A Scientist goes into space in a rocket, there will be some calculations in which angle on what point they will reach, the axis in which orbit they travel etc. To understand such complex topics, we need to understand first what is pace, what is an angle, etc. Geometrical concepts are phenomenal for understanding and elaborating physics concepts, such as angles, axis, and studying different dimensions.
Geometry is a concept from the ancient Greek mathematicians, which has the meaning of Geo= Earth, and Metry= measurements. We could calculate the distance around the circle, a triangle and different kinds of shapes.
Geometry includes the curriculum of points, lines and angles. It starts from the VI standard for the students, from the basics to the advanced diagrams.
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From Class VI:
Class VI has basic Geometry concepts and the syllabus includes topics like Basic definitions of the terms used in geometry like mentioned in the above picture, Points, Lines, rays etc. Students study about the square, rectangle, and how to find the area and perimeter if it till V standard.
Now, the students will learn in-depth about different Polygons, Polygons are the closed body or curves, which are made of line segments. The line segments have three sides as triangles, four sides as Quadrilaterals like rhombus, square, rectangle, parallelogram and trapezium, and five sides as Pentagon, six as Hexagon and so on.
Angles of the polygons like triangles and quadrilaterals, calculating the sides and area are mentioned in Class VI. The circles and the terms and definitions included radius, diameter, circumference, chord, sector and segment.
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Learning about the Intersecting and Parallel Lines, Rays, finding out angles etc.
Exercises of drawing line segments, parallel, perpendicular line segments, Constructing triangles based on the sides, and angles, writing the steps involved in drawing.
Drawing a cat is a good example of a fundamental drawing that may be applied in real-world situations because cats have many linear, triangular, and angle-shaped elements.
Class VII geometry is practical where we draw geometrical figures like polygons. Learning about the congruence of triangles, line segments, this chapter might be useful for one mark or three marks questions in the exam, whereas the construction and practical geometry could be of higher marks.
Finding out the area and perimeter of the circle, polygons like triangles, squares, rectangles, parallelogram and rhombus also have their circumference. Such problems are mentioned in the text and the syllabus which is mostly useful to ace the exam.
Practical Geometry, like constructing and drawing polygons based on the sides and angles. Knowing the terms of adjacent sides, bisection etc. to enhance and learn for good classes.
The visual understanding of the shapes, like a cylinder, cuboid, hexagonal blocks etc.
The construction and drawing of the figures of geometry, increasing level from class VI. Different sides and angles are given in the Geometry section.
Euclid’s Geometry is mentioned in Class IX Geometry chapter 5. In two dimensions, geometries are of three types, Euclidian, Spherical and hyperbolic, this chapter is basically of Euclidean Geometry. Here, we learn to calculate the distances or define them in more than the elementary geometry concepts.
The Geometrical shapes, different axioms, and theorems are given in this Euclid Geometry. Euclid’s Geometry introduction, Postulates and Theorems, Properties of point and lines, Parallel Line, Intersecting Lines, Line segment, Interior point of a line segment, Congruence of line segments, Length axioms of a line segment, Distance between two points are the topics in chapter 5 of Euclid’s Geometry.
Addressing the points on two dimensional and three-dimensional planes and determining straight lines and their equations is all about the Coordinate geometry. The syllabus consists of the triangles, circles, constructions, properties of triangles and circles, Steps involved in the construction, observing the adjacent angles, drawing or identifying hypotenuse and other sides of a triangle.
Equations of a straight line, slope, Two dimensional and three-dimensional planes, and the pointing of the points in the planes, determining the area through points, slopes, midpoint, trisection etc are dealt with in the chapters of coordinate geometry.
Class XI Geometry includes Co-ordinate Geometry as chapter three in the CBSE syllabus. Coordinate Geometry talks about the straight lines, in 2-dimensional geometry. The slope of a line, angle of a line, equations of a line, angles to the point, slope-intercept form, point-slope form, Distance of a point from a line.
The other unit of Coordinate Geometry has Conic sections and three-dimensional geometry. The axis of x and y goes into 3 dimensions with the x,y and z-axis of planes. The conic sections, where the sections of a cone, circles, parabole, hyperbola, ellipse etc. and properties of them.
Chapter 11 of Class 12 of Maths, deals with three-dimensional geometry. Cartesian equations, vector points, Skew lines etc are mentioned in this chapter. In this class, a student will get to learn more about 3-dimensional geometry, applications and how the axis, equation lines are used.
RS Aggarwal Solutions:
RS Aggarwal Solutions has easily understandable solutions. From class VI to class XII, this book has solutions for every chapter for Maths subject. They are conceptual and are designed by experts based on the curriculum.
The syllabus is divided into more chapters depending on the topic’s length, and complexity. For example, for class VI maths with 14 chapters, RS Aggarwal Solutions has 24 chapters. The chapters like Practical Geometry and Geometry figures like polygons are divided into topics of the triangle, quadrilaterals, circles, the concept of area and perimeter etc.
For class VI, VII, VIII have chapters with Geometry concepts, like Shapes of Geometrical figures, Polygons like triangles, quadrilaterals etc. Line segments, points and angles, calculating the area and perimeter, everything of basic concepts are discussed in detail.
The basic terms and their definitions, with examples and the solutions, are better for understanding and also helpful in the exams.
Class IX and X have Coordinate Geometry where students are made to learn about the two dimensional, three-dimensional planes, axis points, slope, equations, finding the area with slopes and given coordinates.
From class X, Geometry chapters have two units of Coordinate geometry, Equations straight lines and two dimensional and three-dimensional geometry. Chapter 16Coordinatee Geometry RS Aggarwal Solutions helps students to understand the coordinates, solve the equations, area etc.