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Distance on the coordinate plane

A practical activity for 8th-grade students to practice calculating distances on the coordinate plane using the Pythagorean theorem. Students solve problems involving finding the length of segments, comparing distances, and sequencing steps for the calculation method.

By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New

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Questions

  1. What is the length of the line segment between the points (2, 3) and (7, 7)?
  2. Which of the following sets of points are exactly 10 units apart on the coordinate plane?
  3. Put the steps for finding the distance between (1, 2) and (4, 6) using the Pythagorean theorem in the correct order.
  4. Match each pair of points to its correct distance.
  5. Fill in the blank: The distance between (a, b) and (c, d) is given by the formula: distance = ___
  6. Choose the correct value: The distance between (2, 3) and (2, 10) is ___ units.
  7. Sort the following pairs of points into 'Distance is 5 units' and 'Distance is not 5 units'.
  8. Determine if each statement about the Pythagorean theorem and distances on the coordinate plane is true or false.
  9. Calculate the distance between the points (3, 7) and (10, 11).
  10. What is the name of the theorem used to find the distance between two points on a coordinate plane?

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