Unit 11: Analytic Geometry

The study of analytic geometry bridges the gap between algebra and geometry, offering a powerful framework for understanding geometric shapes through coordinate systems and equations. Our website delves into the world of analytic geometry, exploring the relationships between lines, circles, parabolas, ellipses, and hyperbolas using algebraic methods. Mastering analytic geometry empowers students to solve complex problems in fields such as engineering, computer graphics, and physics, where the ability to model and manipulate geometric structures is essential. Uncover the fascinating connections between algebra and geometry and learn how analytic geometry shapes our understanding of the world and its practical applications.

Lessons

11.1 – Points & Linear Equations

11.2 – Slope of a Linear Equations

11.3 – Parallel Slopes

11.4 – Perpendicular Slopes

11.5 – Distance Formula

11.6 – Midpoint Formula

11.7 – Dividing a Segment into Ratios

11.8 – Solving Systems of Linear Equations Graphically

11.9 – Solving Systems of Linear Equations Algebraically

11.10 – Coordinate Geometry Proofs

11.11 – Analytic Geometry Proofs

11.12 – Triangle Centroid