# GEOmeTRY

### bY:AsH malVEZzi

## definitions

Analytic Geometry - the blending of algebra and geometry

Coordinate Geometry - when the process of Analytic Geometry involves placing figures in a coordinate plane.

## Example:

Given: ABC triangle with a(0,0), b(2,3), and c(4,0)

Prove: ABC triangle is isosceles

## D=unsquare (x2-x1)^2+(y2-y1)^2

AB=unsquare (2-0)^2+(3-0)^2=unsquare 4+9=unsquare 13

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AB=BC and AB about = BC

The triangle is isosceles because two of the sides are congruent.