Rectangular cartesian coordinate
- Find area of a rectangle in terms of the coordinates of vertices
- Prove properties of parallelogram
- Find angle between two lines
- Compute the perpendicular distance of point from a line
- Derive an equation of an angle bisector
- Solve locus problems
Ratio theorem
- Prove the ratio theorem
- Apply the ratio theorem to solve related problems
Cycle
- Derive the general equation of a circles
- Find the equation of a tangent and normal to a circle
- Find the point of intersection of circles
- Calculate length of a tangent from a point