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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 (12, 8) and (32, 20).

    12 · 8 · 32 · 20 · Midpoint of a line segment

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

    14 · 12 · 20 · 24 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (22, 12) and (38, 32).

    22 · 12 · 38 · 32 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (28, 28) and (44, 36).

    28 · 28 · 44 · 36 · Midpoint of a line segment

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

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

  6. 6. Find the midpoint of the line segment joining (20, 2) and (40, 4).

    20 · 2 · 40 · 4 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (32, 20) and (46, 28).

    32 · 20 · 46 · 28 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 4) and (42, 16).

    26 · 4 · 42 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (30, 20) and (46, 22).

    30 · 20 · 46 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (18, 32) and (20, 50).

    18 · 32 · 20 · 50 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (20, 4) and (38, 14).

    20 · 4 · 38 · 14 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 12) and (20, 32).

    16 · 12 · 20 · 32 · Midpoint of a line segment
12 questions · Seed 45 · 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 (12, 8) and (32, 20).

    (22, 14)

    Midpoint = ((12 + 32) ÷ 2, (8 + 20) ÷ 2) = (22, 14).

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

    (17, 18)

    Midpoint = ((14 + 20) ÷ 2, (12 + 24) ÷ 2) = (17, 18).

  3. 3. Find the midpoint of the line segment joining (22, 12) and (38, 32).

    (30, 22)

    Midpoint = ((22 + 38) ÷ 2, (12 + 32) ÷ 2) = (30, 22).

  4. 4. Find the midpoint of the line segment joining (28, 28) and (44, 36).

    (36, 32)

    Midpoint = ((28 + 44) ÷ 2, (28 + 36) ÷ 2) = (36, 32).

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

    (11, 13)

    Midpoint = ((10 + 12) ÷ 2, (12 + 14) ÷ 2) = (11, 13).

  6. 6. Find the midpoint of the line segment joining (20, 2) and (40, 4).

    (30, 3)

    Midpoint = ((20 + 40) ÷ 2, (2 + 4) ÷ 2) = (30, 3).

  7. 7. Find the midpoint of the line segment joining (32, 20) and (46, 28).

    (39, 24)

    Midpoint = ((32 + 46) ÷ 2, (20 + 28) ÷ 2) = (39, 24).

  8. 8. Find the midpoint of the line segment joining (26, 4) and (42, 16).

    (34, 10)

    Midpoint = ((26 + 42) ÷ 2, (4 + 16) ÷ 2) = (34, 10).

  9. 9. Find the midpoint of the line segment joining (30, 20) and (46, 22).

    (38, 21)

    Midpoint = ((30 + 46) ÷ 2, (20 + 22) ÷ 2) = (38, 21).

  10. 10. Find the midpoint of the line segment joining (18, 32) and (20, 50).

    (19, 41)

    Midpoint = ((18 + 20) ÷ 2, (32 + 50) ÷ 2) = (19, 41).

  11. 11. Find the midpoint of the line segment joining (20, 4) and (38, 14).

    (29, 9)

    Midpoint = ((20 + 38) ÷ 2, (4 + 14) ÷ 2) = (29, 9).

  12. 12. Find the midpoint of the line segment joining (16, 12) and (20, 32).

    (18, 22)

    Midpoint = ((16 + 20) ÷ 2, (12 + 32) ÷ 2) = (18, 22).

12 questions · Seed 45 · 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 (12, 8) and (32, 20).

    12 · 8 · 32 · 20 · Midpoint of a line segment

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

    14 · 12 · 20 · 24 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (22, 12) and (38, 32).

    22 · 12 · 38 · 32 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (28, 28) and (44, 36).

    28 · 28 · 44 · 36 · Midpoint of a line segment

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

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

  6. 6. Find the midpoint of the line segment joining (20, 2) and (40, 4).

    20 · 2 · 40 · 4 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (32, 20) and (46, 28).

    32 · 20 · 46 · 28 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (26, 4) and (42, 16).

    26 · 4 · 42 · 16 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (30, 20) and (46, 22).

    30 · 20 · 46 · 22 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (18, 32) and (20, 50).

    18 · 32 · 20 · 50 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (20, 4) and (38, 14).

    20 · 4 · 38 · 14 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (16, 12) and (20, 32).

    16 · 12 · 20 · 32 · Midpoint of a line segment
12 questions · Seed 45 · 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 (12, 8) and (32, 20).

    (22, 14)

    Midpoint = ((12 + 32) ÷ 2, (8 + 20) ÷ 2) = (22, 14).

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

    (17, 18)

    Midpoint = ((14 + 20) ÷ 2, (12 + 24) ÷ 2) = (17, 18).

  3. 3. Find the midpoint of the line segment joining (22, 12) and (38, 32).

    (30, 22)

    Midpoint = ((22 + 38) ÷ 2, (12 + 32) ÷ 2) = (30, 22).

  4. 4. Find the midpoint of the line segment joining (28, 28) and (44, 36).

    (36, 32)

    Midpoint = ((28 + 44) ÷ 2, (28 + 36) ÷ 2) = (36, 32).

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

    (11, 13)

    Midpoint = ((10 + 12) ÷ 2, (12 + 14) ÷ 2) = (11, 13).

  6. 6. Find the midpoint of the line segment joining (20, 2) and (40, 4).

    (30, 3)

    Midpoint = ((20 + 40) ÷ 2, (2 + 4) ÷ 2) = (30, 3).

  7. 7. Find the midpoint of the line segment joining (32, 20) and (46, 28).

    (39, 24)

    Midpoint = ((32 + 46) ÷ 2, (20 + 28) ÷ 2) = (39, 24).

  8. 8. Find the midpoint of the line segment joining (26, 4) and (42, 16).

    (34, 10)

    Midpoint = ((26 + 42) ÷ 2, (4 + 16) ÷ 2) = (34, 10).

  9. 9. Find the midpoint of the line segment joining (30, 20) and (46, 22).

    (38, 21)

    Midpoint = ((30 + 46) ÷ 2, (20 + 22) ÷ 2) = (38, 21).

  10. 10. Find the midpoint of the line segment joining (18, 32) and (20, 50).

    (19, 41)

    Midpoint = ((18 + 20) ÷ 2, (32 + 50) ÷ 2) = (19, 41).

  11. 11. Find the midpoint of the line segment joining (20, 4) and (38, 14).

    (29, 9)

    Midpoint = ((20 + 38) ÷ 2, (4 + 14) ÷ 2) = (29, 9).

  12. 12. Find the midpoint of the line segment joining (16, 12) and (20, 32).

    (18, 22)

    Midpoint = ((16 + 20) ÷ 2, (12 + 32) ÷ 2) = (18, 22).

12 questions · Seed 45 · Age guidance, not curriculum certification