Geometry is the study of shapes, sizes, dimensions etc. Geometry helps to understand different shapes and figures we see around us. It is a fun way to develop the skills of drawing at the very basics. Here at Cuemath, you will get answers to all your questions from different areas of Geometry. We provide the required information in a basic and interesting manner to solve your queries related to Geometry formulas and examples.
Geometry studies include study on different topics such as lines, angles, points, polygons, circles, edges and verticals etc. Here we will learn about Lines as a part of Geometry. Lines can be seen in every object or a figure you have around. Lines help to shape objects by giving them definition and a start or an endpoint. Objects we can draw with the help of Lines include a square, a rectangle, a triangle, a hexagon, a polygon, a plane, an octagon and many more. Let’s move forward and learn more interesting facts about Lines and its different types.
What is a Line?
When we look around, we see different objects and figures of different sizes and shapes. The mass and dimensions of these objects are different. However, we can also observe one common property of these objects, i.e. “Lines”. We can always see small or lengthy lines on the surface, structures or appearances of the items.
A line is a straight path without any bends on it. A line is one dimensional and has zero thickness. The one dimension of the line is its “Length”. It extends in both directions infinitely. This means that a line never ends and stretches in both directions. This states that a line has no ends. The number of points a line can have is infinite. Points that are placed on the same line and are known as Collinear Points.
Properties of a Line
No End Points
Extends in Both Directions
Infinite no. of Points
What is a Ray?
A Ray can be understood as a part of a line. It can be seen as that portion of a line which is t in one direction. Observe that a line has no endpoints, but a ray has an endpoint, this is the basic difference between a line and a ray. A Ray extends indefinitely in a direction other than the endpoint. Therefore, we can say Ray is a part of a line with one endpoint only.
What is a Line Segment?
Let’s look into the concept of a line segment. Take a look at a thread. Cut the thread in a specific size and observe its two endpoints in both directions. This thread appears to be a line but has two endpoints. This is called a Line Segment. Part of a Line, having two endpoints in both directions is called a Line Segment. More simply, a Line having ends is known as a Line Segment.
Difference between Line, Line Segment and Ray
Don’t get confused between Line, Line Segment and Rays. They appear to be similar in some sense but have differences that separate them. Let’s recall the differences between Line, Line Segment and Rays.
We cannot measure the length of a Line and a Ray.
We can measure the length of a Line Segment.
A line has no endpoints and stretches indefinity.
A Ray has one endpoint and a Line Segment has two endpoints.
Both Line Segment and Ray are parts of a Line.
A line segment does not extend in both directions, but a Line does.
Length of a Line is indefinite where else length of a Line Segment is definite.
A line does not have an end and start point, but a Line Segment has both an end and start point.
Types of Lines
When we have a look around us, we see different types of lines defining and structuring objects. Lines form a very important and basic part of geometry. The understanding of lines also helps in drawing, structuring and other aspects. There are different types of lines around us that help shape the world we live in. Now you may wonder how lines help in shaping the world or the objects around us.
Think deeply, what if we had no lines? What if the objects around us were shaped without any particular structure and defining? Lines are used in shaping almost every object we see. Lines are used in shaping and defining boxes, squares, triangles, rectangles, polygons, hexagons and so on. Here we will study different types of lines in shaping objects near us.
A line is said to be Horizontal when it stretches from left to right. A line is Horizontal if it is parallel to the X-axis on a graph paper or a plane. Horizontal lines do not intersect the X-axis.
Vertical Lines are the lines that are parallel to the Y-axis. These lines stretch from top to bottom or bottom to top. They do not go in a left or a right direction. They rather go upwards and downwards. They have no slope and intersect the Y-axis for any given point on a graph paper.
Lines are said to be parallel when they do not intersect each other at any point. Parallel lines are straight.Lines are said to be parallel when they do not cross each other’s path. The distance of perpendicular between two given parallel lines is always constant.
These lines are the contradiction to Parallel Lines. Lines are said to be perpendicular when they intersect each other at a right angle. The point of intersection of perpendicular lines is called “Foot of Perpendicular”. The property of being perpendicular for lines is termed as “Perpendicularity”. These lines never coincide with each other and always stay perpendicular.
Two lines are said to be intersecting each other when they cross the path of each other only at one point. These have only one common point, which is called the “Point of Intersection”. Intersecting lines are not parallel to each other. These lines can intersect each other at the perpendicular, forming a right angle at the point of intersection
These are the lines which lie exactly on the top of one another. These lines have more than one or infinite common points between each other. These are different from parallel lines. The parallel line never intersects and coincides lines lie on top of each other. These lines appear to be a single line but are two or more in reality.
When three or more than three lines intersect each other at one single point, then these lines are concurrent to each other. These lines share the common point as the point of intersection. It is called the “Point of Concurrency”. An example of a Concurrent Line is a Triangle. Concurrent lines are different from Intersecting Lines. Three or more lines are required to pass through a single point to be called concurrent. Whereas, only two lines are required to intersect each other to be Intersecting Lines. The point of intersection for a concurrent point (single point) is called a Point of Concurrency, whereas it is Point of Intersection for Intersecting Lines.
A line is said to be transversal when it crosses two other lines. A Transversal Line can cross any two lines either parallel, intersecting or perpendicular lines. Each line is crossed over at two different points lying on the other lines. When a transversal line cuts across two parallel lines at right angles, it is called a “Perpendicular Transversal Line''. A common example of a Transversal Line is a road that crosses the railroad tracks.
Lines that are not vertical, horizontal, parallel or perpendicular to other lines are known as Oblique Lines. These lines are slanting and neither go in an upwards or downwards direction or left or right direction. These lines form angles that are not Zero, Nighty, One Eighty or Two Hundred and Seventy Degrees. Angles formed by these lines are called Oblique Angles.
We hope learning about lines, and its different types were fun. Now we can understand the importance of lines in different shapes and figures. Recall these different lines whenever you come across an object and identify the line within those shapes. To Learn more about Geometry Formulas and Examples keep visiting Cuemath.