# Point Definition

Points and lines are the abecedarian principles in the figure that we must master before we can learn about other forms and sizes. Because it simply represents a dot, a point is a dimensionless shape, whereas a line is a - dimensional object. Both points are lines that draw colorful forms and sizes in a plane. These shapes might be in two or three confines. A point and a line are basic points geometry concepts. A point is a position with no width, height, or length and is also zero-dimensional. It is denoted by a dot and is given a capital letter. (For instance, A line or straight line is connected indefinitely to several points that are extended in opposite directions.) A line segment AB, denoted by the symbol AB, is called using any two points.

The geometric figures can be labeled and identified using a point, and the figures can be drawn using lines. Points are utilized in various applications, including graphing and map reading. Almost all geometry starts with a point, whether it's a line or a complex three-dimensional structure. Lines, rays, 2D shapes, and angles are all drawn with points. A kite stick is a simple example of a point because the two sticks of a kite intersect at a point.

## What's the Point?

A point is a dot on a plane or a piece of paper. A point has no length, range, or height. It determines the position or position of a plane. To make a point, draw a dot on a piece of paper and mark it with A or another capital letter. Put three blotches on a piece of paper and label them X, Y, and Z to indicate three different points. They can be read as points X, Y, and Z.

## Types of point

### 1. Colinear Points

As the name implies, colinear points are direct. Collinear points are points in a direct portion or on a straight line. The gap means" together" in Latin. So collinear implies gap direct indicate points that are connected linearly.

Collinear Points Example: A simple illustration helps to understand collinear points. Knowing that the slight uptick is on a straight line, we can do a candlestick test. In this experiment, we found that all points (P, Q, R, S) lie on a straight line. Collinear points are displayed because all points are on the same straight line. You and your friend are sitting on a bench.

### 2. Non-collinear Points

Non-collinear, as the name suggests, means non-linear. A non-collinear point is a straight-line segment or a point that is not on a straight line.

Examples of non-collinear points: A simple example can illustrate non-collinear points. If you take a few points, try to draw a single straight line, and fail, you have a non-collinear point.

### 3. Concurrent Points

A concurrent point is formed when two or further lines cross at a spot. Consider the points P, Q, R, and S, as well as the line P- R- S crossed at point A. This point, A, is appertained to be a concurrent point.

### 4. Points that are coplanar

As the name implies, coplanar points lie on a plane. A minimum of three points are required to check coplanar points. According to the three-dimensional figures, all three points are coplanar.

Coplanar Point example -Consider four points on a table; this signifies that all the points are on the table's surface. As a result, these are coplanar points.

## Coordinates of a point

A point's coordinates are pairs of numbers that define its exact location on a two-dimensional plane. Note that the coordinate plane has two mutually perpendicular axes, the x-axis and the y-axis. The coordinates of a particular point give the point's distance along each axis.

### Pair that has been ordered

The coordinates are represented as "ordered pairs." P represents the point's name and distinguishes it from other points.

### Ordered pairs giving the coordinates of the points

The numbers in brackets represent the x and y coordinates of the point. The first number (x) indicates how far the location is along the x-axis (horizontally). The second is the y-coordinate, which defines how much the y-axis moves up or down. Because the order of the two integers is important (the first integer is always the x-coordinate (horizontal)), we describe ordered pairs.

The coordinate's sign is critical. A positive number indicates that you should proceed to the right (x) or up (y). Negative numbers indicate that you should travel left (x) or down (y).

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