Skills · Geometry · Tools of Geometry

Segment addition and midpoints

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. segment AB, midpoint M: AM 26, AB ?AMB26
    M is the midpoint of AB. Find AB.
  2. segment AC, B between A and C: AB ?, BC 15, AC 26ABC1526
    Find AB.
  3. segment AC, B between A and C: AB 5, BC ?, AC 22ABC522
    Find BC.
  4. segment AC, B between A and C: AB 8, BC ?, AC 35ABC835
    Find BC.
  5. segment AB, midpoint M: MB 17, AB ?AMB17
    M is the midpoint of AB. Find AB.
  6. segment AC, B between A and C: AB 8, BC ?, AC 12ABC812
    Find BC.
  7. segment AB, midpoint M: AM ?, AB 32AMB32
    M is the midpoint of AB. Find AM.
  8. segment AB, midpoint M: MB 7, AB ?AMB7
    M is the midpoint of AB. Find AB.

Answer key

  1. 52 units
  2. 11 units
  3. 17 units
  4. 27 units
  5. 34 units
  6. 4 units
  7. 16 units
  8. 14 units

Sample Sheet · Level 3

  1. segment AB, midpoint M: AM 4x + 18, MB 5x + 15AMB4x + 185x + 15
    M is the midpoint of AB. Find AM.
  2. segment AB, midpoint M: AM 5x − 4, MB 3x + 8, AB ?AMB5x − 43x + 8
    M is the midpoint of AB. Find AB.
  3. segment AC, B between A and C: AB 5x − 1, BC x + 3, AC 20ABC5x − 1x + 320
    Find AB.
  4. segment AC, B between A and C: AB x − 1, BC 18, AC 4x − 4ABCx − 1184x − 4
    Find AC.
  5. segment AB, midpoint M: AM 3x − 9, AB 4x + 2AMB3x − 94x + 2
    M is the midpoint of AB. Find AM.
  6. segment AB, midpoint M: AM 5x − 10, AB 5x + 15AMB5x − 105x + 15
    M is the midpoint of AB. Find AM.
  7. segment AC, B between A and C: AB 4x + 1, BC 11, AC 2x + 18ABC4x + 1112x + 18
    Find AB.
  8. segment AC, B between A and C: AB 13, BC 2x − 12, AC 3x − 9ABC132x − 123x − 9
    Find BC.

Answer key

  1. 30 units
  2. 52 units
  3. 14 units
  4. 24 units
  5. 21 units
  6. 25 units
  7. 13 units
  8. 8 units

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