Stage 30 · Analytic Geometry

30.1.2 The Distance Between Two Points

30.1 From Vectors to Coordinates: Where Analytic Geometry Begins

Point 2 of 4

30.1.2 The Distance Between Two Points

Core idea

Stretch a rubber band between two points, walk across then up to form a right triangle, and its length is √((x₂−x₁)²+(y₂−y₁)²).

Module goal. Carry the vector thinking forward from the last stage, build the big idea of describing shapes with coordinates and equations, and revisit the tools of the plane.
eastmath.com · 30.1 From Vectors to Coordinates: Where Analytic Geometry Begins · 30.1.2 The Distance Between Two Points