What is a point in geometry?


Maths is one of the most important subjects for students that are included in every curriculum irrespective of the school's board. It gives the student an understanding of the numbers that are needed in everyday life and is useful even when they pursue their jobs in various sectors.

Geometry is one of the important subtopics in maths that helps students decide the materials and design of some structures. They practice it on pen and paper in schools and colleges, but in the long run, for students who intend to pursue a career in engineering, this chapter plays a significant role in building houses, ensuring proper ventilation, comfort besides its looks. Students are taught to learn measurements through the use of geometrical tools such as a ruler, protractor, rounder, and divider for drawing accurate figures and making the corresponding calculation. Learning this creates the foundation for professions like architects and builders.

Is learning Geometry tough for beginners?

How important is the accuracy of answers while drawing Geometrical figures?

What is the approximate time needed for a student to master different chapters in Geometry?

These are just a few of many questions that would be popping up in your mind. Though Geometry is undoubtedly one of the most interesting topics in maths, some students find it tough. So, in this article, we will see how you can easily learn this with the help of the best tutors like Cuemath.

 

How geometry helps students?

Being thorough in this chapter not only helps students in scoring well in maths, but it also has numerous other benefits as enumerated below:

i.Spatial use:

Learning geometry imparts spatial knowledge to students by which they can easily understand and analyze areas related to space, position, shape, and size.

ii. Application in measurements:

The chapter prepares them to accurately measure things in practical life by making them aware of lines, angles, surfaces, solids, as well as the relation between them.

iii. Better visualizations:

Whenever someone speaks about different shapes and sizes of some objects, they can visualize them in a much better way

iv. Use in scientific and technological fields:

Besides benefiting them in their student life, geometry also helps them in their work-life when they need to apply the principles of geometry in doing various complex analyses at the workplace in fields of advanced and specialized study. Also, geometry strongly influences 3-D thinking because of which today we can find 3D animations, movies, pictures, puzzles, and other such things.

v. Perfectly uses the potential of the brain:

This is because both sides of the brain are used for solving problems in geometry, unlike other things where only either the right or left side of the brain functions actively. The left side thinks logically, but the right side visualizes concepts and enables creative thinking. Mostly everyone does not have the potential to use both sides of the brain, but geometry lets you explore that domain.

Some basics of geometry:

Types:

  • Plane geometry:

It deals with flat shapes, such as line, circle, triangle, and others, which can be drawn on a paper.

  • Solid geometry:

It deals with 3 D objects such as a prism, cylinder, sphere, cubes, and prisms.

 

What is a point in geometry?

Point is a dot on a paper or plane, denoted by a letter in the English alphabet. Since it is just a dot, it is zero-dimensional, i.e., its length, width, and height are zero. This is used only for specifying an accurate location. A point is considered as an element of a set space on a plane.

Types of points:

Points are of two types based on how they are located:

i.Collinear points:

These are the points located on a straight line.

iii. Non-collinear points:

These points are haphazardly situated on a plane but are never on a straight line.

 

Other terms in geometry:

  • Ray

This is a geometrical representation of a point that moves endlessly in one direction. So, for a ray, the origin is a point, but it doesn't have any endpoint. You can call it a portion of a line, which we will see in the next point.

  • Line:

It is a straight path that doesn't have any ends in both its ends. In other words, it extends endlessly in both directions.

iii. Line segment:

This forms a part of the line but has fixed endpoints on both sides. So we can say that a line segment has a certain length,

  • Plane:

It is a surface having two dimensions only, so the height is zero. Just like the line, a plane extends indefinitely on all sides. We can say that an infinite number of lines together make up a plane surface.

  • Midpoint:

A midpoint is always associated with a segment. It divides the whole segment into two equal parts.

  • Angle:

When two rays have a common point of origin and do not coincide, an angle is formed, represented as ∠. The angle's common point is termed as 'vertex' and the two rays forming the angle are known as arms.

Types:

There are 4 types of angles as enumerated below:

  • Right angle:

It is the 90-degree angle.

  • Acute Angle:

It is an angle of less than 90 degrees. It ranges between 0-90 degrees.

  • Obtuse Angle:

This angle ranges from 90 to 180 degrees.

  • Straight angle:

It is a 180-degree angle.

vii. Parallel lines:

When you take two lines and ensure that the distance between them remains constant, the pair is known to be parallel lines.

viii. Intersecting lines:

When two or more lines cross each other at some point, then those lines are known as intersecting lines. The point at which they intersect one another is termed as the 'point of intersection.'

  • Degrees:

It is the unit of measuring an angle between any two adjacent sides in a geometrical figure.

  • Tick marks:

These symbols appear like '11' or '1' and indicate the congruency of sides in two figures. These marks are also referred to as "hatch marks."

  • Faces:

These are the flat surfaces in various geometrical shapes.

xii. Edges:

A line segment on the boundary of a 3 D shape that joins one vertex with another is termed as an edge. In other words, an edge connects one corner point with another in a 3D skeleton,

xiii. Similarity:

Two geometrical figures are said to be similar when they have the same shape and same single, but their sizes vary.

xiv. Congruence:

When two geometrical figures are congruent, it implies that their shape and size are the same, so they are completely equal.

 

Tips to excel in geometry:

A few simple tips that students need to remember for excelling in geometry or any other topics in maths are explained below:

Choose a good tutor:

In schools, classes have limited time, and not all students can grasp the subject matter in such a time constraint. This is why it is important to opt for tutors outside the class, such as Cuemath, which makes sure that the students have strong fundamentals, and they will be able to solve even the toughest problems easily.

Refer to various resources:

Once the tutor has taught the subject, the work is not over; the students have to refer to multiple books and online resources to know different types of questions, solve them to enhance their efficiency and confidence level.

Appear for online tests:

Students have to appear for various competitive exams after school, so why not start preparing for them right now? For this, students can appear for various online exams so that they can see how well their performances are and accordingly focus on their weak points.

 

Final words:

While learning any subject or a particular chapter of some subject, students should freely ask questions to the tutors. An ideal tutor always welcomes the doubts of students and clarifies them to make sure that they do not face any hurdles while preparing for their exams. Geometry is made easy with Cuemath as the educational website offers a good platform for the students to have a clear idea about various topics in maths. Since, clarity of concept is the first and most important thing in solving various complicated problems, parents and students must understand this and see if they are getting the right guidance to remain on the right track and score well in exams.

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1 Comments

  1. Thank you, for this information
    The blog is very informative. looking forward to reading more from you thank you


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