Skills · Geometry · Tools of Geometry

The distance formula

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. point A at (2, 2), point B at (−4, 2)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  2. point A at (0, 3), point B at (4, 0)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  3. point A at (0, 5), point B at (−6, −3)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  4. point A at (4, 6), point B at (4, −6)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  5. point A at (−1, −3), point B at (−4, −3)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  6. point A at (−3, −6), point B at (2, 6)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  7. point A at (5, 6), point B at (−4, −6)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.
  8. point A at (6, 6), point B at (2, 6)AB−6−6−4−4−2−2224466xy
    Find the distance from A to B.

Answer key

  1. 6 units
  2. 5 units
  3. 10 units
  4. 12 units
  5. 3 units
  6. 13 units
  7. 15 units
  8. 4 units

Sample Sheet · Level 3

  1. Find the distance from (−3, −11) to (12, 1).
  2. Find the distance from (12, 18) to (−3, −2).
  3. Find the distance from (−20, −13) to (−13, −6).
  4. Find the distance from (6, −14) to (14, 1).
  5. Find the distance from (−13, 0) to (8, 20).
  6. Find the distance from (−12, −2) to (−4, 2).
  7. Find the distance from (0, −16) to (9, −4).
  8. Find the distance from (17, 2) to (15, −4).

Answer key

  1. 3√41 units
  2. 25 units
  3. 7√2 units
  4. 17 units
  5. 29 units
  6. 4√5 units
  7. 15 units
  8. 2√10 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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