A Point In Geometry Definition
In geometry, points and lines are the fundamental concepts that we need to learn before we learn most different shapes and sizes. A point is a dimensionless shape, since it represents a dot only, whereas a line is a 1-dimensional shape. Both points are lines used to draw different shapes and sizes in a airplane. These shapes tin can be two-dimensional or iii-dimensional.
What is a Point?
A bespeak is a dot in a plane or a piece of newspaper. A point does not have whatsoever length, width or tiptop. It determines the location or position in a airplane.
Put a dot on a paper and mark it as A or with any capital letter, to testify a point. Now if you desire to evidence three different points, and so put iii dots on a paper and mark them equally X, Y and Z. Nosotros can read these points as point Ten, point Y and point Z.
Types of Points
At that place are unlike types of points in geometry, such as:
- Collinear and Non-collinear points
- Coplanar and Non-coplanar points
Collinear points lie on the same line merely non-collinear points do not prevarication on the same line.
Coplanar points line on the aforementioned plane but non-coplanar points do non lie on the aforementioned plane.
What is a Line?
A line is a direct path formed by connecting a gear up of points in a plane. It is a 1-dimensional shape that has length just no width and height. A line extends infinitely in both ends towards opposite directions. Nosotros can use upper case letters to denote a line. Also, a line tin be marked with a unmarried small letter, such as 1000, l, etc.
For example, AB is a line but we can too marker information technology every bit 'm'.
Types of Lines
The dissimilar types of lines can be categorized into:
- Intersecting lines
- Parallel lines
When two lines pass through the same point and then they are called intersecting lines. It means the two lines cut or intersect each other at a unmarried point. Meet the below diagram of intersecting lines.
When two lines practice not see each other at any point, then they are called parallel lines. An instance of parallel lines is a scale or a ruler that has its reverse edges parallel. Another example is the rail lines.
- 2 lines cannot meet at more than than one point
- Two or more than lines can intersect at a unmarried point
A Line Segment and A Ray
A line segment is a line that has 2 definite endpoints. If a line segment has two endpoints A and B, and so it is denoted by AB bar.
A ray is a line that starts from a bespeak and extends indefinitely in a direction. It has only one endpoint.
An example of a ray is a torch light that starts from an finish and goes incessantly in 1 direction.
Practice Problems
- Mark the points in a airplane: Indicate A, Bespeak B and Point C.
- Mark the points A, B and C, that are collinear.
- Give examples of points that are non-collinear.
- Draw intersecting lines AB and CD, and mark the intersection bespeak every bit O.
- 2 lines l and m are parallel to each other. Depict the 2 lines.
Ofttimes Asked Questions on Points and Lines
What is the signal?
A betoken is a dot marked on a plane that represents the position.
What is a line?
A line is a series of points that are connected by a straight path and extend infinitely in the contrary directions.
What are points on the aforementioned line chosen?
The points on the aforementioned line are chosen collinear points.
How many points make a line?
Nosotros demand at least two points to determine the line.
Do lines have endpoints?
Lines exercise not have endpoints. They extend endlessly in the reverse direction.
What are the backdrop of points?
A point has zero size. It is dimensionless. It does not have length, width and height.
A Point In Geometry Definition,
Source: https://byjus.com/maths/points-and-lines/
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