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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 (30, 26) and (42, 28).

    30 · 26 · 42 · 28 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 8) and (38, 10).

    18 · 8 · 38 · 10 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (2, 28) and (12, 44).

    2 · 28 · 12 · 44 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (28, 30) and (42, 40).

    28 · 30 · 42 · 40 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (8, 8) and (20, 16).

    8 · 8 · 20 · 16 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (28, 12) and (38, 22).

    28 · 12 · 38 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (20, 12) and (24, 26).

    20 · 12 · 24 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (30, 30) and (48, 40).

    30 · 30 · 48 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 2) and (50, 22).

    32 · 2 · 50 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 26) and (10, 32).

    4 · 26 · 10 · 32 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (6, 16) and (8, 20).

    6 · 16 · 8 · 20 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (24, 26) and (40, 36).

    24 · 26 · 40 · 36 · Midpoint of a line segment
12 questions · Seed 104737 · 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 (30, 26) and (42, 28).

    (36, 27)

    Midpoint = ((30 + 42) ÷ 2, (26 + 28) ÷ 2) = (36, 27).

  2. 2. Find the midpoint of the line segment joining (18, 8) and (38, 10).

    (28, 9)

    Midpoint = ((18 + 38) ÷ 2, (8 + 10) ÷ 2) = (28, 9).

  3. 3. Find the midpoint of the line segment joining (2, 28) and (12, 44).

    (7, 36)

    Midpoint = ((2 + 12) ÷ 2, (28 + 44) ÷ 2) = (7, 36).

  4. 4. Find the midpoint of the line segment joining (28, 30) and (42, 40).

    (35, 35)

    Midpoint = ((28 + 42) ÷ 2, (30 + 40) ÷ 2) = (35, 35).

  5. 5. Find the midpoint of the line segment joining (8, 8) and (20, 16).

    (14, 12)

    Midpoint = ((8 + 20) ÷ 2, (8 + 16) ÷ 2) = (14, 12).

  6. 6. Find the midpoint of the line segment joining (28, 12) and (38, 22).

    (33, 17)

    Midpoint = ((28 + 38) ÷ 2, (12 + 22) ÷ 2) = (33, 17).

  7. 7. Find the midpoint of the line segment joining (20, 12) and (24, 26).

    (22, 19)

    Midpoint = ((20 + 24) ÷ 2, (12 + 26) ÷ 2) = (22, 19).

  8. 8. Find the midpoint of the line segment joining (30, 30) and (48, 40).

    (39, 35)

    Midpoint = ((30 + 48) ÷ 2, (30 + 40) ÷ 2) = (39, 35).

  9. 9. Find the midpoint of the line segment joining (32, 2) and (50, 22).

    (41, 12)

    Midpoint = ((32 + 50) ÷ 2, (2 + 22) ÷ 2) = (41, 12).

  10. 10. Find the midpoint of the line segment joining (4, 26) and (10, 32).

    (7, 29)

    Midpoint = ((4 + 10) ÷ 2, (26 + 32) ÷ 2) = (7, 29).

  11. 11. Find the midpoint of the line segment joining (6, 16) and (8, 20).

    (7, 18)

    Midpoint = ((6 + 8) ÷ 2, (16 + 20) ÷ 2) = (7, 18).

  12. 12. Find the midpoint of the line segment joining (24, 26) and (40, 36).

    (32, 31)

    Midpoint = ((24 + 40) ÷ 2, (26 + 36) ÷ 2) = (32, 31).

12 questions · Seed 104737 · 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 (30, 26) and (42, 28).

    30 · 26 · 42 · 28 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 8) and (38, 10).

    18 · 8 · 38 · 10 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (2, 28) and (12, 44).

    2 · 28 · 12 · 44 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (28, 30) and (42, 40).

    28 · 30 · 42 · 40 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (8, 8) and (20, 16).

    8 · 8 · 20 · 16 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (28, 12) and (38, 22).

    28 · 12 · 38 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (20, 12) and (24, 26).

    20 · 12 · 24 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (30, 30) and (48, 40).

    30 · 30 · 48 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 2) and (50, 22).

    32 · 2 · 50 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (4, 26) and (10, 32).

    4 · 26 · 10 · 32 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (6, 16) and (8, 20).

    6 · 16 · 8 · 20 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (24, 26) and (40, 36).

    24 · 26 · 40 · 36 · Midpoint of a line segment
12 questions · Seed 104737 · 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 (30, 26) and (42, 28).

    (36, 27)

    Midpoint = ((30 + 42) ÷ 2, (26 + 28) ÷ 2) = (36, 27).

  2. 2. Find the midpoint of the line segment joining (18, 8) and (38, 10).

    (28, 9)

    Midpoint = ((18 + 38) ÷ 2, (8 + 10) ÷ 2) = (28, 9).

  3. 3. Find the midpoint of the line segment joining (2, 28) and (12, 44).

    (7, 36)

    Midpoint = ((2 + 12) ÷ 2, (28 + 44) ÷ 2) = (7, 36).

  4. 4. Find the midpoint of the line segment joining (28, 30) and (42, 40).

    (35, 35)

    Midpoint = ((28 + 42) ÷ 2, (30 + 40) ÷ 2) = (35, 35).

  5. 5. Find the midpoint of the line segment joining (8, 8) and (20, 16).

    (14, 12)

    Midpoint = ((8 + 20) ÷ 2, (8 + 16) ÷ 2) = (14, 12).

  6. 6. Find the midpoint of the line segment joining (28, 12) and (38, 22).

    (33, 17)

    Midpoint = ((28 + 38) ÷ 2, (12 + 22) ÷ 2) = (33, 17).

  7. 7. Find the midpoint of the line segment joining (20, 12) and (24, 26).

    (22, 19)

    Midpoint = ((20 + 24) ÷ 2, (12 + 26) ÷ 2) = (22, 19).

  8. 8. Find the midpoint of the line segment joining (30, 30) and (48, 40).

    (39, 35)

    Midpoint = ((30 + 48) ÷ 2, (30 + 40) ÷ 2) = (39, 35).

  9. 9. Find the midpoint of the line segment joining (32, 2) and (50, 22).

    (41, 12)

    Midpoint = ((32 + 50) ÷ 2, (2 + 22) ÷ 2) = (41, 12).

  10. 10. Find the midpoint of the line segment joining (4, 26) and (10, 32).

    (7, 29)

    Midpoint = ((4 + 10) ÷ 2, (26 + 32) ÷ 2) = (7, 29).

  11. 11. Find the midpoint of the line segment joining (6, 16) and (8, 20).

    (7, 18)

    Midpoint = ((6 + 8) ÷ 2, (16 + 20) ÷ 2) = (7, 18).

  12. 12. Find the midpoint of the line segment joining (24, 26) and (40, 36).

    (32, 31)

    Midpoint = ((24 + 40) ÷ 2, (26 + 36) ÷ 2) = (32, 31).

12 questions · Seed 104737 · Age guidance, not curriculum certification