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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 (14, 8) and (16, 16).

    14 · 8 · 16 · 16 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (12, 8) and (14, 22).

    12 · 8 · 14 · 22 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 22) and (28, 40).

    16 · 22 · 28 · 40 · Midpoint of a line segment

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

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

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 22).

    14 · 18 · 30 · 22 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 26) and (8, 38).

    2 · 26 · 8 · 38 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (6, 24) and (22, 30).

    6 · 24 · 22 · 30 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 4) and (18, 22).

    10 · 4 · 18 · 22 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (18, 12) and (30, 16).

    18 · 12 · 30 · 16 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (24, 26) and (32, 36).

    24 · 26 · 32 · 36 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 8) and (18, 20).

    12 · 8 · 18 · 20 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (26, 32) and (40, 44).

    26 · 32 · 40 · 44 · Midpoint of a line segment
12 questions · Seed 104745 · 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 (14, 8) and (16, 16).

    (15, 12)

    Midpoint = ((14 + 16) ÷ 2, (8 + 16) ÷ 2) = (15, 12).

  2. 2. Find the midpoint of the line segment joining (12, 8) and (14, 22).

    (13, 15)

    Midpoint = ((12 + 14) ÷ 2, (8 + 22) ÷ 2) = (13, 15).

  3. 3. Find the midpoint of the line segment joining (16, 22) and (28, 40).

    (22, 31)

    Midpoint = ((16 + 28) ÷ 2, (22 + 40) ÷ 2) = (22, 31).

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

    (22, 17)

    Midpoint = ((20 + 24) ÷ 2, (14 + 20) ÷ 2) = (22, 17).

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 22).

    (22, 20)

    Midpoint = ((14 + 30) ÷ 2, (18 + 22) ÷ 2) = (22, 20).

  6. 6. Find the midpoint of the line segment joining (2, 26) and (8, 38).

    (5, 32)

    Midpoint = ((2 + 8) ÷ 2, (26 + 38) ÷ 2) = (5, 32).

  7. 7. Find the midpoint of the line segment joining (6, 24) and (22, 30).

    (14, 27)

    Midpoint = ((6 + 22) ÷ 2, (24 + 30) ÷ 2) = (14, 27).

  8. 8. Find the midpoint of the line segment joining (10, 4) and (18, 22).

    (14, 13)

    Midpoint = ((10 + 18) ÷ 2, (4 + 22) ÷ 2) = (14, 13).

  9. 9. Find the midpoint of the line segment joining (18, 12) and (30, 16).

    (24, 14)

    Midpoint = ((18 + 30) ÷ 2, (12 + 16) ÷ 2) = (24, 14).

  10. 10. Find the midpoint of the line segment joining (24, 26) and (32, 36).

    (28, 31)

    Midpoint = ((24 + 32) ÷ 2, (26 + 36) ÷ 2) = (28, 31).

  11. 11. Find the midpoint of the line segment joining (12, 8) and (18, 20).

    (15, 14)

    Midpoint = ((12 + 18) ÷ 2, (8 + 20) ÷ 2) = (15, 14).

  12. 12. Find the midpoint of the line segment joining (26, 32) and (40, 44).

    (33, 38)

    Midpoint = ((26 + 40) ÷ 2, (32 + 44) ÷ 2) = (33, 38).

12 questions · Seed 104745 · 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 (14, 8) and (16, 16).

    14 · 8 · 16 · 16 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (12, 8) and (14, 22).

    12 · 8 · 14 · 22 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 22) and (28, 40).

    16 · 22 · 28 · 40 · Midpoint of a line segment

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

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

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 22).

    14 · 18 · 30 · 22 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 26) and (8, 38).

    2 · 26 · 8 · 38 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (6, 24) and (22, 30).

    6 · 24 · 22 · 30 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 4) and (18, 22).

    10 · 4 · 18 · 22 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (18, 12) and (30, 16).

    18 · 12 · 30 · 16 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (24, 26) and (32, 36).

    24 · 26 · 32 · 36 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (12, 8) and (18, 20).

    12 · 8 · 18 · 20 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (26, 32) and (40, 44).

    26 · 32 · 40 · 44 · Midpoint of a line segment
12 questions · Seed 104745 · 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 (14, 8) and (16, 16).

    (15, 12)

    Midpoint = ((14 + 16) ÷ 2, (8 + 16) ÷ 2) = (15, 12).

  2. 2. Find the midpoint of the line segment joining (12, 8) and (14, 22).

    (13, 15)

    Midpoint = ((12 + 14) ÷ 2, (8 + 22) ÷ 2) = (13, 15).

  3. 3. Find the midpoint of the line segment joining (16, 22) and (28, 40).

    (22, 31)

    Midpoint = ((16 + 28) ÷ 2, (22 + 40) ÷ 2) = (22, 31).

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

    (22, 17)

    Midpoint = ((20 + 24) ÷ 2, (14 + 20) ÷ 2) = (22, 17).

  5. 5. Find the midpoint of the line segment joining (14, 18) and (30, 22).

    (22, 20)

    Midpoint = ((14 + 30) ÷ 2, (18 + 22) ÷ 2) = (22, 20).

  6. 6. Find the midpoint of the line segment joining (2, 26) and (8, 38).

    (5, 32)

    Midpoint = ((2 + 8) ÷ 2, (26 + 38) ÷ 2) = (5, 32).

  7. 7. Find the midpoint of the line segment joining (6, 24) and (22, 30).

    (14, 27)

    Midpoint = ((6 + 22) ÷ 2, (24 + 30) ÷ 2) = (14, 27).

  8. 8. Find the midpoint of the line segment joining (10, 4) and (18, 22).

    (14, 13)

    Midpoint = ((10 + 18) ÷ 2, (4 + 22) ÷ 2) = (14, 13).

  9. 9. Find the midpoint of the line segment joining (18, 12) and (30, 16).

    (24, 14)

    Midpoint = ((18 + 30) ÷ 2, (12 + 16) ÷ 2) = (24, 14).

  10. 10. Find the midpoint of the line segment joining (24, 26) and (32, 36).

    (28, 31)

    Midpoint = ((24 + 32) ÷ 2, (26 + 36) ÷ 2) = (28, 31).

  11. 11. Find the midpoint of the line segment joining (12, 8) and (18, 20).

    (15, 14)

    Midpoint = ((12 + 18) ÷ 2, (8 + 20) ÷ 2) = (15, 14).

  12. 12. Find the midpoint of the line segment joining (26, 32) and (40, 44).

    (33, 38)

    Midpoint = ((26 + 40) ÷ 2, (32 + 44) ÷ 2) = (33, 38).

12 questions · Seed 104745 · Age guidance, not curriculum certification