Distance Between Points

Free interactive math game: Distance Between Points — d = √((Δx)²+(Δy)²). Part of the Analytic Geometry category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. A = (1, 5) and B = (9, -10) Distance between A and B:
  2. A = (4, -5) and B = (-2, -13) Distance between A and B:
  3. A = (-2, -4) and B = (6, 2) Distance between A and B:
  4. A = (3, -2) and B = (-2, -14) Distance between A and B:

About this exercise

The distance between two points on a grid.

How to solve it

Find the horizontal and vertical gaps, then apply Pythagoras to the right triangle they form.

Worked example

From (0, 0) to (3, 4) the distance is the root of 9 + 16, which is 5.

Common mistake

Adding the gaps directly. 3 and 4 give a distance of 5, not 7.