Terminologies

Coordinate geometry is a way of using numbers to find where things are on a flat surface.

This type of math helps us know the distance between two spots and how to divide lines correctly.

Using coordinate geometry, it is possible to find the distance between two points, dividing lines in m:n ratio, finding the mid-point of a line, calculating the area of a triangle in the cartesian plane, etc.

Geometry of Straight Lines Terminologies

Coordinates are like an address that tells you the exact spot of a point.

Coordinates: These are a set of values which helps to show the exact position of a point in the coordinate plane.

It is just the two numbers we use to find a location.

A coordinate plane is a flat surface like a graph sheet where two lines cross each other.

Coordinate Plane: This is a 2D (dimensional) plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Think of it as a flat paper with a vertical line and a horizontal line drawn on it.

The distance formula helps us measure the length between two points.

Distance Formula: It is used to find the distance between two points situated in A(x₁, y₁) and B(x₂, y₂).

We use this math rule to see how far one spot is from another spot.

The section formula is what we use when we want to cut a line into two parts that are not the same size.

Section Formula: It is used to divide any line into two parts in m:n ratio.

It helps us find the exact spot where a line is divided into pieces.

The mid-point theorem is a way to find the center of a line.

Mid-Point Theorem: This formula is used to find the coordinates at which a line is divided into two equal halves.

It gives us the address of the point that is exactly in the middle of a line.