Rectangular coordinate system

In mathematics,Previously we have discussed about column addition worksheets and In today's session we are going to discuss about Rectangular coordinate system which comes under andhra pradesh education, Graph can be considered as an important tool that provides the visual representation of the data. Basically graphs are used for representing the relation between two or more variables like x and y variables. In mathematics, normally two dimensional graphs are used for representing relationship between two or more variables. In the concept of graph, rectangular coordinate system is popularly known as Cartesian coordinate system or x-y coordinate system. According to rectangular coordinate system definition, it is a system in which coordinate point having a distance form a set of perpendicular lines. A rectangular coordinate system consist four quadrants, dual perpendicular lines that is a horizontal line and a vertical lines and they also has the origin point.
In graph horizontal lines are called as x – axis and vertical lines of the graph are called as y axis of the graph. When the both x – axis and y axis of the graph crosses each other than that point are known as origin point. In mathematics, rectangular coordinate system is used for representing all the values which are generated by the graphical equations. To represent the value of an equation we need to create a table of values which are generated by the graphical equations.
Rectangular coordinate system is split into four quadrants. In this system all the values are associated with the ordered pair. In ordered pair x coordinate considered as first value and y coordinate considered as second value. In rectangular coordinate system, the 1st quadrant contains the positive value of x and y axis. In the same aspect 2^nd quad contains the negative x and positive y. In the same aspect the quad 3^rd and 4^th is working as inverse of quad 1^st and quad 2^nd.
Example: Plot the given ordered pairs on the graph?
                           X (2, 3), Y (-2, - 3)
Solution: In the 1^st ordered pair both value of x axis and y axis contains the positive value that why this pair plotted on the 1^st quad. In the same aspect 2^nd ordered pair contains the both negative value of x and y axis then this pair lies in 3^rd quad.
In the next session we will discuss about Sketching and modeling and You can visit our website for getting information about algebra tutor.

Properties of 2-d and 3-d figures

Hello students. In this session we are going to discuss ob the topic of Properties of 2 d and Properties of 3 d figures. But before starting it you should be familiar with the terms of 2D and 3D. 2D is the shapes that can be drawn on the plane paper and 3d shapes can not be and to be more precise 2d shapes is 2d dimension and 3d shapes is 3 dimensions. We can not handle the 2d shapes in our hand because they are the flat shapes but we can handle the 3d shapes.
The most important difference between them is that a 3d shapes have three axises such as x, y and z whereas 2d shapes have just two axises that is x and y.   (know more about cbse sample papers, here)
Let’s talk about the properties or dimension of 2 d and 3 d figures.
2d figures has two properties or dimensions such as length and width and 3d figures has three properties or dimensions such as length, width and depth.
Circle, triangle, square, rectangle and any polygons follow the 2d properties, because they are 2d shapes.
Sphere, prism, cuboids, cube, cylinder, pyramid and cone follow the 3d properties because they are 3d shapes.
Although every shape of 2d and 3d have different properties for example: -
Some 2d Shapes                                  Properties
Square                                                 4 sides, closed figure, 2 sets of parallel line
Triangle                                                3 sides, closed figure
Rhombus                                              2 sets of parallel line, polygon, 4 sides of equal measure

Some 3d Shapes                                  Properties
Cube                                                    6 congruent faces, 12 vertices,
Cylinder                                               2 circle faces
Rectangular prism                                 6 faces, 8 vertices
Although we have so many 2d and 3d figures and shapes, but here it is not possible to discuss all of them.
I hope that make sense.
In the next session we will discuss about Complementary/supplementary angles.