Let’s talk about what you need to know for Coordinate geometry, circles (in coordinate geometry) and proofs in plane geometry for O Level Additional Mathematics.

### Coordinate geometry

- finding the gradient of a straight line from 2 given points
- finding distance between 2 points
- finding the midpoint of 2 points
- finding the equation of a straight line
- relationship between gradients when the straight lines are parallel or perpendicular
- finding the equation of the perpendicular bisector
- finding area using shoe-lace method

### Circles in coordinate geometry

- equation of circles in the following form:
- (x-a)
^{2}+ (y-b)^{2}=r^{2} - x
^{2}+ y^{2}+ 2gx + 2fy +c = 0

- (x-a)
- problems involving circles and coordinate geometry

### Proofs in plane geometry

- proofing similar and congruent triangle (also tested in elementary mathematics)
- mid-point theorem
- alternate angles and corresponding angles
- alternate segment theorem and other geometric properties of circles (e.g. angle in the same segment, angle in a semi- circle, the angle at the centre of circle, etc.)

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