 2) = (27, 37).

  10. 10. Find the midpoint of the line segment joining (4, 24) and (24, 42).

    (14, 33)

    Midpoint = ((4 + 24) ÷ 2, (24 + 42) ÷ 2) = (14, 33).

  11. 11. Find the midpoint of the line segment joining (28, 30) and (46, 48).

    (37, 39)

    Midpoint = ((28 + 46) ÷ 2, (30 + 48) ÷ 2) = (37, 39).

  12. 12. Find the midpoint of the line segment joining (22, 14) and (34, 24).

    (28, 19)

    Midpoint = ((22 + 34) ÷ 2, (14 + 24) ÷ 2) = (28, 19).

12 questions · Seed 104739 · Age guidance, not curriculum certification