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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 (4, 10) and (22, 16).

    4 · 10 · 22 · 16 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    26 · 30 · 34 · 46 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (2, 6) and (8, 20).

    2 · 6 · 8 · 20 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (6, 4) and (24, 10).

    6 · 4 · 24 · 10 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (24, 4) and (42, 24).

    24 · 4 · 42 · 24 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (18, 8) and (26, 22).

    18 · 8 · 26 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 22) and (26, 40).

    24 · 22 · 26 · 40 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 18) and (22, 22).

    14 · 18 · 22 · 22 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (14, 20) and (34, 38).

    14 · 20 · 34 · 38 · Midpoint of a line segment

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

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

  11. 11. Find the midpoint of the line segment joining (14, 28) and (32, 36).

    14 · 28 · 32 · 36 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (10, 18) and (18, 38).

    10 · 18 · 18 · 38 · Midpoint of a line segment
12 questions · Seed 104747 · 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 (4, 10) and (22, 16).

    (13, 13)

    Midpoint = ((4 + 22) ÷ 2, (10 + 16) ÷ 2) = (13, 13).

  2. 2. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    (30, 38)

    Midpoint = ((26 + 34) ÷ 2, (30 + 46) ÷ 2) = (30, 38).

  3. 3. Find the midpoint of the line segment joining (2, 6) and (8, 20).

    (5, 13)

    Midpoint = ((2 + 8) ÷ 2, (6 + 20) ÷ 2) = (5, 13).

  4. 4. Find the midpoint of the line segment joining (6, 4) and (24, 10).

    (15, 7)

    Midpoint = ((6 + 24) ÷ 2, (4 + 10) ÷ 2) = (15, 7).

  5. 5. Find the midpoint of the line segment joining (24, 4) and (42, 24).

    (33, 14)

    Midpoint = ((24 + 42) ÷ 2, (4 + 24) ÷ 2) = (33, 14).

  6. 6. Find the midpoint of the line segment joining (18, 8) and (26, 22).

    (22, 15)

    Midpoint = ((18 + 26) ÷ 2, (8 + 22) ÷ 2) = (22, 15).

  7. 7. Find the midpoint of the line segment joining (24, 22) and (26, 40).

    (25, 31)

    Midpoint = ((24 + 26) ÷ 2, (22 + 40) ÷ 2) = (25, 31).

  8. 8. Find the midpoint of the line segment joining (14, 18) and (22, 22).

    (18, 20)

    Midpoint = ((14 + 22) ÷ 2, (18 + 22) ÷ 2) = (18, 20).

  9. 9. Find the midpoint of the line segment joining (14, 20) and (34, 38).

    (24, 29)

    Midpoint = ((14 + 34) ÷ 2, (20 + 38) ÷ 2) = (24, 29).

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

    (19, 23)

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

  11. 11. Find the midpoint of the line segment joining (14, 28) and (32, 36).

    (23, 32)

    Midpoint = ((14 + 32) ÷ 2, (28 + 36) ÷ 2) = (23, 32).

  12. 12. Find the midpoint of the line segment joining (10, 18) and (18, 38).

    (14, 28)

    Midpoint = ((10 + 18) ÷ 2, (18 + 38) ÷ 2) = (14, 28).

12 questions · Seed 104747 · 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 (4, 10) and (22, 16).

    4 · 10 · 22 · 16 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    26 · 30 · 34 · 46 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (2, 6) and (8, 20).

    2 · 6 · 8 · 20 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (6, 4) and (24, 10).

    6 · 4 · 24 · 10 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (24, 4) and (42, 24).

    24 · 4 · 42 · 24 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (18, 8) and (26, 22).

    18 · 8 · 26 · 22 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (24, 22) and (26, 40).

    24 · 22 · 26 · 40 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 18) and (22, 22).

    14 · 18 · 22 · 22 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (14, 20) and (34, 38).

    14 · 20 · 34 · 38 · Midpoint of a line segment

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

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

  11. 11. Find the midpoint of the line segment joining (14, 28) and (32, 36).

    14 · 28 · 32 · 36 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (10, 18) and (18, 38).

    10 · 18 · 18 · 38 · Midpoint of a line segment
12 questions · Seed 104747 · 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 (4, 10) and (22, 16).

    (13, 13)

    Midpoint = ((4 + 22) ÷ 2, (10 + 16) ÷ 2) = (13, 13).

  2. 2. Find the midpoint of the line segment joining (26, 30) and (34, 46).

    (30, 38)

    Midpoint = ((26 + 34) ÷ 2, (30 + 46) ÷ 2) = (30, 38).

  3. 3. Find the midpoint of the line segment joining (2, 6) and (8, 20).

    (5, 13)

    Midpoint = ((2 + 8) ÷ 2, (6 + 20) ÷ 2) = (5, 13).

  4. 4. Find the midpoint of the line segment joining (6, 4) and (24, 10).

    (15, 7)

    Midpoint = ((6 + 24) ÷ 2, (4 + 10) ÷ 2) = (15, 7).

  5. 5. Find the midpoint of the line segment joining (24, 4) and (42, 24).

    (33, 14)

    Midpoint = ((24 + 42) ÷ 2, (4 + 24) ÷ 2) = (33, 14).

  6. 6. Find the midpoint of the line segment joining (18, 8) and (26, 22).

    (22, 15)

    Midpoint = ((18 + 26) ÷ 2, (8 + 22) ÷ 2) = (22, 15).

  7. 7. Find the midpoint of the line segment joining (24, 22) and (26, 40).

    (25, 31)

    Midpoint = ((24 + 26) ÷ 2, (22 + 40) ÷ 2) = (25, 31).

  8. 8. Find the midpoint of the line segment joining (14, 18) and (22, 22).

    (18, 20)

    Midpoint = ((14 + 22) ÷ 2, (18 + 22) ÷ 2) = (18, 20).

  9. 9. Find the midpoint of the line segment joining (14, 20) and (34, 38).

    (24, 29)

    Midpoint = ((14 + 34) ÷ 2, (20 + 38) ÷ 2) = (24, 29).

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

    (19, 23)

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

  11. 11. Find the midpoint of the line segment joining (14, 28) and (32, 36).

    (23, 32)

    Midpoint = ((14 + 32) ÷ 2, (28 + 36) ÷ 2) = (23, 32).

  12. 12. Find the midpoint of the line segment joining (10, 18) and (18, 38).

    (14, 28)

    Midpoint = ((10 + 18) ÷ 2, (18 + 38) ÷ 2) = (14, 28).

12 questions · Seed 104747 · Age guidance, not curriculum certification