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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 (24, 16) and (40, 18).

    24 · 16 · 40 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (20, 32) and (40, 40).

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

  3. 3. Find the midpoint of the line segment joining (10, 16) and (26, 30).

    10 · 16 · 26 · 30 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (18, 22) and (32, 38).

    18 · 22 · 32 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (20, 22) and (26, 28).

    20 · 22 · 26 · 28 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (4, 30) and (18, 48).

    4 · 30 · 18 · 48 · Midpoint of a line segment

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

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

  8. 8. Find the midpoint of the line segment joining (4, 22) and (22, 36).

    4 · 22 · 22 · 36 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 6) and (24, 22).

    4 · 6 · 24 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (20, 6) and (22, 20).

    20 · 6 · 22 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (26, 14) and (28, 28).

    26 · 14 · 28 · 28 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (12, 24) and (24, 26).

    12 · 24 · 24 · 26 · Midpoint of a line segment
12 questions · Seed 104732 · 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 (24, 16) and (40, 18).

    (32, 17)

    Midpoint = ((24 + 40) ÷ 2, (16 + 18) ÷ 2) = (32, 17).

  2. 2. Find the midpoint of the line segment joining (20, 32) and (40, 40).

    (30, 36)

    Midpoint = ((20 + 40) ÷ 2, (32 + 40) ÷ 2) = (30, 36).

  3. 3. Find the midpoint of the line segment joining (10, 16) and (26, 30).

    (18, 23)

    Midpoint = ((10 + 26) ÷ 2, (16 + 30) ÷ 2) = (18, 23).

  4. 4. Find the midpoint of the line segment joining (18, 22) and (32, 38).

    (25, 30)

    Midpoint = ((18 + 32) ÷ 2, (22 + 38) ÷ 2) = (25, 30).

  5. 5. Find the midpoint of the line segment joining (20, 22) and (26, 28).

    (23, 25)

    Midpoint = ((20 + 26) ÷ 2, (22 + 28) ÷ 2) = (23, 25).

  6. 6. Find the midpoint of the line segment joining (4, 30) and (18, 48).

    (11, 39)

    Midpoint = ((4 + 18) ÷ 2, (30 + 48) ÷ 2) = (11, 39).

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

    (20, 29)

    Midpoint = ((16 + 24) ÷ 2, (24 + 34) ÷ 2) = (20, 29).

  8. 8. Find the midpoint of the line segment joining (4, 22) and (22, 36).

    (13, 29)

    Midpoint = ((4 + 22) ÷ 2, (22 + 36) ÷ 2) = (13, 29).

  9. 9. Find the midpoint of the line segment joining (4, 6) and (24, 22).

    (14, 14)

    Midpoint = ((4 + 24) ÷ 2, (6 + 22) ÷ 2) = (14, 14).

  10. 10. Find the midpoint of the line segment joining (20, 6) and (22, 20).

    (21, 13)

    Midpoint = ((20 + 22) ÷ 2, (6 + 20) ÷ 2) = (21, 13).

  11. 11. Find the midpoint of the line segment joining (26, 14) and (28, 28).

    (27, 21)

    Midpoint = ((26 + 28) ÷ 2, (14 + 28) ÷ 2) = (27, 21).

  12. 12. Find the midpoint of the line segment joining (12, 24) and (24, 26).

    (18, 25)

    Midpoint = ((12 + 24) ÷ 2, (24 + 26) ÷ 2) = (18, 25).

12 questions · Seed 104732 · 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 (24, 16) and (40, 18).

    24 · 16 · 40 · 18 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (20, 32) and (40, 40).

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

  3. 3. Find the midpoint of the line segment joining (10, 16) and (26, 30).

    10 · 16 · 26 · 30 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (18, 22) and (32, 38).

    18 · 22 · 32 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (20, 22) and (26, 28).

    20 · 22 · 26 · 28 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (4, 30) and (18, 48).

    4 · 30 · 18 · 48 · Midpoint of a line segment

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

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

  8. 8. Find the midpoint of the line segment joining (4, 22) and (22, 36).

    4 · 22 · 22 · 36 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 6) and (24, 22).

    4 · 6 · 24 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (20, 6) and (22, 20).

    20 · 6 · 22 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (26, 14) and (28, 28).

    26 · 14 · 28 · 28 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (12, 24) and (24, 26).

    12 · 24 · 24 · 26 · Midpoint of a line segment
12 questions · Seed 104732 · 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 (24, 16) and (40, 18).

    (32, 17)

    Midpoint = ((24 + 40) ÷ 2, (16 + 18) ÷ 2) = (32, 17).

  2. 2. Find the midpoint of the line segment joining (20, 32) and (40, 40).

    (30, 36)

    Midpoint = ((20 + 40) ÷ 2, (32 + 40) ÷ 2) = (30, 36).

  3. 3. Find the midpoint of the line segment joining (10, 16) and (26, 30).

    (18, 23)

    Midpoint = ((10 + 26) ÷ 2, (16 + 30) ÷ 2) = (18, 23).

  4. 4. Find the midpoint of the line segment joining (18, 22) and (32, 38).

    (25, 30)

    Midpoint = ((18 + 32) ÷ 2, (22 + 38) ÷ 2) = (25, 30).

  5. 5. Find the midpoint of the line segment joining (20, 22) and (26, 28).

    (23, 25)

    Midpoint = ((20 + 26) ÷ 2, (22 + 28) ÷ 2) = (23, 25).

  6. 6. Find the midpoint of the line segment joining (4, 30) and (18, 48).

    (11, 39)

    Midpoint = ((4 + 18) ÷ 2, (30 + 48) ÷ 2) = (11, 39).

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

    (20, 29)

    Midpoint = ((16 + 24) ÷ 2, (24 + 34) ÷ 2) = (20, 29).

  8. 8. Find the midpoint of the line segment joining (4, 22) and (22, 36).

    (13, 29)

    Midpoint = ((4 + 22) ÷ 2, (22 + 36) ÷ 2) = (13, 29).

  9. 9. Find the midpoint of the line segment joining (4, 6) and (24, 22).

    (14, 14)

    Midpoint = ((4 + 24) ÷ 2, (6 + 22) ÷ 2) = (14, 14).

  10. 10. Find the midpoint of the line segment joining (20, 6) and (22, 20).

    (21, 13)

    Midpoint = ((20 + 22) ÷ 2, (6 + 20) ÷ 2) = (21, 13).

  11. 11. Find the midpoint of the line segment joining (26, 14) and (28, 28).

    (27, 21)

    Midpoint = ((26 + 28) ÷ 2, (14 + 28) ÷ 2) = (27, 21).

  12. 12. Find the midpoint of the line segment joining (12, 24) and (24, 26).

    (18, 25)

    Midpoint = ((12 + 24) ÷ 2, (24 + 26) ÷ 2) = (18, 25).

12 questions · Seed 104732 · Age guidance, not curriculum certification