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E-STAR - Student
E-Lecture - Review on Analytic Geometry

Definition

A coordinate plane is a plane whose points have been placed in one- to-one correspondence with the set of ordered pairs of real numbers, ℝ × ℝ.

Distance in a Coordiante Plane

The distance |P1P2| between the points P1 and P2 with coordinates (x1, y1) and (x2, y2) respectively is given by

Proof: ΔP1TP2 is right with m(∠T) = 90o

(Distance formula between P1 and P2)