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In geometry, ancient mathematicians developed the idea of line or straight line to represent straight objects with limited breadth and depth. A line in the plane is commonly characterized as a group of points whose coordinates satisfy a certain linear equation; nevertheless, a line can be an independent object apart from a set of the point that lie on it.
Geometry
Geometry is the study of item sizes, shapes, placements, angles, and measurements. Examples of flat geometry include squares, circles, and triangles, which are referred to as 2D shapes. These forms are merely two dimensions long and wide. Because they have three dimensions of height or depth, solid things are also known as 3D objects.
Coordinate Geometry
Every site on Earth has coordinates that allow us to locate it quickly on a globe map. The starting points for this coordinate system are zero degrees ‘Greenwich Longitude’ and zero degrees ‘Equator Latitude.’ We have coordinate axes with a horizontal x-axis and vertical y-axis when we locate any point in the plane. The study of geometric figures using coordinate axes can be defined as coordinate geometry. The Straight lines, the curves, the circles, the ellipses, the hyperbolas, and the polygons can all be readily drawn and scaled in the coordinate axes.
Point
A point is a position represented by a dot in geometry. A point has no length, width, shape, or size; it merely has a place. When two separate points are joined, they form a line. Understanding geometry figures requires an understanding of points and lines. We can label and identify geometric figures using points. A point is defined as a place in any space and is represented as a dot (.). It has no length, height, shape, or size. It indicates the start of drawing any figure or shape and is designated with capital letters.
Line
A line is formed when two separate points are joined. We can draw the figures with the aid of lines. A line is defined as a set of points connected by a straight path. The line will also be defined by two points. It can be represented by a single lowercase letter or by two capital letters. A line has no thickness and can extend in both directions forever. A line’s length is undefined, and it can have an unlimited number of points. To understand the difference between a point and a line.
Types Of Lines
Just as there are many sorts of points, there are different types of lines that may be clearly differentiated by their distinct features.
Parallel lines: If two lines reside in the same plane but never intersect, they are said to be parallel lines. Alternatively, if two lines do not overlap at any point, they are considered to be parallel lines.
Intersecting Lines: When two lines come together at a point, they are considered to be fascinating lines.
Perpendicular lines: Perpendicular lines are formed when two intersecting lines meet at a 90-degree angle. Similarly, if the angle between two lines is 90, they are perpendicular to one other.
Horizontal Lines: Horizontal lines can be defined as the lines that are drawn horizontally.
Vertical Lines: Vertical lines can be defined as the lines that are drawn vertically.
Oblique Line: An oblique line is a diagonal or slanted line. It is not, however, perpendicular, parallel, vertical, or horizontal.
Intersecting Line: On the other hand, intersecting lines are two or more pairs of lines that are on the same plane and intersect at the same place.
Transversal Line: A transversal line is a line that, at a given location, connects two or more parallel or non-parallel lines. Parallel and transversal lines must be on the same plane.
Curved Line: A Curved Line is a group of collinear points that has a curve or bend in its creation.
Some Important Terminology related to a line in coordinate geometry
Ray: A ray is a one-dimensional figure with a set beginning point. It does not, however, have an endpoint.
Line Segment: A line segment is a section of a line with two specified endpoints in both directions and a fixed length.
Conclusion
There is just one fixed point on a ray.
A line segment is a fixed point and has a fixed length of the line.
The angle between the perpendicular lines is always 90 degrees.
Parallel lines never cross.
An infinite number of points make create a line.
A line has no breadth or thickness. It can only stretch indefinitely in length.
A line segment is formed when two points are placed at either end of a line. Furthermore, when we place one point at one end and an arrow at the other, we produce a ray.
Collinear points are defined as three or more points on the same line.
