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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 (24, 4) and (40, 12).

    24 · 4 · 40 · 12 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (2, 22) and (6, 34).

    2 · 22 · 6 · 34 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (28, 4) and (32, 24).

    28 · 4 · 32 · 24 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (30, 12) and (44, 20).

    30 · 12 · 44 · 20 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (18, 32) and (38, 38).

    18 · 32 · 38 · 38 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (24, 8) and (30, 28).

    24 · 8 · 30 · 28 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 28) and (18, 36).

    10 · 28 · 18 · 36 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (18, 26) and (30, 40).

    18 · 26 · 30 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (24, 16) and (32, 32).

    24 · 16 · 32 · 32 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (28, 22) and (38, 24).

    28 · 22 · 38 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (30, 10) and (46, 12).

    30 · 10 · 46 · 12 · Midpoint of a line segment

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

    6 · 8 · 22 · 18 · Midpoint of a line segment
12 questions · Seed 104731 · 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 (24, 4) and (40, 12).

    (32, 8)

    Midpoint = ((24 + 40) ÷ 2, (4 + 12) ÷ 2) = (32, 8).

  2. 2. Find the midpoint of the line segment joining (2, 22) and (6, 34).

    (4, 28)

    Midpoint = ((2 + 6) ÷ 2, (22 + 34) ÷ 2) = (4, 28).

  3. 3. Find the midpoint of the line segment joining (28, 4) and (32, 24).

    (30, 14)

    Midpoint = ((28 + 32) ÷ 2, (4 + 24) ÷ 2) = (30, 14).

  4. 4. Find the midpoint of the line segment joining (30, 12) and (44, 20).

    (37, 16)

    Midpoint = ((30 + 44) ÷ 2, (12 + 20) ÷ 2) = (37, 16).

  5. 5. Find the midpoint of the line segment joining (18, 32) and (38, 38).

    (28, 35)

    Midpoint = ((18 + 38) ÷ 2, (32 + 38) ÷ 2) = (28, 35).

  6. 6. Find the midpoint of the line segment joining (24, 8) and (30, 28).

    (27, 18)

    Midpoint = ((24 + 30) ÷ 2, (8 + 28) ÷ 2) = (27, 18).

  7. 7. Find the midpoint of the line segment joining (10, 28) and (18, 36).

    (14, 32)

    Midpoint = ((10 + 18) ÷ 2, (28 + 36) ÷ 2) = (14, 32).

  8. 8. Find the midpoint of the line segment joining (18, 26) and (30, 40).

    (24, 33)

    Midpoint = ((18 + 30) ÷ 2, (26 + 40) ÷ 2) = (24, 33).

  9. 9. Find the midpoint of the line segment joining (24, 16) and (32, 32).

    (28, 24)

    Midpoint = ((24 + 32) ÷ 2, (16 + 32) ÷ 2) = (28, 24).

  10. 10. Find the midpoint of the line segment joining (28, 22) and (38, 24).

    (33, 23)

    Midpoint = ((28 + 38) ÷ 2, (22 + 24) ÷ 2) = (33, 23).

  11. 11. Find the midpoint of the line segment joining (30, 10) and (46, 12).

    (38, 11)

    Midpoint = ((30 + 46) ÷ 2, (10 + 12) ÷ 2) = (38, 11).

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

    (14, 13)

    Midpoint = ((6 + 22) ÷ 2, (8 + 18) ÷ 2) = (14, 13).

12 questions · Seed 104731 · 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 (24, 4) and (40, 12).

    24 · 4 · 40 · 12 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (2, 22) and (6, 34).

    2 · 22 · 6 · 34 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (28, 4) and (32, 24).

    28 · 4 · 32 · 24 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (30, 12) and (44, 20).

    30 · 12 · 44 · 20 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (18, 32) and (38, 38).

    18 · 32 · 38 · 38 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (24, 8) and (30, 28).

    24 · 8 · 30 · 28 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (10, 28) and (18, 36).

    10 · 28 · 18 · 36 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (18, 26) and (30, 40).

    18 · 26 · 30 · 40 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (24, 16) and (32, 32).

    24 · 16 · 32 · 32 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (28, 22) and (38, 24).

    28 · 22 · 38 · 24 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (30, 10) and (46, 12).

    30 · 10 · 46 · 12 · Midpoint of a line segment

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

    6 · 8 · 22 · 18 · Midpoint of a line segment
12 questions · Seed 104731 · 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 (24, 4) and (40, 12).

    (32, 8)

    Midpoint = ((24 + 40) ÷ 2, (4 + 12) ÷ 2) = (32, 8).

  2. 2. Find the midpoint of the line segment joining (2, 22) and (6, 34).

    (4, 28)

    Midpoint = ((2 + 6) ÷ 2, (22 + 34) ÷ 2) = (4, 28).

  3. 3. Find the midpoint of the line segment joining (28, 4) and (32, 24).

    (30, 14)

    Midpoint = ((28 + 32) ÷ 2, (4 + 24) ÷ 2) = (30, 14).

  4. 4. Find the midpoint of the line segment joining (30, 12) and (44, 20).

    (37, 16)

    Midpoint = ((30 + 44) ÷ 2, (12 + 20) ÷ 2) = (37, 16).

  5. 5. Find the midpoint of the line segment joining (18, 32) and (38, 38).

    (28, 35)

    Midpoint = ((18 + 38) ÷ 2, (32 + 38) ÷ 2) = (28, 35).

  6. 6. Find the midpoint of the line segment joining (24, 8) and (30, 28).

    (27, 18)

    Midpoint = ((24 + 30) ÷ 2, (8 + 28) ÷ 2) = (27, 18).

  7. 7. Find the midpoint of the line segment joining (10, 28) and (18, 36).

    (14, 32)

    Midpoint = ((10 + 18) ÷ 2, (28 + 36) ÷ 2) = (14, 32).

  8. 8. Find the midpoint of the line segment joining (18, 26) and (30, 40).

    (24, 33)

    Midpoint = ((18 + 30) ÷ 2, (26 + 40) ÷ 2) = (24, 33).

  9. 9. Find the midpoint of the line segment joining (24, 16) and (32, 32).

    (28, 24)

    Midpoint = ((24 + 32) ÷ 2, (16 + 32) ÷ 2) = (28, 24).

  10. 10. Find the midpoint of the line segment joining (28, 22) and (38, 24).

    (33, 23)

    Midpoint = ((28 + 38) ÷ 2, (22 + 24) ÷ 2) = (33, 23).

  11. 11. Find the midpoint of the line segment joining (30, 10) and (46, 12).

    (38, 11)

    Midpoint = ((30 + 46) ÷ 2, (10 + 12) ÷ 2) = (38, 11).

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

    (14, 13)

    Midpoint = ((6 + 22) ÷ 2, (8 + 18) ÷ 2) = (14, 13).

12 questions · Seed 104731 · Age guidance, not curriculum certification