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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 (6, 22) and (14, 42).

    6 · 22 · 14 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (6, 4) and (10, 20).

    6 · 4 · 10 · 20 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (22, 10) and (34, 16).

    22 · 10 · 34 · 16 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (6, 30) and (12, 46).

    6 · 30 · 12 · 46 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (14, 20) and (30, 24).

    14 · 20 · 30 · 24 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 20) and (52, 22).

    32 · 20 · 52 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (30, 20) and (46, 26).

    30 · 20 · 46 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 12) and (26, 14).

    10 · 12 · 26 · 14 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (12, 14) and (22, 26).

    12 · 14 · 22 · 26 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 28) and (12, 44).

    6 · 28 · 12 · 44 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (18, 12) and (32, 32).

    18 · 12 · 32 · 32 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 14) and (24, 20).

    16 · 14 · 24 · 20 · Midpoint of a line segment
12 questions · Seed 44 · 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 (6, 22) and (14, 42).

    (10, 32)

    Midpoint = ((6 + 14) ÷ 2, (22 + 42) ÷ 2) = (10, 32).

  2. 2. Find the midpoint of the line segment joining (6, 4) and (10, 20).

    (8, 12)

    Midpoint = ((6 + 10) ÷ 2, (4 + 20) ÷ 2) = (8, 12).

  3. 3. Find the midpoint of the line segment joining (22, 10) and (34, 16).

    (28, 13)

    Midpoint = ((22 + 34) ÷ 2, (10 + 16) ÷ 2) = (28, 13).

  4. 4. Find the midpoint of the line segment joining (6, 30) and (12, 46).

    (9, 38)

    Midpoint = ((6 + 12) ÷ 2, (30 + 46) ÷ 2) = (9, 38).

  5. 5. Find the midpoint of the line segment joining (14, 20) and (30, 24).

    (22, 22)

    Midpoint = ((14 + 30) ÷ 2, (20 + 24) ÷ 2) = (22, 22).

  6. 6. Find the midpoint of the line segment joining (32, 20) and (52, 22).

    (42, 21)

    Midpoint = ((32 + 52) ÷ 2, (20 + 22) ÷ 2) = (42, 21).

  7. 7. Find the midpoint of the line segment joining (30, 20) and (46, 26).

    (38, 23)

    Midpoint = ((30 + 46) ÷ 2, (20 + 26) ÷ 2) = (38, 23).

  8. 8. Find the midpoint of the line segment joining (10, 12) and (26, 14).

    (18, 13)

    Midpoint = ((10 + 26) ÷ 2, (12 + 14) ÷ 2) = (18, 13).

  9. 9. Find the midpoint of the line segment joining (12, 14) and (22, 26).

    (17, 20)

    Midpoint = ((12 + 22) ÷ 2, (14 + 26) ÷ 2) = (17, 20).

  10. 10. Find the midpoint of the line segment joining (6, 28) and (12, 44).

    (9, 36)

    Midpoint = ((6 + 12) ÷ 2, (28 + 44) ÷ 2) = (9, 36).

  11. 11. Find the midpoint of the line segment joining (18, 12) and (32, 32).

    (25, 22)

    Midpoint = ((18 + 32) ÷ 2, (12 + 32) ÷ 2) = (25, 22).

  12. 12. Find the midpoint of the line segment joining (16, 14) and (24, 20).

    (20, 17)

    Midpoint = ((16 + 24) ÷ 2, (14 + 20) ÷ 2) = (20, 17).

12 questions · Seed 44 · 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 (6, 22) and (14, 42).

    6 · 22 · 14 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (6, 4) and (10, 20).

    6 · 4 · 10 · 20 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (22, 10) and (34, 16).

    22 · 10 · 34 · 16 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (6, 30) and (12, 46).

    6 · 30 · 12 · 46 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (14, 20) and (30, 24).

    14 · 20 · 30 · 24 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 20) and (52, 22).

    32 · 20 · 52 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (30, 20) and (46, 26).

    30 · 20 · 46 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 12) and (26, 14).

    10 · 12 · 26 · 14 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (12, 14) and (22, 26).

    12 · 14 · 22 · 26 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 28) and (12, 44).

    6 · 28 · 12 · 44 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (18, 12) and (32, 32).

    18 · 12 · 32 · 32 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 14) and (24, 20).

    16 · 14 · 24 · 20 · Midpoint of a line segment
12 questions · Seed 44 · 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 (6, 22) and (14, 42).

    (10, 32)

    Midpoint = ((6 + 14) ÷ 2, (22 + 42) ÷ 2) = (10, 32).

  2. 2. Find the midpoint of the line segment joining (6, 4) and (10, 20).

    (8, 12)

    Midpoint = ((6 + 10) ÷ 2, (4 + 20) ÷ 2) = (8, 12).

  3. 3. Find the midpoint of the line segment joining (22, 10) and (34, 16).

    (28, 13)

    Midpoint = ((22 + 34) ÷ 2, (10 + 16) ÷ 2) = (28, 13).

  4. 4. Find the midpoint of the line segment joining (6, 30) and (12, 46).

    (9, 38)

    Midpoint = ((6 + 12) ÷ 2, (30 + 46) ÷ 2) = (9, 38).

  5. 5. Find the midpoint of the line segment joining (14, 20) and (30, 24).

    (22, 22)

    Midpoint = ((14 + 30) ÷ 2, (20 + 24) ÷ 2) = (22, 22).

  6. 6. Find the midpoint of the line segment joining (32, 20) and (52, 22).

    (42, 21)

    Midpoint = ((32 + 52) ÷ 2, (20 + 22) ÷ 2) = (42, 21).

  7. 7. Find the midpoint of the line segment joining (30, 20) and (46, 26).

    (38, 23)

    Midpoint = ((30 + 46) ÷ 2, (20 + 26) ÷ 2) = (38, 23).

  8. 8. Find the midpoint of the line segment joining (10, 12) and (26, 14).

    (18, 13)

    Midpoint = ((10 + 26) ÷ 2, (12 + 14) ÷ 2) = (18, 13).

  9. 9. Find the midpoint of the line segment joining (12, 14) and (22, 26).

    (17, 20)

    Midpoint = ((12 + 22) ÷ 2, (14 + 26) ÷ 2) = (17, 20).

  10. 10. Find the midpoint of the line segment joining (6, 28) and (12, 44).

    (9, 36)

    Midpoint = ((6 + 12) ÷ 2, (28 + 44) ÷ 2) = (9, 36).

  11. 11. Find the midpoint of the line segment joining (18, 12) and (32, 32).

    (25, 22)

    Midpoint = ((18 + 32) ÷ 2, (12 + 32) ÷ 2) = (25, 22).

  12. 12. Find the midpoint of the line segment joining (16, 14) and (24, 20).

    (20, 17)

    Midpoint = ((16 + 24) ÷ 2, (14 + 20) ÷ 2) = (20, 17).

12 questions · Seed 44 · Age guidance, not curriculum certification