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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 (16, 26) and (20, 42).

    16 · 26 · 20 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (22, 20) and (32, 28).

    22 · 20 · 32 · 28 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 6) and (26, 26).

    24 · 6 · 26 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (24, 8) and (34, 26).

    24 · 8 · 34 · 26 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (12, 8) and (24, 18).

    12 · 8 · 24 · 18 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (26, 8) and (40, 28).

    26 · 8 · 40 · 28 · Midpoint of a line segment

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

    26 · 12 · 32 · 32 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (22, 30) and (34, 48).

    22 · 30 · 34 · 48 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (6, 28) and (22, 36).

    6 · 28 · 22 · 36 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 10) and (26, 22).

    14 · 10 · 26 · 22 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 12) and (28, 30).

    16 · 12 · 28 · 30 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (20, 30) and (34, 42).

    20 · 30 · 34 · 42 · Midpoint of a line segment
12 questions · Seed 104734 · 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 (16, 26) and (20, 42).

    (18, 34)

    Midpoint = ((16 + 20) ÷ 2, (26 + 42) ÷ 2) = (18, 34).

  2. 2. Find the midpoint of the line segment joining (22, 20) and (32, 28).

    (27, 24)

    Midpoint = ((22 + 32) ÷ 2, (20 + 28) ÷ 2) = (27, 24).

  3. 3. Find the midpoint of the line segment joining (24, 6) and (26, 26).

    (25, 16)

    Midpoint = ((24 + 26) ÷ 2, (6 + 26) ÷ 2) = (25, 16).

  4. 4. Find the midpoint of the line segment joining (24, 8) and (34, 26).

    (29, 17)

    Midpoint = ((24 + 34) ÷ 2, (8 + 26) ÷ 2) = (29, 17).

  5. 5. Find the midpoint of the line segment joining (12, 8) and (24, 18).

    (18, 13)

    Midpoint = ((12 + 24) ÷ 2, (8 + 18) ÷ 2) = (18, 13).

  6. 6. Find the midpoint of the line segment joining (26, 8) and (40, 28).

    (33, 18)

    Midpoint = ((26 + 40) ÷ 2, (8 + 28) ÷ 2) = (33, 18).

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

    (29, 22)

    Midpoint = ((26 + 32) ÷ 2, (12 + 32) ÷ 2) = (29, 22).

  8. 8. Find the midpoint of the line segment joining (22, 30) and (34, 48).

    (28, 39)

    Midpoint = ((22 + 34) ÷ 2, (30 + 48) ÷ 2) = (28, 39).

  9. 9. Find the midpoint of the line segment joining (6, 28) and (22, 36).

    (14, 32)

    Midpoint = ((6 + 22) ÷ 2, (28 + 36) ÷ 2) = (14, 32).

  10. 10. Find the midpoint of the line segment joining (14, 10) and (26, 22).

    (20, 16)

    Midpoint = ((14 + 26) ÷ 2, (10 + 22) ÷ 2) = (20, 16).

  11. 11. Find the midpoint of the line segment joining (16, 12) and (28, 30).

    (22, 21)

    Midpoint = ((16 + 28) ÷ 2, (12 + 30) ÷ 2) = (22, 21).

  12. 12. Find the midpoint of the line segment joining (20, 30) and (34, 42).

    (27, 36)

    Midpoint = ((20 + 34) ÷ 2, (30 + 42) ÷ 2) = (27, 36).

12 questions · Seed 104734 · 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 (16, 26) and (20, 42).

    16 · 26 · 20 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (22, 20) and (32, 28).

    22 · 20 · 32 · 28 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (24, 6) and (26, 26).

    24 · 6 · 26 · 26 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (24, 8) and (34, 26).

    24 · 8 · 34 · 26 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (12, 8) and (24, 18).

    12 · 8 · 24 · 18 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (26, 8) and (40, 28).

    26 · 8 · 40 · 28 · Midpoint of a line segment

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

    26 · 12 · 32 · 32 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (22, 30) and (34, 48).

    22 · 30 · 34 · 48 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (6, 28) and (22, 36).

    6 · 28 · 22 · 36 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 10) and (26, 22).

    14 · 10 · 26 · 22 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 12) and (28, 30).

    16 · 12 · 28 · 30 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (20, 30) and (34, 42).

    20 · 30 · 34 · 42 · Midpoint of a line segment
12 questions · Seed 104734 · 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 (16, 26) and (20, 42).

    (18, 34)

    Midpoint = ((16 + 20) ÷ 2, (26 + 42) ÷ 2) = (18, 34).

  2. 2. Find the midpoint of the line segment joining (22, 20) and (32, 28).

    (27, 24)

    Midpoint = ((22 + 32) ÷ 2, (20 + 28) ÷ 2) = (27, 24).

  3. 3. Find the midpoint of the line segment joining (24, 6) and (26, 26).

    (25, 16)

    Midpoint = ((24 + 26) ÷ 2, (6 + 26) ÷ 2) = (25, 16).

  4. 4. Find the midpoint of the line segment joining (24, 8) and (34, 26).

    (29, 17)

    Midpoint = ((24 + 34) ÷ 2, (8 + 26) ÷ 2) = (29, 17).

  5. 5. Find the midpoint of the line segment joining (12, 8) and (24, 18).

    (18, 13)

    Midpoint = ((12 + 24) ÷ 2, (8 + 18) ÷ 2) = (18, 13).

  6. 6. Find the midpoint of the line segment joining (26, 8) and (40, 28).

    (33, 18)

    Midpoint = ((26 + 40) ÷ 2, (8 + 28) ÷ 2) = (33, 18).

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

    (29, 22)

    Midpoint = ((26 + 32) ÷ 2, (12 + 32) ÷ 2) = (29, 22).

  8. 8. Find the midpoint of the line segment joining (22, 30) and (34, 48).

    (28, 39)

    Midpoint = ((22 + 34) ÷ 2, (30 + 48) ÷ 2) = (28, 39).

  9. 9. Find the midpoint of the line segment joining (6, 28) and (22, 36).

    (14, 32)

    Midpoint = ((6 + 22) ÷ 2, (28 + 36) ÷ 2) = (14, 32).

  10. 10. Find the midpoint of the line segment joining (14, 10) and (26, 22).

    (20, 16)

    Midpoint = ((14 + 26) ÷ 2, (10 + 22) ÷ 2) = (20, 16).

  11. 11. Find the midpoint of the line segment joining (16, 12) and (28, 30).

    (22, 21)

    Midpoint = ((16 + 28) ÷ 2, (12 + 30) ÷ 2) = (22, 21).

  12. 12. Find the midpoint of the line segment joining (20, 30) and (34, 42).

    (27, 36)

    Midpoint = ((20 + 34) ÷ 2, (30 + 42) ÷ 2) = (27, 36).

12 questions · Seed 104734 · Age guidance, not curriculum certification