Skills · Geometry · Triangles

Midsegments

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. triangle ABC, D and E the midpoints of AC and BC: DE 12, AB ?, EB 14ABCDE?1412
    Find the length marked ?.
  2. triangle ABC, D and E the midpoints of AC and BC: DE ?, AB 16, DC 14ABCDE1614?
    Find the length marked ?.
  3. triangle ABC, D and E the midpoints of AC and BC: DE 24, AB ?, EB 23ABCDE?2324
    Find the length marked ?.
  4. triangle ABC, D and E the midpoints of AC and BC: DE ?, AB 26, EB 7ABCDE267?
    Find the length marked ?.
  5. triangle ABC, D and E the midpoints of AC and BC: DE 21, AB ?, CE 18ABCDE?1821
    Find the length marked ?.
  6. triangle ABC, D and E the midpoints of AC and BC: DE ?, AB 22, CE 18ABCDE2218?
    Find the length marked ?.
  7. triangle ABC, D and E the midpoints of AC and BC: DE 23, AB ?, DC 22ABCDE?2223
    Find the length marked ?.
  8. triangle ABC, D and E the midpoints of AC and BC: DE ?, AB 38, AD 24ABCDE3824?
    Find the length marked ?.

Answer key

  1. 24 units
  2. 8 units
  3. 48 units
  4. 13 units
  5. 42 units
  6. 11 units
  7. 46 units
  8. 19 units

Sample Sheet · Level 3

  1. triangle ABC, D and E the midpoints of AC and BC: DE 15, AB (3x − 9), CE 11ABCDE(3x − 9)1115
    Find AB.
  2. triangle ABC, D and E the midpoints of AC and BC: DE (2x − 2), AB 56, EB 23ABCDE5623(2x − 2)
    Find DE.
  3. triangle ABC, D and E the midpoints of AC and BC: DE (4x − 6), AB (2x + 24)ABCDE(2x + 24)(4x − 6)
    Find DE.
  4. triangle ABC, D and E the midpoints of AC and BC: DE (7x − 15), AB (4x + 30)ABCDE(4x + 30)(7x − 15)
    Find AB.
  5. triangle ABC, D and E the midpoints of AC and BC: DE 26, AB (3x + 7), EB 25ABCDE(3x + 7)2526
    Find AB.
  6. triangle ABC, D and E the midpoints of AC and BC: DE 12, AB (2x − 6), AD 16ABCDE(2x − 6)1612
    Find AB.
  7. triangle ABC, D and E the midpoints of AC and BC: DE (6x − 24), AB 24, EB 8ABCDE248(6x − 24)
    Find DE.
  8. triangle ABC, D and E the midpoints of AC and BC: DE (4x − 8), AB (3x + 24)ABCDE(3x + 24)(4x − 8)
    Find AB.

Answer key

  1. 30 units
  2. 28 units
  3. 18 units
  4. 54 units
  5. 52 units
  6. 24 units
  7. 12 units
  8. 48 units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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