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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, 10) and (42, 22).

    24 · 10 · 42 · 22 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (16, 28) and (36, 46).

    16 · 28 · 36 · 46 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (30, 26) and (42, 36).

    30 · 26 · 42 · 36 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 24) and (22, 38).

    2 · 24 · 22 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (32, 24) and (42, 36).

    32 · 24 · 42 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (6, 28) and (26, 46).

    6 · 28 · 26 · 46 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (2, 12) and (22, 18).

    2 · 12 · 22 · 18 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (20, 26) and (30, 32).

    20 · 26 · 30 · 32 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (12, 18) and (20, 24).

    12 · 18 · 20 · 24 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (12, 4) and (24, 20).

    12 · 4 · 24 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (18, 14) and (22, 34).

    18 · 14 · 22 · 34 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 20) and (44, 26).

    28 · 20 · 44 · 26 · Midpoint of a line segment
12 questions · Seed 104744 · 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, 10) and (42, 22).

    (33, 16)

    Midpoint = ((24 + 42) ÷ 2, (10 + 22) ÷ 2) = (33, 16).

  2. 2. Find the midpoint of the line segment joining (16, 28) and (36, 46).

    (26, 37)

    Midpoint = ((16 + 36) ÷ 2, (28 + 46) ÷ 2) = (26, 37).

  3. 3. Find the midpoint of the line segment joining (30, 26) and (42, 36).

    (36, 31)

    Midpoint = ((30 + 42) ÷ 2, (26 + 36) ÷ 2) = (36, 31).

  4. 4. Find the midpoint of the line segment joining (2, 24) and (22, 38).

    (12, 31)

    Midpoint = ((2 + 22) ÷ 2, (24 + 38) ÷ 2) = (12, 31).

  5. 5. Find the midpoint of the line segment joining (32, 24) and (42, 36).

    (37, 30)

    Midpoint = ((32 + 42) ÷ 2, (24 + 36) ÷ 2) = (37, 30).

  6. 6. Find the midpoint of the line segment joining (6, 28) and (26, 46).

    (16, 37)

    Midpoint = ((6 + 26) ÷ 2, (28 + 46) ÷ 2) = (16, 37).

  7. 7. Find the midpoint of the line segment joining (2, 12) and (22, 18).

    (12, 15)

    Midpoint = ((2 + 22) ÷ 2, (12 + 18) ÷ 2) = (12, 15).

  8. 8. Find the midpoint of the line segment joining (20, 26) and (30, 32).

    (25, 29)

    Midpoint = ((20 + 30) ÷ 2, (26 + 32) ÷ 2) = (25, 29).

  9. 9. Find the midpoint of the line segment joining (12, 18) and (20, 24).

    (16, 21)

    Midpoint = ((12 + 20) ÷ 2, (18 + 24) ÷ 2) = (16, 21).

  10. 10. Find the midpoint of the line segment joining (12, 4) and (24, 20).

    (18, 12)

    Midpoint = ((12 + 24) ÷ 2, (4 + 20) ÷ 2) = (18, 12).

  11. 11. Find the midpoint of the line segment joining (18, 14) and (22, 34).

    (20, 24)

    Midpoint = ((18 + 22) ÷ 2, (14 + 34) ÷ 2) = (20, 24).

  12. 12. Find the midpoint of the line segment joining (28, 20) and (44, 26).

    (36, 23)

    Midpoint = ((28 + 44) ÷ 2, (20 + 26) ÷ 2) = (36, 23).

12 questions · Seed 104744 · 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, 10) and (42, 22).

    24 · 10 · 42 · 22 · Midpoint of a line segment

  2. 2. Find the midpoint of the line segment joining (16, 28) and (36, 46).

    16 · 28 · 36 · 46 · Midpoint of a line segment

  3. 3. Find the midpoint of the line segment joining (30, 26) and (42, 36).

    30 · 26 · 42 · 36 · Midpoint of a line segment

  4. 4. Find the midpoint of the line segment joining (2, 24) and (22, 38).

