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MathsAges 16-18

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 16-18

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (14, 22) and (24, 42).

    14 · 22 · 24 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (8, 18) and (28, 36).

    8 · 18 · 28 · 36 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (20, 10) and (36, 16).

    20 · 10 · 36 · 16 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (22, 32) and (24, 36).

    22 · 32 · 24 · 36 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (4, 4) and (14, 18).

    4 · 4 · 14 · 18 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (6, 32) and (16, 44).

    6 · 32 · 16 · 44 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 14) and (30, 16).

    10 · 14 · 30 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (30, 14) and (50, 30).

    30 · 14 · 50 · 30 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (30, 28) and (36, 30).

    30 · 28 · 36 · 30 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 6) and (16, 20).

    14 · 6 · 16 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (6, 2) and (24, 6).

    6 · 2 · 24 · 6 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (8, 14) and (20, 32).

    8 · 14 · 20 · 32 · Midpoint of a line segment
12 questions · Seed 104730 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (14, 22) and (24, 42).

    (19, 32)

    Midpoint = ((14 + 24) ÷ 2, (22 + 42) ÷ 2) = (19, 32).

  2. 2. Find the midpoint of the line segment joining (8, 18) and (28, 36).

    (18, 27)

    Midpoint = ((8 + 28) ÷ 2, (18 + 36) ÷ 2) = (18, 27).

  3. 3. Find the midpoint of the line segment joining (20, 10) and (36, 16).

    (28, 13)

    Midpoint = ((20 + 36) ÷ 2, (10 + 16) ÷ 2) = (28, 13).

  4. 4. Find the midpoint of the line segment joining (22, 32) and (24, 36).

    (23, 34)

    Midpoint = ((22 + 24) ÷ 2, (32 + 36) ÷ 2) = (23, 34).

  5. 5. Find the midpoint of the line segment joining (4, 4) and (14, 18).

    (9, 11)

    Midpoint = ((4 + 14) ÷ 2, (4 + 18) ÷ 2) = (9, 11).

  6. 6. Find the midpoint of the line segment joining (6, 32) and (16, 44).

    (11, 38)

    Midpoint = ((6 + 16) ÷ 2, (32 + 44) ÷ 2) = (11, 38).

  7. 7. Find the midpoint of the line segment joining (10, 14) and (30, 16).

    (20, 15)

    Midpoint = ((10 + 30) ÷ 2, (14 + 16) ÷ 2) = (20, 15).

  8. 8. Find the midpoint of the line segment joining (30, 14) and (50, 30).

    (40, 22)

    Midpoint = ((30 + 50) ÷ 2, (14 + 30) ÷ 2) = (40, 22).

  9. 9. Find the midpoint of the line segment joining (30, 28) and (36, 30).

    (33, 29)

    Midpoint = ((30 + 36) ÷ 2, (28 + 30) ÷ 2) = (33, 29).

  10. 10. Find the midpoint of the line segment joining (14, 6) and (16, 20).

    (15, 13)

    Midpoint = ((14 + 16) ÷ 2, (6 + 20) ÷ 2) = (15, 13).

  11. 11. Find the midpoint of the line segment joining (6, 2) and (24, 6).

    (15, 4)

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

  12. 12. Find the midpoint of the line segment joining (8, 14) and (20, 32).

    (14, 23)

    Midpoint = ((8 + 20) ÷ 2, (14 + 32) ÷ 2) = (14, 23).

12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Midpoint of a line segment

Take your time. Show your thinking.

  1. 1. Find the midpoint of the line segment joining (14, 22) and (24, 42).

    14 · 22 · 24 · 42 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (8, 18) and (28, 36).

    8 · 18 · 28 · 36 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (20, 10) and (36, 16).

    20 · 10 · 36 · 16 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (22, 32) and (24, 36).

    22 · 32 · 24 · 36 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (4, 4) and (14, 18).

    4 · 4 · 14 · 18 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (6, 32) and (16, 44).

    6 · 32 · 16 · 44 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 14) and (30, 16).

    10 · 14 · 30 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (30, 14) and (50, 30).

    30 · 14 · 50 · 30 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (30, 28) and (36, 30).

    30 · 28 · 36 · 30 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 6) and (16, 20).

    14 · 6 · 16 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (6, 2) and (24, 6).

    6 · 2 · 24 · 6 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (8, 14) and (20, 32).

    8 · 14 · 20 · 32 · Midpoint of a line segment
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Midpoint of a line segment

Answers and reasoning. Review before teaching.

  1. 1. Find the midpoint of the line segment joining (14, 22) and (24, 42).

    (19, 32)

    Midpoint = ((14 + 24) ÷ 2, (22 + 42) ÷ 2) = (19, 32).

  2. 2. Find the midpoint of the line segment joining (8, 18) and (28, 36).

    (18, 27)

    Midpoint = ((8 + 28) ÷ 2, (18 + 36) ÷ 2) = (18, 27).

  3. 3. Find the midpoint of the line segment joining (20, 10) and (36, 16).

    (28, 13)

    Midpoint = ((20 + 36) ÷ 2, (10 + 16) ÷ 2) = (28, 13).

  4. 4. Find the midpoint of the line segment joining (22, 32) and (24, 36).

    (23, 34)

    Midpoint = ((22 + 24) ÷ 2, (32 + 36) ÷ 2) = (23, 34).

  5. 5. Find the midpoint of the line segment joining (4, 4) and (14, 18).

    (9, 11)

    Midpoint = ((4 + 14) ÷ 2, (4 + 18) ÷ 2) = (9, 11).

  6. 6. Find the midpoint of the line segment joining (6, 32) and (16, 44).

    (11, 38)

    Midpoint = ((6 + 16) ÷ 2, (32 + 44) ÷ 2) = (11, 38).

  7. 7. Find the midpoint of the line segment joining (10, 14) and (30, 16).

    (20, 15)

    Midpoint = ((10 + 30) ÷ 2, (14 + 16) ÷ 2) = (20, 15).

  8. 8. Find the midpoint of the line segment joining (30, 14) and (50, 30).

    (40, 22)

    Midpoint = ((30 + 50) ÷ 2, (14 + 30) ÷ 2) = (40, 22).

  9. 9. Find the midpoint of the line segment joining (30, 28) and (36, 30).

    (33, 29)

    Midpoint = ((30 + 36) ÷ 2, (28 + 30) ÷ 2) = (33, 29).

  10. 10. Find the midpoint of the line segment joining (14, 6) and (16, 20).

    (15, 13)

    Midpoint = ((14 + 16) ÷ 2, (6 + 20) ÷ 2) = (15, 13).

  11. 11. Find the midpoint of the line segment joining (6, 2) and (24, 6).

    (15, 4)

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

  12. 12. Find the midpoint of the line segment joining (8, 14) and (20, 32).

    (14, 23)

    Midpoint = ((8 + 20) ÷ 2, (14 + 32) ÷ 2) = (14, 23).

12 questions · Seed 104730 · Age guidance, not curriculum certification