Study Online and Download Notes of Mathematics 9th Unit 9: Introduction to Coordinate Geometry. The study of geometrical shapes in a plane is called plane geometry. Coordinate geometry is the study of geometrical shapes in the Cartesian plane (coordinate plane).

Study Online and Download Notes of

**Mathematics 9th Unit 9: Introduction to Coordinate Geometry**. The study of geometrical shapes in a plane is called plane geometry. Coordinate geometry is the study of geometrical shapes in the Cartesian plane (coordinate plane). We know that a plane is divided into four quadrants by two perpendicular lines called the axes intersecting at origin. We have also seen that there is one to one correspondence between the points of the plane and the ordered pairs in R % R.

After studying this unit, the students will be able to:

- 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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