8th Grade · Geometry

Distance

8.G.B.8

Definition

The straight-line length between two points on a coordinate plane, found by applying the Pythagorean theorem to the horizontal and vertical changes.

Examples

  • From (0,0) to (4,5) with legs 4 and... wait: distance = √(3²+4²) = √25 = 5.
  • Make a right triangle from the horizontal and vertical changes; the distance is the hypotenuse.

Key rule

Use the Pythagorean theorem on the horizontal and vertical legs.

Memory hook

Make a right triangle, then find the hypotenuse.