Concept of Points

Point: A point is a mark of position. It has neither length, width, nor thickness and occupies no space. It is usually denoted by a capital letter.

1. Visual Representation:

• A point can be represented by marking a tiny dot on paper using a sharp pencil.
• The sharper the pencil tip, the thinner and more precise the dot will be.

2. Ideal Representation:

• In geometry, points are considered infinitely small and dimensionless.
• The dots used for representation should be as thin as possible to closely resemble an ideal point.

3. Identification of Points:

• Points are usually denoted by capital letters such as A, B, and C.
• When marked on paper, they are referred to as Point A, Point B, and Point C.

Three or more points that all lie on the same straight line

Three or more points that do not lie on the same straight line.

Points:

• The sharp tip of a needle.

• A tiny star in the night sky.

Collinear Points:

• Imagine runners standing perfectly in one straight lane on a racetrack. They are collinear

Non-Collinear Points:

• Imagine three friends standing randomly in a field. You cannot draw a single straight line through all of them.

• A Point shows only position and has no dimension (no length, width, or thickness).

• Points are always named using capital letters (e.g., Point Z).

• Collinear Points are three or more points that lie on the same straight line.

• Non-Collinear Points are three or more points that do not lie on the same straight line.