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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 (4, 12) and (22, 26).

    4 · 12 · 22 · 26 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (6, 6) and (18, 10).

    6 · 6 · 18 · 10 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (10, 22) and (18, 30).

    10 · 22 · 18 · 30 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (18, 24) and (32, 44).

    18 · 24 · 32 · 44 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (4, 12) and (8, 28).

    4 · 12 · 8 · 28 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (12, 16) and (24, 24).

    12 · 16 · 24 · 24 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 6) and (20, 16).

    10 · 6 · 20 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 10) and (34, 14).

    26 · 10 · 34 · 14 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (26, 18) and (40, 22).

    26 · 18 · 40 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 22) and (16, 24).

    6 · 22 · 16 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 30) and (20, 38).

    16 · 30 · 20 · 38 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (18, 24) and (30, 36).

    18 · 24 · 30 · 36 · Midpoint of a line segment
12 questions · Seed 46 · 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 (4, 12) and (22, 26).

    (13, 19)

    Midpoint = ((4 + 22) ÷ 2, (12 + 26) ÷ 2) = (13, 19).

  2. 2. Find the midpoint of the line segment joining (6, 6) and (18, 10).

    (12, 8)

    Midpoint = ((6 + 18) ÷ 2, (6 + 10) ÷ 2) = (12, 8).

  3. 3. Find the midpoint of the line segment joining (10, 22) and (18, 30).

    (14, 26)

    Midpoint = ((10 + 18) ÷ 2, (22 + 30) ÷ 2) = (14, 26).

  4. 4. Find the midpoint of the line segment joining (18, 24) and (32, 44).

    (25, 34)

    Midpoint = ((18 + 32) ÷ 2, (24 + 44) ÷ 2) = (25, 34).

  5. 5. Find the midpoint of the line segment joining (4, 12) and (8, 28).

    (6, 20)

    Midpoint = ((4 + 8) ÷ 2, (12 + 28) ÷ 2) = (6, 20).

  6. 6. Find the midpoint of the line segment joining (12, 16) and (24, 24).

    (18, 20)

    Midpoint = ((12 + 24) ÷ 2, (16 + 24) ÷ 2) = (18, 20).

  7. 7. Find the midpoint of the line segment joining (10, 6) and (20, 16).

    (15, 11)

    Midpoint = ((10 + 20) ÷ 2, (6 + 16) ÷ 2) = (15, 11).

  8. 8. Find the midpoint of the line segment joining (26, 10) and (34, 14).

    (30, 12)

    Midpoint = ((26 + 34) ÷ 2, (10 + 14) ÷ 2) = (30, 12).

  9. 9. Find the midpoint of the line segment joining (26, 18) and (40, 22).

    (33, 20)

    Midpoint = ((26 + 40) ÷ 2, (18 + 22) ÷ 2) = (33, 20).

  10. 10. Find the midpoint of the line segment joining (6, 22) and (16, 24).

    (11, 23)

    Midpoint = ((6 + 16) ÷ 2, (22 + 24) ÷ 2) = (11, 23).

  11. 11. Find the midpoint of the line segment joining (16, 30) and (20, 38).

    (18, 34)

    Midpoint = ((16 + 20) ÷ 2, (30 + 38) ÷ 2) = (18, 34).

  12. 12. Find the midpoint of the line segment joining (18, 24) and (30, 36).

    (24, 30)

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

12 questions · Seed 46 · 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 (4, 12) and (22, 26).

    4 · 12 · 22 · 26 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (6, 6) and (18, 10).

    6 · 6 · 18 · 10 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (10, 22) and (18, 30).

    10 · 22 · 18 · 30 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (18, 24) and (32, 44).

    18 · 24 · 32 · 44 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (4, 12) and (8, 28).

    4 · 12 · 8 · 28 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (12, 16) and (24, 24).

    12 · 16 · 24 · 24 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 6) and (20, 16).

    10 · 6 · 20 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 10) and (34, 14).

    26 · 10 · 34 · 14 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (26, 18) and (40, 22).

    26 · 18 · 40 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 22) and (16, 24).

    6 · 22 · 16 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 30) and (20, 38).

    16 · 30 · 20 · 38 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (18, 24) and (30, 36).

    18 · 24 · 30 · 36 · Midpoint of a line segment
12 questions · Seed 46 · 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 (4, 12) and (22, 26).

    (13, 19)

    Midpoint = ((4 + 22) ÷ 2, (12 + 26) ÷ 2) = (13, 19).

  2. 2. Find the midpoint of the line segment joining (6, 6) and (18, 10).

    (12, 8)

    Midpoint = ((6 + 18) ÷ 2, (6 + 10) ÷ 2) = (12, 8).

  3. 3. Find the midpoint of the line segment joining (10, 22) and (18, 30).

    (14, 26)

    Midpoint = ((10 + 18) ÷ 2, (22 + 30) ÷ 2) = (14, 26).

  4. 4. Find the midpoint of the line segment joining (18, 24) and (32, 44).

    (25, 34)

    Midpoint = ((18 + 32) ÷ 2, (24 + 44) ÷ 2) = (25, 34).

  5. 5. Find the midpoint of the line segment joining (4, 12) and (8, 28).

    (6, 20)

    Midpoint = ((4 + 8) ÷ 2, (12 + 28) ÷ 2) = (6, 20).

  6. 6. Find the midpoint of the line segment joining (12, 16) and (24, 24).

    (18, 20)

    Midpoint = ((12 + 24) ÷ 2, (16 + 24) ÷ 2) = (18, 20).

  7. 7. Find the midpoint of the line segment joining (10, 6) and (20, 16).

    (15, 11)

    Midpoint = ((10 + 20) ÷ 2, (6 + 16) ÷ 2) = (15, 11).

  8. 8. Find the midpoint of the line segment joining (26, 10) and (34, 14).

    (30, 12)

    Midpoint = ((26 + 34) ÷ 2, (10 + 14) ÷ 2) = (30, 12).

  9. 9. Find the midpoint of the line segment joining (26, 18) and (40, 22).

    (33, 20)

    Midpoint = ((26 + 40) ÷ 2, (18 + 22) ÷ 2) = (33, 20).

  10. 10. Find the midpoint of the line segment joining (6, 22) and (16, 24).

    (11, 23)

    Midpoint = ((6 + 16) ÷ 2, (22 + 24) ÷ 2) = (11, 23).

  11. 11. Find the midpoint of the line segment joining (16, 30) and (20, 38).

    (18, 34)

    Midpoint = ((16 + 20) ÷ 2, (30 + 38) ÷ 2) = (18, 34).

  12. 12. Find the midpoint of the line segment joining (18, 24) and (30, 36).

    (24, 30)

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

12 questions · Seed 46 · Age guidance, not curriculum certification