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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, 32) and (20, 40).

    10 · 32 · 20 · 40 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (12, 12) and (16, 32).

    12 · 12 · 16 · 32 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (18, 24) and (32, 36).

    18 · 24 · 32 · 36 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (32, 28) and (52, 34).

    32 · 28 · 52 · 34 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (6, 22) and (22, 40).

    6 · 22 · 22 · 40 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (22, 8) and (32, 26).

    22 · 8 · 32 · 26 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (28, 28) and (36, 42).

    28 · 28 · 36 · 42 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 24) and (30, 40).

    14 · 24 · 30 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 28) and (12, 44).

    4 · 28 · 12 · 44 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (26, 10) and (42, 24).

    26 · 10 · 42 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 22) and (48, 26).

    28 · 22 · 48 · 26 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (20, 30) and (40, 42).

    20 · 30 · 40 · 42 · Midpoint of a line segment
12 questions · Seed 42 · 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, 32) and (20, 40).

    (15, 36)

    Midpoint = ((10 + 20) ÷ 2, (32 + 40) ÷ 2) = (15, 36).

  2. 2. Find the midpoint of the line segment joining (12, 12) and (16, 32).

    (14, 22)

    Midpoint = ((12 + 16) ÷ 2, (12 + 32) ÷ 2) = (14, 22).

  3. 3. Find the midpoint of the line segment joining (18, 24) and (32, 36).

    (25, 30)

    Midpoint = ((18 + 32) ÷ 2, (24 + 36) ÷ 2) = (25, 30).

  4. 4. Find the midpoint of the line segment joining (32, 28) and (52, 34).

    (42, 31)

    Midpoint = ((32 + 52) ÷ 2, (28 + 34) ÷ 2) = (42, 31).

  5. 5. Find the midpoint of the line segment joining (6, 22) and (22, 40).

    (14, 31)

    Midpoint = ((6 + 22) ÷ 2, (22 + 40) ÷ 2) = (14, 31).

  6. 6. Find the midpoint of the line segment joining (22, 8) and (32, 26).

    (27, 17)

    Midpoint = ((22 + 32) ÷ 2, (8 + 26) ÷ 2) = (27, 17).

  7. 7. Find the midpoint of the line segment joining (28, 28) and (36, 42).

    (32, 35)

    Midpoint = ((28 + 36) ÷ 2, (28 + 42) ÷ 2) = (32, 35).

  8. 8. Find the midpoint of the line segment joining (14, 24) and (30, 40).

    (22, 32)

    Midpoint = ((14 + 30) ÷ 2, (24 + 40) ÷ 2) = (22, 32).

  9. 9. Find the midpoint of the line segment joining (4, 28) and (12, 44).

    (8, 36)

    Midpoint = ((4 + 12) ÷ 2, (28 + 44) ÷ 2) = (8, 36).

  10. 10. Find the midpoint of the line segment joining (26, 10) and (42, 24).

    (34, 17)

    Midpoint = ((26 + 42) ÷ 2, (10 + 24) ÷ 2) = (34, 17).

  11. 11. Find the midpoint of the line segment joining (28, 22) and (48, 26).

    (38, 24)

    Midpoint = ((28 + 48) ÷ 2, (22 + 26) ÷ 2) = (38, 24).

  12. 12. Find the midpoint of the line segment joining (20, 30) and (40, 42).

    (30, 36)

    Midpoint = ((20 + 40) ÷ 2, (30 + 42) ÷ 2) = (30, 36).

12 questions · Seed 42 · 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, 32) and (20, 40).

    10 · 32 · 20 · 40 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (12, 12) and (16, 32).

    12 · 12 · 16 · 32 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (18, 24) and (32, 36).

    18 · 24 · 32 · 36 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (32, 28) and (52, 34).

    32 · 28 · 52 · 34 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (6, 22) and (22, 40).

    6 · 22 · 22 · 40 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (22, 8) and (32, 26).

    22 · 8 · 32 · 26 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (28, 28) and (36, 42).

    28 · 28 · 36 · 42 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 24) and (30, 40).

    14 · 24 · 30 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 28) and (12, 44).

    4 · 28 · 12 · 44 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (26, 10) and (42, 24).

    26 · 10 · 42 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 22) and (48, 26).

    28 · 22 · 48 · 26 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (20, 30) and (40, 42).

    20 · 30 · 40 · 42 · Midpoint of a line segment
12 questions · Seed 42 · 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, 32) and (20, 40).

    (15, 36)

    Midpoint = ((10 + 20) ÷ 2, (32 + 40) ÷ 2) = (15, 36).

  2. 2. Find the midpoint of the line segment joining (12, 12) and (16, 32).

    (14, 22)

    Midpoint = ((12 + 16) ÷ 2, (12 + 32) ÷ 2) = (14, 22).

  3. 3. Find the midpoint of the line segment joining (18, 24) and (32, 36).

    (25, 30)

    Midpoint = ((18 + 32) ÷ 2, (24 + 36) ÷ 2) = (25, 30).

  4. 4. Find the midpoint of the line segment joining (32, 28) and (52, 34).

    (42, 31)

    Midpoint = ((32 + 52) ÷ 2, (28 + 34) ÷ 2) = (42, 31).

  5. 5. Find the midpoint of the line segment joining (6, 22) and (22, 40).

    (14, 31)

    Midpoint = ((6 + 22) ÷ 2, (22 + 40) ÷ 2) = (14, 31).

  6. 6. Find the midpoint of the line segment joining (22, 8) and (32, 26).

    (27, 17)

    Midpoint = ((22 + 32) ÷ 2, (8 + 26) ÷ 2) = (27, 17).

  7. 7. Find the midpoint of the line segment joining (28, 28) and (36, 42).

    (32, 35)

    Midpoint = ((28 + 36) ÷ 2, (28 + 42) ÷ 2) = (32, 35).

  8. 8. Find the midpoint of the line segment joining (14, 24) and (30, 40).

    (22, 32)

    Midpoint = ((14 + 30) ÷ 2, (24 + 40) ÷ 2) = (22, 32).

  9. 9. Find the midpoint of the line segment joining (4, 28) and (12, 44).

    (8, 36)

    Midpoint = ((4 + 12) ÷ 2, (28 + 44) ÷ 2) = (8, 36).

  10. 10. Find the midpoint of the line segment joining (26, 10) and (42, 24).

    (34, 17)

    Midpoint = ((26 + 42) ÷ 2, (10 + 24) ÷ 2) = (34, 17).

  11. 11. Find the midpoint of the line segment joining (28, 22) and (48, 26).

    (38, 24)

    Midpoint = ((28 + 48) ÷ 2, (22 + 26) ÷ 2) = (38, 24).

  12. 12. Find the midpoint of the line segment joining (20, 30) and (40, 42).

    (30, 36)

    Midpoint = ((20 + 40) ÷ 2, (30 + 42) ÷ 2) = (30, 36).

12 questions · Seed 42 · Age guidance, not curriculum certification