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Table Of Content
- Dimensional Definition
- What are the Different Geometric Branches?
- Geometry of Planes (2D Geometry)
- Geometric Angles
- Different Angles
- Polygons
- Types of Polygons
- Formulas for Geometry
Dimensional Definition
The phrases "geometry" and "metron," which refer to measuring and the Earth respectively, are derivations of Ancient Greek. In terms of distance, form, size, and the relative placement of objects, geometry is concerned with the qualities of space. The fundamental concepts of geometry primarily rely on points, lines, angles, and planes.
What are the Different Geometric Branches?
The following are the branches of geometry:- Geometry in algebra
- Simple geometry
- Geometry that differs
- Geometry in Euclid
- Convex geometry
- Topology
Geometry of Planes (2D Geometry)
Flat, paper-drawable forms are referred to as plane geometry. These consist of two-dimensional lines, circles, and triangles. Two-dimensional geometry is another name for plane geometry. Squares, triangles, rectangles, circles, and lines are examples of 2D geometry. The characteristics of the 2D forms below are provided to you in this section.Point
A point is an area or position on a plane. Typically, a dot stands in for them. It's crucial to realize that a point is a location rather than a thing. The point is the lone place and has no dimensions.Line
The line has no thickness, is perfectly straight with no bends, and goes on forever in both directions.Geometric Angles
Angles are created when two lines, referred to as rays, cross at the same location. It is referred to as the angle's vertex.Different Angles
- An acute angle is a smaller angle than a straight angle, ranging from 0 to 90 degrees.
- Obtuse Angle: Obtuse angles are those that are more than 90 degrees but less than 180 degrees.
- A right angle is a 90-degree angle.
- Straight Angle - A straight angle is the angle created by a straight line, and it has a degree of 180.
Polygons
Any form figure with at least three sides and three vertices is referred to as a polygon. The words "poly" and "gon" both imply "many" and "angle," respectively. Consequently, polygons have a lot of angles. The type of a polygon determines its area and boundary. The figures of sides and vertices are said to serve as the foundation for the distribution of polygons.Types of Polygons
The many kinds of polygons are:- Triangles
- Quadrilaterals
- Pentagon
- Hexagon
- Heptagon
- Octagon
- Nonagon
- Decagon
In the table below, we've described the attribute as well as given instances of polygons with those features. Candidates can use these graphs to assist them in studying geometry questions on various competitive examinations.
| Triangle | a triangle with three sides whose internal angle total is always 180 degrees. |
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| Quadrilateral | A quadrilateral polygon has four sides, four edges, and four vertices. The total of its internal angles is 360 degrees. |
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| Pentagon | A plane figure with five straight sides and five angles | – |
| Hexagon | A plane figure with six straight sides and six angles | – |
| Heptagon | A plane figure with seven sides and seven angles | – |
| Octagon | A plane figure with eight straight sides and eight angles. | – |
| Nonagon | A plane figure with nine straight sides and nine angles. | – |
| Decagon | A plane figure with ten straight sides and ten angles. | – |
Formulas for Geometry
Every figure and shape in geometry has a unique formula for calculating its area and perimeter.
Applicants must complete the many geometry-related problems in the Quantitative Aptitude part of competitive examinations.
Below is a table listing all the key geometry formulae.
| Shape | Area | Perimeter |
| Rectangle (l= Length and b= breadth) | (l*b) | 2(l+b) |
| Square (a is the side of the square) | a2 | 4a |
| Triangle (a,b and c are sides of the triangle) | 1/2 (b × h) | a + b +c |
| Circle (r = radius) | πr2 | 2πr (Circumference of Circle) |
| Parallelogram (a = side, b=base,h=vertical height) | A = b × h | P = 2(a+b) |
Also, check,
What is the Triangle's area?
A triangle's area is equal to 1/2(b h).What kinds of angles are there?
Acute, obtuse, right, and straight angles are the four different types of angles.
What is Geometry?
A subfield of mathematics known as geometry deals with the dimensions, sizes, angles, and forms of objects.
