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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 (8, 26) and (12, 28).

    8 · 26 · 12 · 28 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (24, 2) and (34, 16).

    24 · 2 · 34 · 16 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 8) and (36, 28).

    16 · 8 · 36 · 28 · Midpoint of a line segment

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

    2 · 12 · 8 · 22 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (22, 16) and (28, 36).

    22 · 16 · 28 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 30) and (42, 44).

    32 · 30 · 42 · 44 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 8) and (28, 16).

    24 · 8 · 28 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (4, 26) and (24, 28).

    4 · 26 · 24 · 28 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (10, 30) and (20, 48).

    10 · 30 · 20 · 48 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (20, 6) and (24, 18).

    20 · 6 · 24 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 20) and (24, 40).

    16 · 20 · 24 · 40 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (4, 26) and (18, 44).

    4 · 26 · 18 · 44 · Midpoint of a line segment
12 questions · Seed 43 · 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 (8, 26) and (12, 28).

    (10, 27)

    Midpoint = ((8 + 12) ÷ 2, (26 + 28) ÷ 2) = (10, 27).

  2. 2. Find the midpoint of the line segment joining (24, 2) and (34, 16).

    (29, 9)

    Midpoint = ((24 + 34) ÷ 2, (2 + 16) ÷ 2) = (29, 9).

  3. 3. Find the midpoint of the line segment joining (16, 8) and (36, 28).

    (26, 18)

    Midpoint = ((16 + 36) ÷ 2, (8 + 28) ÷ 2) = (26, 18).

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

    (5, 17)

    Midpoint = ((2 + 8) ÷ 2, (12 + 22) ÷ 2) = (5, 17).

  5. 5. Find the midpoint of the line segment joining (22, 16) and (28, 36).

    (25, 26)

    Midpoint = ((22 + 28) ÷ 2, (16 + 36) ÷ 2) = (25, 26).

  6. 6. Find the midpoint of the line segment joining (32, 30) and (42, 44).

    (37, 37)

    Midpoint = ((32 + 42) ÷ 2, (30 + 44) ÷ 2) = (37, 37).

  7. 7. Find the midpoint of the line segment joining (24, 8) and (28, 16).

    (26, 12)

    Midpoint = ((24 + 28) ÷ 2, (8 + 16) ÷ 2) = (26, 12).

  8. 8. Find the midpoint of the line segment joining (4, 26) and (24, 28).

    (14, 27)

    Midpoint = ((4 + 24) ÷ 2, (26 + 28) ÷ 2) = (14, 27).

  9. 9. Find the midpoint of the line segment joining (10, 30) and (20, 48).

    (15, 39)

    Midpoint = ((10 + 20) ÷ 2, (30 + 48) ÷ 2) = (15, 39).

  10. 10. Find the midpoint of the line segment joining (20, 6) and (24, 18).

    (22, 12)

    Midpoint = ((20 + 24) ÷ 2, (6 + 18) ÷ 2) = (22, 12).

  11. 11. Find the midpoint of the line segment joining (16, 20) and (24, 40).

    (20, 30)

    Midpoint = ((16 + 24) ÷ 2, (20 + 40) ÷ 2) = (20, 30).

  12. 12. Find the midpoint of the line segment joining (4, 26) and (18, 44).

    (11, 35)

    Midpoint = ((4 + 18) ÷ 2, (26 + 44) ÷ 2) = (11, 35).

12 questions · Seed 43 · 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 (8, 26) and (12, 28).

    8 · 26 · 12 · 28 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (24, 2) and (34, 16).

    24 · 2 · 34 · 16 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (16, 8) and (36, 28).

    16 · 8 · 36 · 28 · Midpoint of a line segment

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

    2 · 12 · 8 · 22 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (22, 16) and (28, 36).

    22 · 16 · 28 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (32, 30) and (42, 44).

    32 · 30 · 42 · 44 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 8) and (28, 16).

    24 · 8 · 28 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (4, 26) and (24, 28).

    4 · 26 · 24 · 28 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (10, 30) and (20, 48).

    10 · 30 · 20 · 48 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (20, 6) and (24, 18).

    20 · 6 · 24 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (16, 20) and (24, 40).

    16 · 20 · 24 · 40 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (4, 26) and (18, 44).

    4 · 26 · 18 · 44 · Midpoint of a line segment
12 questions · Seed 43 · 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 (8, 26) and (12, 28).

    (10, 27)

    Midpoint = ((8 + 12) ÷ 2, (26 + 28) ÷ 2) = (10, 27).

  2. 2. Find the midpoint of the line segment joining (24, 2) and (34, 16).

    (29, 9)

    Midpoint = ((24 + 34) ÷ 2, (2 + 16) ÷ 2) = (29, 9).

  3. 3. Find the midpoint of the line segment joining (16, 8) and (36, 28).

    (26, 18)

    Midpoint = ((16 + 36) ÷ 2, (8 + 28) ÷ 2) = (26, 18).

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

    (5, 17)

    Midpoint = ((2 + 8) ÷ 2, (12 + 22) ÷ 2) = (5, 17).

  5. 5. Find the midpoint of the line segment joining (22, 16) and (28, 36).

    (25, 26)

    Midpoint = ((22 + 28) ÷ 2, (16 + 36) ÷ 2) = (25, 26).

  6. 6. Find the midpoint of the line segment joining (32, 30) and (42, 44).

    (37, 37)

    Midpoint = ((32 + 42) ÷ 2, (30 + 44) ÷ 2) = (37, 37).

  7. 7. Find the midpoint of the line segment joining (24, 8) and (28, 16).

    (26, 12)

    Midpoint = ((24 + 28) ÷ 2, (8 + 16) ÷ 2) = (26, 12).

  8. 8. Find the midpoint of the line segment joining (4, 26) and (24, 28).

    (14, 27)

    Midpoint = ((4 + 24) ÷ 2, (26 + 28) ÷ 2) = (14, 27).

  9. 9. Find the midpoint of the line segment joining (10, 30) and (20, 48).

    (15, 39)

    Midpoint = ((10 + 20) ÷ 2, (30 + 48) ÷ 2) = (15, 39).

  10. 10. Find the midpoint of the line segment joining (20, 6) and (24, 18).

    (22, 12)

    Midpoint = ((20 + 24) ÷ 2, (6 + 18) ÷ 2) = (22, 12).

  11. 11. Find the midpoint of the line segment joining (16, 20) and (24, 40).

    (20, 30)

    Midpoint = ((16 + 24) ÷ 2, (20 + 40) ÷ 2) = (20, 30).

  12. 12. Find the midpoint of the line segment joining (4, 26) and (18, 44).

    (11, 35)

    Midpoint = ((4 + 18) ÷ 2, (26 + 44) ÷ 2) = (11, 35).

12 questions · Seed 43 · Age guidance, not curriculum certification