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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 (28, 8) and (32, 10).

    28 · 8 · 32 · 10 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (16, 30) and (28, 34).

    16 · 30 · 28 · 34 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (26, 26) and (28, 44).

    26 · 26 · 28 · 44 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (16, 2) and (28, 4).

    16 · 2 · 28 · 4 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (10, 32) and (28, 42).

    10 · 32 · 28 · 42 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 16) and (46, 20).

    32 · 16 · 46 · 20 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 20) and (44, 38).

    24 · 20 · 44 · 38 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 24) and (28, 36).

    26 · 24 · 28 · 36 · Midpoint of a line segment

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

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

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

    10 · 4 · 12 · 6 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 2) and (30, 22).

    28 · 2 · 30 · 22 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 24) and (36, 38).

    28 · 24 · 36 · 38 · Midpoint of a line segment
12 questions · Seed 104738 · 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 (28, 8) and (32, 10).

    (30, 9)

    Midpoint = ((28 + 32) ÷ 2, (8 + 10) ÷ 2) = (30, 9).

  2. 2. Find the midpoint of the line segment joining (16, 30) and (28, 34).

    (22, 32)

    Midpoint = ((16 + 28) ÷ 2, (30 + 34) ÷ 2) = (22, 32).

  3. 3. Find the midpoint of the line segment joining (26, 26) and (28, 44).

    (27, 35)

    Midpoint = ((26 + 28) ÷ 2, (26 + 44) ÷ 2) = (27, 35).

  4. 4. Find the midpoint of the line segment joining (16, 2) and (28, 4).

    (22, 3)

    Midpoint = ((16 + 28) ÷ 2, (2 + 4) ÷ 2) = (22, 3).

  5. 5. Find the midpoint of the line segment joining (10, 32) and (28, 42).

    (19, 37)

    Midpoint = ((10 + 28) ÷ 2, (32 + 42) ÷ 2) = (19, 37).

  6. 6. Find the midpoint of the line segment joining (32, 16) and (46, 20).

    (39, 18)

    Midpoint = ((32 + 46) ÷ 2, (16 + 20) ÷ 2) = (39, 18).

  7. 7. Find the midpoint of the line segment joining (24, 20) and (44, 38).

    (34, 29)

    Midpoint = ((24 + 44) ÷ 2, (20 + 38) ÷ 2) = (34, 29).

  8. 8. Find the midpoint of the line segment joining (26, 24) and (28, 36).

    (27, 30)

    Midpoint = ((26 + 28) ÷ 2, (24 + 36) ÷ 2) = (27, 30).

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

    (23, 19)

    Midpoint = ((14 + 32) ÷ 2, (14 + 24) ÷ 2) = (23, 19).

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

    (11, 5)

    Midpoint = ((10 + 12) ÷ 2, (4 + 6) ÷ 2) = (11, 5).

  11. 11. Find the midpoint of the line segment joining (28, 2) and (30, 22).

    (29, 12)

    Midpoint = ((28 + 30) ÷ 2, (2 + 22) ÷ 2) = (29, 12).

  12. 12. Find the midpoint of the line segment joining (28, 24) and (36, 38).

    (32, 31)

    Midpoint = ((28 + 36) ÷ 2, (24 + 38) ÷ 2) = (32, 31).

12 questions · Seed 104738 · 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 (28, 8) and (32, 10).

    28 · 8 · 32 · 10 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (16, 30) and (28, 34).

    16 · 30 · 28 · 34 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (26, 26) and (28, 44).

    26 · 26 · 28 · 44 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (16, 2) and (28, 4).

    16 · 2 · 28 · 4 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (10, 32) and (28, 42).

    10 · 32 · 28 · 42 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 16) and (46, 20).

    32 · 16 · 46 · 20 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 20) and (44, 38).

    24 · 20 · 44 · 38 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 24) and (28, 36).

    26 · 24 · 28 · 36 · Midpoint of a line segment

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

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

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

    10 · 4 · 12 · 6 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (28, 2) and (30, 22).

    28 · 2 · 30 · 22 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 24) and (36, 38).

    28 · 24 · 36 · 38 · Midpoint of a line segment
12 questions · Seed 104738 · 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 (28, 8) and (32, 10).

    (30, 9)

    Midpoint = ((28 + 32) ÷ 2, (8 + 10) ÷ 2) = (30, 9).

  2. 2. Find the midpoint of the line segment joining (16, 30) and (28, 34).

    (22, 32)

    Midpoint = ((16 + 28) ÷ 2, (30 + 34) ÷ 2) = (22, 32).

  3. 3. Find the midpoint of the line segment joining (26, 26) and (28, 44).

    (27, 35)

    Midpoint = ((26 + 28) ÷ 2, (26 + 44) ÷ 2) = (27, 35).

  4. 4. Find the midpoint of the line segment joining (16, 2) and (28, 4).

    (22, 3)

    Midpoint = ((16 + 28) ÷ 2, (2 + 4) ÷ 2) = (22, 3).

  5. 5. Find the midpoint of the line segment joining (10, 32) and (28, 42).

    (19, 37)

    Midpoint = ((10 + 28) ÷ 2, (32 + 42) ÷ 2) = (19, 37).

  6. 6. Find the midpoint of the line segment joining (32, 16) and (46, 20).

    (39, 18)

    Midpoint = ((32 + 46) ÷ 2, (16 + 20) ÷ 2) = (39, 18).

  7. 7. Find the midpoint of the line segment joining (24, 20) and (44, 38).

    (34, 29)

    Midpoint = ((24 + 44) ÷ 2, (20 + 38) ÷ 2) = (34, 29).

  8. 8. Find the midpoint of the line segment joining (26, 24) and (28, 36).

    (27, 30)

    Midpoint = ((26 + 28) ÷ 2, (24 + 36) ÷ 2) = (27, 30).

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

    (23, 19)

    Midpoint = ((14 + 32) ÷ 2, (14 + 24) ÷ 2) = (23, 19).

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

    (11, 5)

    Midpoint = ((10 + 12) ÷ 2, (4 + 6) ÷ 2) = (11, 5).

  11. 11. Find the midpoint of the line segment joining (28, 2) and (30, 22).

    (29, 12)

    Midpoint = ((28 + 30) ÷ 2, (2 + 22) ÷ 2) = (29, 12).

  12. 12. Find the midpoint of the line segment joining (28, 24) and (36, 38).

    (32, 31)

    Midpoint = ((28 + 36) ÷ 2, (24 + 38) ÷ 2) = (32, 31).

12 questions · Seed 104738 · Age guidance, not curriculum certification