Students learn how to use vector notation to prove geometrical facts about 2D shapes.

Throughout the lesson students identify and prove parallel lines, parallelograms and trapezia using vector notation.

**Differentiated Learning Objectives**

- All students should be able to use the geometrical properties of polygons to define vectors.
- Most students should be able to prove the geometrical properties of polygons using vectors.
- Some students should be able to use ratio and the geometrical properties of polygons to prove two lines are parallel.