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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 (20, 18) and (28, 38).

    20 · 18 · 28 · 38 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 4) and (38, 6).

    18 · 4 · 38 · 6 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 4) and (32, 12).

    24 · 4 · 32 · 12 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (12, 30) and (30, 44).

    12 · 30 · 30 · 44 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (20, 2) and (36, 12).

    20 · 2 · 36 · 12 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 26) and (40, 46).

    30 · 26 · 40 · 46 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (2, 22) and (16, 40).

    2 · 22 · 16 · 40 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (6, 22) and (20, 40).

    6 · 22 · 20 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (22, 18) and (32, 34).

    22 · 18 · 32 · 34 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 4) and (24, 12).

    6 · 4 · 24 · 12 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 14) and (24, 32).

    12 · 14 · 24 · 32 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (30, 18) and (50, 26).

    30 · 18 · 50 · 26 · Midpoint of a line segment
12 questions · Seed 104746 · 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 (20, 18) and (28, 38).

    (24, 28)

    Midpoint = ((20 + 28) ÷ 2, (18 + 38) ÷ 2) = (24, 28).

  2. 2. Find the midpoint of the line segment joining (18, 4) and (38, 6).

    (28, 5)

    Midpoint = ((18 + 38) ÷ 2, (4 + 6) ÷ 2) = (28, 5).

  3. 3. Find the midpoint of the line segment joining (24, 4) and (32, 12).

    (28, 8)

    Midpoint = ((24 + 32) ÷ 2, (4 + 12) ÷ 2) = (28, 8).

  4. 4. Find the midpoint of the line segment joining (12, 30) and (30, 44).

    (21, 37)

    Midpoint = ((12 + 30) ÷ 2, (30 + 44) ÷ 2) = (21, 37).

  5. 5. Find the midpoint of the line segment joining (20, 2) and (36, 12).

    (28, 7)

    Midpoint = ((20 + 36) ÷ 2, (2 + 12) ÷ 2) = (28, 7).

  6. 6. Find the midpoint of the line segment joining (30, 26) and (40, 46).

    (35, 36)

    Midpoint = ((30 + 40) ÷ 2, (26 + 46) ÷ 2) = (35, 36).

  7. 7. Find the midpoint of the line segment joining (2, 22) and (16, 40).

    (9, 31)

    Midpoint = ((2 + 16) ÷ 2, (22 + 40) ÷ 2) = (9, 31).

  8. 8. Find the midpoint of the line segment joining (6, 22) and (20, 40).

    (13, 31)

    Midpoint = ((6 + 20) ÷ 2, (22 + 40) ÷ 2) = (13, 31).

  9. 9. Find the midpoint of the line segment joining (22, 18) and (32, 34).

    (27, 26)

    Midpoint = ((22 + 32) ÷ 2, (18 + 34) ÷ 2) = (27, 26).

  10. 10. Find the midpoint of the line segment joining (6, 4) and (24, 12).

    (15, 8)

    Midpoint = ((6 + 24) ÷ 2, (4 + 12) ÷ 2) = (15, 8).

  11. 11. Find the midpoint of the line segment joining (12, 14) and (24, 32).

    (18, 23)

    Midpoint = ((12 + 24) ÷ 2, (14 + 32) ÷ 2) = (18, 23).

  12. 12. Find the midpoint of the line segment joining (30, 18) and (50, 26).

    (40, 22)

    Midpoint = ((30 + 50) ÷ 2, (18 + 26) ÷ 2) = (40, 22).

12 questions · Seed 104746 · 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 (20, 18) and (28, 38).

    20 · 18 · 28 · 38 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 4) and (38, 6).

    18 · 4 · 38 · 6 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 4) and (32, 12).

    24 · 4 · 32 · 12 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (12, 30) and (30, 44).

    12 · 30 · 30 · 44 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (20, 2) and (36, 12).

    20 · 2 · 36 · 12 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 26) and (40, 46).

    30 · 26 · 40 · 46 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (2, 22) and (16, 40).

    2 · 22 · 16 · 40 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (6, 22) and (20, 40).

    6 · 22 · 20 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (22, 18) and (32, 34).

    22 · 18 · 32 · 34 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (6, 4) and (24, 12).

    6 · 4 · 24 · 12 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 14) and (24, 32).

    12 · 14 · 24 · 32 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (30, 18) and (50, 26).

    30 · 18 · 50 · 26 · Midpoint of a line segment
12 questions · Seed 104746 · 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 (20, 18) and (28, 38).

    (24, 28)

    Midpoint = ((20 + 28) ÷ 2, (18 + 38) ÷ 2) = (24, 28).

  2. 2. Find the midpoint of the line segment joining (18, 4) and (38, 6).

    (28, 5)

    Midpoint = ((18 + 38) ÷ 2, (4 + 6) ÷ 2) = (28, 5).

  3. 3. Find the midpoint of the line segment joining (24, 4) and (32, 12).

    (28, 8)

    Midpoint = ((24 + 32) ÷ 2, (4 + 12) ÷ 2) = (28, 8).

  4. 4. Find the midpoint of the line segment joining (12, 30) and (30, 44).

    (21, 37)

    Midpoint = ((12 + 30) ÷ 2, (30 + 44) ÷ 2) = (21, 37).

  5. 5. Find the midpoint of the line segment joining (20, 2) and (36, 12).

    (28, 7)

    Midpoint = ((20 + 36) ÷ 2, (2 + 12) ÷ 2) = (28, 7).

  6. 6. Find the midpoint of the line segment joining (30, 26) and (40, 46).

    (35, 36)

    Midpoint = ((30 + 40) ÷ 2, (26 + 46) ÷ 2) = (35, 36).

  7. 7. Find the midpoint of the line segment joining (2, 22) and (16, 40).

    (9, 31)

    Midpoint = ((2 + 16) ÷ 2, (22 + 40) ÷ 2) = (9, 31).

  8. 8. Find the midpoint of the line segment joining (6, 22) and (20, 40).

    (13, 31)

    Midpoint = ((6 + 20) ÷ 2, (22 + 40) ÷ 2) = (13, 31).

  9. 9. Find the midpoint of the line segment joining (22, 18) and (32, 34).

    (27, 26)

    Midpoint = ((22 + 32) ÷ 2, (18 + 34) ÷ 2) = (27, 26).

  10. 10. Find the midpoint of the line segment joining (6, 4) and (24, 12).

    (15, 8)

    Midpoint = ((6 + 24) ÷ 2, (4 + 12) ÷ 2) = (15, 8).

  11. 11. Find the midpoint of the line segment joining (12, 14) and (24, 32).

    (18, 23)

    Midpoint = ((12 + 24) ÷ 2, (14 + 32) ÷ 2) = (18, 23).

  12. 12. Find the midpoint of the line segment joining (30, 18) and (50, 26).

    (40, 22)

    Midpoint = ((30 + 50) ÷ 2, (18 + 26) ÷ 2) = (40, 22).

12 questions · Seed 104746 · Age guidance, not curriculum certification