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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 (20, 32) and (32, 40).

    20 · 32 · 32 · 40 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (22, 20) and (40, 22).

    22 · 20 · 40 · 22 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (20, 24) and (28, 34).

    20 · 24 · 28 · 34 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 10) and (14, 30).

    2 · 10 · 14 · 30 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (8, 22) and (26, 32).

    8 · 22 · 26 · 32 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 4) and (16, 12).

    2 · 4 · 16 · 12 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (16, 10) and (24, 16).

    16 · 10 · 24 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 30) and (32, 42).

    14 · 30 · 32 · 42 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 32) and (36, 38).

    32 · 32 · 36 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 12) and (16, 18).

    14 · 12 · 16 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (32, 8) and (46, 10).

    32 · 8 · 46 · 10 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (26, 20) and (42, 30).

    26 · 20 · 42 · 30 · Midpoint of a line segment
12 questions · Seed 104742 · 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 (20, 32) and (32, 40).

    (26, 36)

    Midpoint = ((20 + 32) ÷ 2, (32 + 40) ÷ 2) = (26, 36).

  2. 2. Find the midpoint of the line segment joining (22, 20) and (40, 22).

    (31, 21)

    Midpoint = ((22 + 40) ÷ 2, (20 + 22) ÷ 2) = (31, 21).

  3. 3. Find the midpoint of the line segment joining (20, 24) and (28, 34).

    (24, 29)

    Midpoint = ((20 + 28) ÷ 2, (24 + 34) ÷ 2) = (24, 29).

  4. 4. Find the midpoint of the line segment joining (2, 10) and (14, 30).

    (8, 20)

    Midpoint = ((2 + 14) ÷ 2, (10 + 30) ÷ 2) = (8, 20).

  5. 5. Find the midpoint of the line segment joining (8, 22) and (26, 32).

    (17, 27)

    Midpoint = ((8 + 26) ÷ 2, (22 + 32) ÷ 2) = (17, 27).

  6. 6. Find the midpoint of the line segment joining (2, 4) and (16, 12).

    (9, 8)

    Midpoint = ((2 + 16) ÷ 2, (4 + 12) ÷ 2) = (9, 8).

  7. 7. Find the midpoint of the line segment joining (16, 10) and (24, 16).

    (20, 13)

    Midpoint = ((16 + 24) ÷ 2, (10 + 16) ÷ 2) = (20, 13).

  8. 8. Find the midpoint of the line segment joining (14, 30) and (32, 42).

    (23, 36)

    Midpoint = ((14 + 32) ÷ 2, (30 + 42) ÷ 2) = (23, 36).

  9. 9. Find the midpoint of the line segment joining (32, 32) and (36, 38).

    (34, 35)

    Midpoint = ((32 + 36) ÷ 2, (32 + 38) ÷ 2) = (34, 35).

  10. 10. Find the midpoint of the line segment joining (14, 12) and (16, 18).

    (15, 15)

    Midpoint = ((14 + 16) ÷ 2, (12 + 18) ÷ 2) = (15, 15).

  11. 11. Find the midpoint of the line segment joining (32, 8) and (46, 10).

    (39, 9)

    Midpoint = ((32 + 46) ÷ 2, (8 + 10) ÷ 2) = (39, 9).

  12. 12. Find the midpoint of the line segment joining (26, 20) and (42, 30).

    (34, 25)

    Midpoint = ((26 + 42) ÷ 2, (20 + 30) ÷ 2) = (34, 25).

12 questions · Seed 104742 · 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 (20, 32) and (32, 40).

    20 · 32 · 32 · 40 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (22, 20) and (40, 22).

    22 · 20 · 40 · 22 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (20, 24) and (28, 34).

    20 · 24 · 28 · 34 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 10) and (14, 30).

    2 · 10 · 14 · 30 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (8, 22) and (26, 32).

    8 · 22 · 26 · 32 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 4) and (16, 12).

    2 · 4 · 16 · 12 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (16, 10) and (24, 16).

    16 · 10 · 24 · 16 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (14, 30) and (32, 42).

    14 · 30 · 32 · 42 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 32) and (36, 38).

    32 · 32 · 36 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (14, 12) and (16, 18).

    14 · 12 · 16 · 18 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (32, 8) and (46, 10).

    32 · 8 · 46 · 10 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (26, 20) and (42, 30).

    26 · 20 · 42 · 30 · Midpoint of a line segment
12 questions · Seed 104742 · 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 (20, 32) and (32, 40).

    (26, 36)

    Midpoint = ((20 + 32) ÷ 2, (32 + 40) ÷ 2) = (26, 36).

  2. 2. Find the midpoint of the line segment joining (22, 20) and (40, 22).

    (31, 21)

    Midpoint = ((22 + 40) ÷ 2, (20 + 22) ÷ 2) = (31, 21).

  3. 3. Find the midpoint of the line segment joining (20, 24) and (28, 34).

    (24, 29)

    Midpoint = ((20 + 28) ÷ 2, (24 + 34) ÷ 2) = (24, 29).

  4. 4. Find the midpoint of the line segment joining (2, 10) and (14, 30).

    (8, 20)

    Midpoint = ((2 + 14) ÷ 2, (10 + 30) ÷ 2) = (8, 20).

  5. 5. Find the midpoint of the line segment joining (8, 22) and (26, 32).

    (17, 27)

    Midpoint = ((8 + 26) ÷ 2, (22 + 32) ÷ 2) = (17, 27).

  6. 6. Find the midpoint of the line segment joining (2, 4) and (16, 12).

    (9, 8)

    Midpoint = ((2 + 16) ÷ 2, (4 + 12) ÷ 2) = (9, 8).

  7. 7. Find the midpoint of the line segment joining (16, 10) and (24, 16).

    (20, 13)

    Midpoint = ((16 + 24) ÷ 2, (10 + 16) ÷ 2) = (20, 13).

  8. 8. Find the midpoint of the line segment joining (14, 30) and (32, 42).

    (23, 36)

    Midpoint = ((14 + 32) ÷ 2, (30 + 42) ÷ 2) = (23, 36).

  9. 9. Find the midpoint of the line segment joining (32, 32) and (36, 38).

    (34, 35)

    Midpoint = ((32 + 36) ÷ 2, (32 + 38) ÷ 2) = (34, 35).

  10. 10. Find the midpoint of the line segment joining (14, 12) and (16, 18).

    (15, 15)

    Midpoint = ((14 + 16) ÷ 2, (12 + 18) ÷ 2) = (15, 15).

  11. 11. Find the midpoint of the line segment joining (32, 8) and (46, 10).

    (39, 9)

    Midpoint = ((32 + 46) ÷ 2, (8 + 10) ÷ 2) = (39, 9).

  12. 12. Find the midpoint of the line segment joining (26, 20) and (42, 30).

    (34, 25)

    Midpoint = ((26 + 42) ÷ 2, (20 + 30) ÷ 2) = (34, 25).

12 questions · Seed 104742 · Age guidance, not curriculum certification