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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, 22) and (32, 36).

    12 · 22 · 32 · 36 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 10) and (36, 30).

    18 · 10 · 36 · 30 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 10) and (18, 26).

    16 · 10 · 18 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (30, 32) and (40, 50).

    30 · 32 · 40 · 50 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (10, 8) and (26, 26).

    10 · 8 · 26 · 26 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 8) and (46, 28).

    30 · 8 · 46 · 28 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (22, 16) and (32, 26).

    22 · 16 · 32 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 20) and (20, 36).

    10 · 20 · 20 · 36 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (10, 20) and (18, 26).

    10 · 20 · 18 · 26 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (32, 6) and (40, 18).

    32 · 6 · 40 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (14, 18) and (28, 36).

    14 · 18 · 28 · 36 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 8) and (30, 10).

    28 · 8 · 30 · 10 · Midpoint of a line segment
12 questions · Seed 104741 · 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, 22) and (32, 36).

    (22, 29)

    Midpoint = ((12 + 32) ÷ 2, (22 + 36) ÷ 2) = (22, 29).

  2. 2. Find the midpoint of the line segment joining (18, 10) and (36, 30).

    (27, 20)

    Midpoint = ((18 + 36) ÷ 2, (10 + 30) ÷ 2) = (27, 20).

  3. 3. Find the midpoint of the line segment joining (16, 10) and (18, 26).

    (17, 18)

    Midpoint = ((16 + 18) ÷ 2, (10 + 26) ÷ 2) = (17, 18).

  4. 4. Find the midpoint of the line segment joining (30, 32) and (40, 50).

    (35, 41)

    Midpoint = ((30 + 40) ÷ 2, (32 + 50) ÷ 2) = (35, 41).

  5. 5. Find the midpoint of the line segment joining (10, 8) and (26, 26).

    (18, 17)

    Midpoint = ((10 + 26) ÷ 2, (8 + 26) ÷ 2) = (18, 17).

  6. 6. Find the midpoint of the line segment joining (30, 8) and (46, 28).

    (38, 18)

    Midpoint = ((30 + 46) ÷ 2, (8 + 28) ÷ 2) = (38, 18).

  7. 7. Find the midpoint of the line segment joining (22, 16) and (32, 26).

    (27, 21)

    Midpoint = ((22 + 32) ÷ 2, (16 + 26) ÷ 2) = (27, 21).

  8. 8. Find the midpoint of the line segment joining (10, 20) and (20, 36).

    (15, 28)

    Midpoint = ((10 + 20) ÷ 2, (20 + 36) ÷ 2) = (15, 28).

  9. 9. Find the midpoint of the line segment joining (10, 20) and (18, 26).

    (14, 23)

    Midpoint = ((10 + 18) ÷ 2, (20 + 26) ÷ 2) = (14, 23).

  10. 10. Find the midpoint of the line segment joining (32, 6) and (40, 18).

    (36, 12)

    Midpoint = ((32 + 40) ÷ 2, (6 + 18) ÷ 2) = (36, 12).

  11. 11. Find the midpoint of the line segment joining (14, 18) and (28, 36).

    (21, 27)

    Midpoint = ((14 + 28) ÷ 2, (18 + 36) ÷ 2) = (21, 27).

  12. 12. Find the midpoint of the line segment joining (28, 8) and (30, 10).

    (29, 9)

    Midpoint = ((28 + 30) ÷ 2, (8 + 10) ÷ 2) = (29, 9).

12 questions · Seed 104741 · 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, 22) and (32, 36).

    12 · 22 · 32 · 36 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (18, 10) and (36, 30).

    18 · 10 · 36 · 30 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 10) and (18, 26).

    16 · 10 · 18 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (30, 32) and (40, 50).

    30 · 32 · 40 · 50 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (10, 8) and (26, 26).

    10 · 8 · 26 · 26 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (30, 8) and (46, 28).

    30 · 8 · 46 · 28 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (22, 16) and (32, 26).

    22 · 16 · 32 · 26 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (10, 20) and (20, 36).

    10 · 20 · 20 · 36 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (10, 20) and (18, 26).

    10 · 20 · 18 · 26 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (32, 6) and (40, 18).

    32 · 6 · 40 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (14, 18) and (28, 36).

    14 · 18 · 28 · 36 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 8) and (30, 10).

    28 · 8 · 30 · 10 · Midpoint of a line segment
12 questions · Seed 104741 · 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, 22) and (32, 36).

    (22, 29)

    Midpoint = ((12 + 32) ÷ 2, (22 + 36) ÷ 2) = (22, 29).

  2. 2. Find the midpoint of the line segment joining (18, 10) and (36, 30).

    (27, 20)

    Midpoint = ((18 + 36) ÷ 2, (10 + 30) ÷ 2) = (27, 20).

  3. 3. Find the midpoint of the line segment joining (16, 10) and (18, 26).

    (17, 18)

    Midpoint = ((16 + 18) ÷ 2, (10 + 26) ÷ 2) = (17, 18).

  4. 4. Find the midpoint of the line segment joining (30, 32) and (40, 50).

    (35, 41)

    Midpoint = ((30 + 40) ÷ 2, (32 + 50) ÷ 2) = (35, 41).

  5. 5. Find the midpoint of the line segment joining (10, 8) and (26, 26).

    (18, 17)

    Midpoint = ((10 + 26) ÷ 2, (8 + 26) ÷ 2) = (18, 17).

  6. 6. Find the midpoint of the line segment joining (30, 8) and (46, 28).

    (38, 18)

    Midpoint = ((30 + 46) ÷ 2, (8 + 28) ÷ 2) = (38, 18).

  7. 7. Find the midpoint of the line segment joining (22, 16) and (32, 26).

    (27, 21)

    Midpoint = ((22 + 32) ÷ 2, (16 + 26) ÷ 2) = (27, 21).

  8. 8. Find the midpoint of the line segment joining (10, 20) and (20, 36).

    (15, 28)

    Midpoint = ((10 + 20) ÷ 2, (20 + 36) ÷ 2) = (15, 28).

  9. 9. Find the midpoint of the line segment joining (10, 20) and (18, 26).

    (14, 23)

    Midpoint = ((10 + 18) ÷ 2, (20 + 26) ÷ 2) = (14, 23).

  10. 10. Find the midpoint of the line segment joining (32, 6) and (40, 18).

    (36, 12)

    Midpoint = ((32 + 40) ÷ 2, (6 + 18) ÷ 2) = (36, 12).

  11. 11. Find the midpoint of the line segment joining (14, 18) and (28, 36).

    (21, 27)

    Midpoint = ((14 + 28) ÷ 2, (18 + 36) ÷ 2) = (21, 27).

  12. 12. Find the midpoint of the line segment joining (28, 8) and (30, 10).

    (29, 9)

    Midpoint = ((28 + 30) ÷ 2, (8 + 10) ÷ 2) = (29, 9).

12 questions · Seed 104741 · Age guidance, not curriculum certification