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8th Grade Math (Math 8) · Chapter 11 · Lesson 11.7 · Printable PDF

The Distance Formula Worksheet with Answer Key

6 problems on the distance formula: exact and decimal distances, an archaeology dig grid, a goat on a rope, finding students' mistakes, whether three points lie on a line, and points at a distance of 5. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable The distance formula worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the distance between each pair of points, exactly and as a decimal:
    (−2, 4) and (6, −2)(3, −1) and (3, −9)(−5, −7) and (−1, −2)(2.5, 1) and (−0.5, 5)(−4, 1) and (3, −1)
  2. Word problem: the distance between finds on an archaeology dig grid.
  3. Word problem: which points a goat tied to a stake can reach.
  4. Find the mistake in each student's distance calculation and correct it:
  5. Find three distances and compare the sum of two with the third.
  6. Find every integer point exactly 5 units from (-3, 2) and explain why there are 12.

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The free lesson teaches it with worked examples and practice problems.

The distance formula: the lesson ›

More Chapter 11 worksheets: The Pythagorean theorem and distance