    2 · 24 · 22 · 38 · Midpoint of a line segment

  5. 5. Find the midpoint of the line segment joining (32, 24) and (42, 36).

    32 · 24 · 42 · 36 · Midpoint of a line segment

  6. 6. Find the midpoint of the line segment joining (6, 28) and (26, 46).

    6 · 28 · 26 · 46 · Midpoint of a line segment

  7. 7. Find the midpoint of the line segment joining (2, 12) and (22, 18).

    2 · 12 · 22 · 18 · Midpoint of a line segment

  8. 8. Find the midpoint of the line segment joining (20, 26) and (30, 32).

    20 · 26 · 30 · 32 · Midpoint of a line segment

  9. 9. Find the midpoint of the line segment joining (12, 18) and (20, 24).

    12 · 18 · 20 · 24 · Midpoint of a line segment

  10. 10. Find the midpoint of the line segment joining (12, 4) and (24, 20).

    12 · 4 · 24 · 20 · Midpoint of a line segment

  11. 11. Find the midpoint of the line segment joining (18, 14) and (22, 34).

    18 · 14 · 22 · 34 · Midpoint of a line segment

  12. 12. Find the midpoint of the line segment joining (28, 20) and (44, 26).

    28 · 20 · 44 · 26 · Midpoint of a line segment
12 questions · Seed 104744 · 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, 10) and (42, 22).

    (33, 16)

    Midpoint = ((24 + 42) ÷ 2, (10 + 22) ÷ 2) = (33, 16).

  2. 2. Find the midpoint of the line segment joining (16, 28) and (36, 46).

    (26, 37)

    Midpoint = ((16 + 36) ÷ 2, (28 + 46) ÷ 2) = (26, 37).

  3. 3. Find the midpoint of the line segment joining (30, 26) and (42, 36).

    (36, 31)

    Midpoint = ((30 + 42) ÷ 2, (26 + 36) ÷ 2) = (36, 31).

  4. 4. Find the midpoint of the line segment joining (2, 24) and (22, 38).

    (12, 31)

    Midpoint = ((2 + 22) ÷ 2, (24 + 38) ÷ 2) = (12, 31).

  5. 5. Find the midpoint of the line segment joining (32, 24) and (42, 36).

    (37, 30)

    Midpoint = ((32 + 42) ÷ 2, (24 + 36) ÷ 2) = (37, 30).

  6. 6. Find the midpoint of the line segment joining (6, 28) and (26, 46).

    (16, 37)

    Midpoint = ((6 + 26) ÷ 2, (28 + 46) ÷ 2) = (16, 37).

  7. 7. Find the midpoint of the line segment joining (2, 12) and (22, 18).

    (12, 15)

    Midpoint = ((2 + 22) ÷ 2, (12 + 18) ÷ 2) = (12, 15).

  8. 8. Find the midpoint of the line segment joining (20, 26) and (30, 32).

    (25, 29)

    Midpoint = ((20 + 30) ÷ 2, (26 + 32) ÷ 2) = (25, 29).

  9. 9. Find the midpoint of the line segment joining (12, 18) and (20, 24).

    (16, 21)

    Midpoint = ((12 + 20) ÷ 2, (18 + 24) ÷ 2) = (16, 21).

  10. 10. Find the midpoint of the line segment joining (12, 4) and (24, 20).

    (18, 12)

    Midpoint = ((12 + 24) ÷ 2, (4 + 20) ÷ 2) = (18, 12).

  11. 11. Find the midpoint of the line segment joining (18, 14) and (22, 34).

    (20, 24)

    Midpoint = ((18 + 22) ÷ 2, (14 + 34) ÷ 2) = (20, 24).

  12. 12. Find the midpoint of the line segment joining (28, 20) and (44, 26).

    (36, 23)

    Midpoint = ((28 + 44) ÷ 2, (20 + 26) ÷ 2) = (36, 23).

12 questions · Seed 104744 · Age guidance, not curriculum certification