## Unit 09 Linear Graphs (General Mathematics 9 PCTB)

Notes, solutions of unit 09, General Mathematics 9, for Punjab Curriculum & Textbook Board (PCTB), Lahore.

- Define coordinate geometry.
- Derive distance formula to calculate distance between two points given in Cartesian plane.
- Use distance formula to find distance between two given points.
- Define collinear points. Distinguish between collinear and non-collinear points.
- Use distance formula to show that given three (or more) points are collinear.
- Use distance formula to show that the given three non-collinear points form
- an equilateral triangle,
- an isosceles triangle,
- a right angled triangle,
- a scalene triangle.

- Use distance formula to show that given four non-collinear points form
- a square,
- a rectangle,
- a parallelogram.

- Recognize the formula to find the midpoint of the line joining two given points.
- Apply distance and mid point formulae to solve/verify different standard results related to geometry.

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