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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 (28, 26) and (38, 46).

    28 · 26 · 38 · 46 · Midpoint of a line segment

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

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

  3. 3. Find the midpoint of the line segment joining (16, 28) and (22, 48).

    16 · 28 · 22 · 48 · Midpoint of a line segment

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

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

  5. 5. Find the midpoint of the line segment joining (10, 12) and (12, 32).

    10 · 12 · 12 · 32 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 20) and (12, 30).

    2 · 20 · 12 · 30 · Midpoint of a line segment

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

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

  8. 8. Find the midpoint of the line segment joining (10, 14) and (22, 34).

    10 · 14 · 22 · 34 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 20) and (42, 38).

    32 · 20 · 42 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (22, 22) and (36, 30).

    22 · 22 · 36 · 30 · Midpoint of a line segment

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

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

  12. 12. Find the midpoint of the line segment joining (16, 2) and (26, 20).

    16 · 2 · 26 · 20 · Midpoint of a line segment
12 questions · Seed 104736 · 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 (28, 26) and (38, 46).

    (33, 36)

    Midpoint = ((28 + 38) ÷ 2, (26 + 46) ÷ 2) = (33, 36).

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

    (32, 22)

    Midpoint = ((28 + 36) ÷ 2, (16 + 28) ÷ 2) = (32, 22).

  3. 3. Find the midpoint of the line segment joining (16, 28) and (22, 48).

    (19, 38)

    Midpoint = ((16 + 22) ÷ 2, (28 + 48) ÷ 2) = (19, 38).

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

    (26, 22)

    Midpoint = ((24 + 28) ÷ 2, (16 + 28) ÷ 2) = (26, 22).

  5. 5. Find the midpoint of the line segment joining (10, 12) and (12, 32).

    (11, 22)

    Midpoint = ((10 + 12) ÷ 2, (12 + 32) ÷ 2) = (11, 22).

  6. 6. Find the midpoint of the line segment joining (2, 20) and (12, 30).

    (7, 25)

    Midpoint = ((2 + 12) ÷ 2, (20 + 30) ÷ 2) = (7, 25).

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

    (20, 17)

    Midpoint = ((18 + 22) ÷ 2, (8 + 26) ÷ 2) = (20, 17).

  8. 8. Find the midpoint of the line segment joining (10, 14) and (22, 34).

    (16, 24)

    Midpoint = ((10 + 22) ÷ 2, (14 + 34) ÷ 2) = (16, 24).

  9. 9. Find the midpoint of the line segment joining (32, 20) and (42, 38).

    (37, 29)

    Midpoint = ((32 + 42) ÷ 2, (20 + 38) ÷ 2) = (37, 29).

  10. 10. Find the midpoint of the line segment joining (22, 22) and (36, 30).

    (29, 26)

    Midpoint = ((22 + 36) ÷ 2, (22 + 30) ÷ 2) = (29, 26).

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

    (14, 27)

    Midpoint = ((10 + 18) ÷ 2, (18 + 36) ÷ 2) = (14, 27).

  12. 12. Find the midpoint of the line segment joining (16, 2) and (26, 20).

    (21, 11)

    Midpoint = ((16 + 26) ÷ 2, (2 + 20) ÷ 2) = (21, 11).

12 questions · Seed 104736 · 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 (28, 26) and (38, 46).

    28 · 26 · 38 · 46 · Midpoint of a line segment

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

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

  3. 3. Find the midpoint of the line segment joining (16, 28) and (22, 48).

    16 · 28 · 22 · 48 · Midpoint of a line segment

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

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

  5. 5. Find the midpoint of the line segment joining (10, 12) and (12, 32).

    10 · 12 · 12 · 32 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (2, 20) and (12, 30).

    2 · 20 · 12 · 30 · Midpoint of a line segment

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

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

  8. 8. Find the midpoint of the line segment joining (10, 14) and (22, 34).

    10 · 14 · 22 · 34 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (32, 20) and (42, 38).

    32 · 20 · 42 · 38 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (22, 22) and (36, 30).

    22 · 22 · 36 · 30 · Midpoint of a line segment

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

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

  12. 12. Find the midpoint of the line segment joining (16, 2) and (26, 20).

    16 · 2 · 26 · 20 · Midpoint of a line segment
12 questions · Seed 104736 · 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 (28, 26) and (38, 46).

    (33, 36)

    Midpoint = ((28 + 38) ÷ 2, (26 + 46) ÷ 2) = (33, 36).

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

    (32, 22)

    Midpoint = ((28 + 36) ÷ 2, (16 + 28) ÷ 2) = (32, 22).

  3. 3. Find the midpoint of the line segment joining (16, 28) and (22, 48).

    (19, 38)

    Midpoint = ((16 + 22) ÷ 2, (28 + 48) ÷ 2) = (19, 38).

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

    (26, 22)

    Midpoint = ((24 + 28) ÷ 2, (16 + 28) ÷ 2) = (26, 22).

  5. 5. Find the midpoint of the line segment joining (10, 12) and (12, 32).

    (11, 22)

    Midpoint = ((10 + 12) ÷ 2, (12 + 32) ÷ 2) = (11, 22).

  6. 6. Find the midpoint of the line segment joining (2, 20) and (12, 30).

    (7, 25)

    Midpoint = ((2 + 12) ÷ 2, (20 + 30) ÷ 2) = (7, 25).

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

    (20, 17)

    Midpoint = ((18 + 22) ÷ 2, (8 + 26) ÷ 2) = (20, 17).

  8. 8. Find the midpoint of the line segment joining (10, 14) and (22, 34).

    (16, 24)

    Midpoint = ((10 + 22) ÷ 2, (14 + 34) ÷ 2) = (16, 24).

  9. 9. Find the midpoint of the line segment joining (32, 20) and (42, 38).

    (37, 29)

    Midpoint = ((32 + 42) ÷ 2, (20 + 38) ÷ 2) = (37, 29).

  10. 10. Find the midpoint of the line segment joining (22, 22) and (36, 30).

    (29, 26)

    Midpoint = ((22 + 36) ÷ 2, (22 + 30) ÷ 2) = (29, 26).

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

    (14, 27)

    Midpoint = ((10 + 18) ÷ 2, (18 + 36) ÷ 2) = (14, 27).

  12. 12. Find the midpoint of the line segment joining (16, 2) and (26, 20).

    (21, 11)

    Midpoint = ((16 + 26) ÷ 2, (2 + 20) ÷ 2) = (21, 11).

12 questions · Seed 104736 · Age guidance, not curriculum certification