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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 (16, 24) and (20, 30).

    16 · 24 · 20 · 30 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (20, 6) and (38, 16).

    20 · 6 · 38 · 16 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 8) and (30, 28).

    16 · 8 · 30 · 28 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (16, 24) and (36, 34).

    16 · 24 · 36 · 34 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (22, 12) and (30, 20).

    22 · 12 · 30 · 20 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 24) and (38, 32).

    30 · 24 · 38 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (20, 24) and (26, 26).

    20 · 24 · 26 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (2, 22) and (4, 40).

    2 · 22 · 4 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 32) and (22, 40).

    4 · 32 · 22 · 40 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 14) and (24, 20).

    4 · 14 · 24 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 26) and (24, 46).

    12 · 26 · 24 · 46 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (14, 28) and (24, 42).

    14 · 28 · 24 · 42 · Midpoint of a line segment
12 questions · Seed 104729 · 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 (16, 24) and (20, 30).

    (18, 27)

    Midpoint = ((16 + 20) ÷ 2, (24 + 30) ÷ 2) = (18, 27).

  2. 2. Find the midpoint of the line segment joining (20, 6) and (38, 16).

    (29, 11)

    Midpoint = ((20 + 38) ÷ 2, (6 + 16) ÷ 2) = (29, 11).

  3. 3. Find the midpoint of the line segment joining (16, 8) and (30, 28).

    (23, 18)

    Midpoint = ((16 + 30) ÷ 2, (8 + 28) ÷ 2) = (23, 18).

  4. 4. Find the midpoint of the line segment joining (16, 24) and (36, 34).

    (26, 29)

    Midpoint = ((16 + 36) ÷ 2, (24 + 34) ÷ 2) = (26, 29).

  5. 5. Find the midpoint of the line segment joining (22, 12) and (30, 20).

    (26, 16)

    Midpoint = ((22 + 30) ÷ 2, (12 + 20) ÷ 2) = (26, 16).

  6. 6. Find the midpoint of the line segment joining (30, 24) and (38, 32).

    (34, 28)

    Midpoint = ((30 + 38) ÷ 2, (24 + 32) ÷ 2) = (34, 28).

  7. 7. Find the midpoint of the line segment joining (20, 24) and (26, 26).

    (23, 25)

    Midpoint = ((20 + 26) ÷ 2, (24 + 26) ÷ 2) = (23, 25).

  8. 8. Find the midpoint of the line segment joining (2, 22) and (4, 40).

    (3, 31)

    Midpoint = ((2 + 4) ÷ 2, (22 + 40) ÷ 2) = (3, 31).

  9. 9. Find the midpoint of the line segment joining (4, 32) and (22, 40).

    (13, 36)

    Midpoint = ((4 + 22) ÷ 2, (32 + 40) ÷ 2) = (13, 36).

  10. 10. Find the midpoint of the line segment joining (4, 14) and (24, 20).

    (14, 17)

    Midpoint = ((4 + 24) ÷ 2, (14 + 20) ÷ 2) = (14, 17).

  11. 11. Find the midpoint of the line segment joining (12, 26) and (24, 46).

    (18, 36)

    Midpoint = ((12 + 24) ÷ 2, (26 + 46) ÷ 2) = (18, 36).

  12. 12. Find the midpoint of the line segment joining (14, 28) and (24, 42).

    (19, 35)

    Midpoint = ((14 + 24) ÷ 2, (28 + 42) ÷ 2) = (19, 35).

12 questions · Seed 104729 · 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 (16, 24) and (20, 30).

    16 · 24 · 20 · 30 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (20, 6) and (38, 16).

    20 · 6 · 38 · 16 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 8) and (30, 28).

    16 · 8 · 30 · 28 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (16, 24) and (36, 34).

    16 · 24 · 36 · 34 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (22, 12) and (30, 20).

    22 · 12 · 30 · 20 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 24) and (38, 32).

    30 · 24 · 38 · 32 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (20, 24) and (26, 26).

    20 · 24 · 26 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (2, 22) and (4, 40).

    2 · 22 · 4 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (4, 32) and (22, 40).

    4 · 32 · 22 · 40 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 14) and (24, 20).

    4 · 14 · 24 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 26) and (24, 46).

    12 · 26 · 24 · 46 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (14, 28) and (24, 42).

    14 · 28 · 24 · 42 · Midpoint of a line segment
12 questions · Seed 104729 · 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 (16, 24) and (20, 30).

    (18, 27)

    Midpoint = ((16 + 20) ÷ 2, (24 + 30) ÷ 2) = (18, 27).

  2. 2. Find the midpoint of the line segment joining (20, 6) and (38, 16).

    (29, 11)

    Midpoint = ((20 + 38) ÷ 2, (6 + 16) ÷ 2) = (29, 11).

  3. 3. Find the midpoint of the line segment joining (16, 8) and (30, 28).

    (23, 18)

    Midpoint = ((16 + 30) ÷ 2, (8 + 28) ÷ 2) = (23, 18).

  4. 4. Find the midpoint of the line segment joining (16, 24) and (36, 34).

    (26, 29)

    Midpoint = ((16 + 36) ÷ 2, (24 + 34) ÷ 2) = (26, 29).

  5. 5. Find the midpoint of the line segment joining (22, 12) and (30, 20).

    (26, 16)

    Midpoint = ((22 + 30) ÷ 2, (12 + 20) ÷ 2) = (26, 16).

  6. 6. Find the midpoint of the line segment joining (30, 24) and (38, 32).

    (34, 28)

    Midpoint = ((30 + 38) ÷ 2, (24 + 32) ÷ 2) = (34, 28).

  7. 7. Find the midpoint of the line segment joining (20, 24) and (26, 26).

    (23, 25)

    Midpoint = ((20 + 26) ÷ 2, (24 + 26) ÷ 2) = (23, 25).

  8. 8. Find the midpoint of the line segment joining (2, 22) and (4, 40).

    (3, 31)

    Midpoint = ((2 + 4) ÷ 2, (22 + 40) ÷ 2) = (3, 31).

  9. 9. Find the midpoint of the line segment joining (4, 32) and (22, 40).

    (13, 36)

    Midpoint = ((4 + 22) ÷ 2, (32 + 40) ÷ 2) = (13, 36).

  10. 10. Find the midpoint of the line segment joining (4, 14) and (24, 20).

    (14, 17)

    Midpoint = ((4 + 24) ÷ 2, (14 + 20) ÷ 2) = (14, 17).

  11. 11. Find the midpoint of the line segment joining (12, 26) and (24, 46).

    (18, 36)

    Midpoint = ((12 + 24) ÷ 2, (26 + 46) ÷ 2) = (18, 36).

  12. 12. Find the midpoint of the line segment joining (14, 28) and (24, 42).

    (19, 35)

    Midpoint = ((14 + 24) ÷ 2, (28 + 42) ÷ 2) = (19, 35).

12 questions · Seed 104729 · Age guidance, not curriculum certification