Question

Write the answer of each of the following questions:
(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect.

Answer 1

Hint: To solve the following question, one needs to be clear with the concepts of the Cartesian plane like x-axis, y-axis, origin and quadrants of the Cartesian plane. Once we know the basic definitions of these terms, we can answer the following sub-parts of this question.

Complete step by step answer:
Before we begin solving this question, we should be aware about the basic concepts of the Cartesian plane. A Cartesian plane is defined by two perpendicular number lines- the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers. The Cartesian plane extends infinitely in both directions. The location of any point is described by (x,y) co-ordinates which give the distances of the points from the y-axis and x-axis. For example, (2,5) means that the point is 2 units distance from the y-axis and 5 units distance from the x-axis in the first quadrant. The information about the quadrants is given below labelled I, II, III and IV.

(i) The name of the horizontal line to determine the position of any point in the Cartesian plane is the x-axis and the name of the vertical line to determine the position of any point in the Cartesian plane is the y-axis.

(ii) The part of the plane formed by these two lines are the quadrants (as can be seen on the figure above).

(iii) These lines intersect at the origin.

Note: It is important to be aware about the basic concepts of the Cartesian plane involving x-axis and y-axis. This helps a great deal in representing various points and ultimately understanding a geometric problem more efficiently. For example, we are given four vertices – (0,0), (1,0), (1,1) and (0,1). By representing them effectively on the Cartesian plane, we can see that it is a square which helps us greatly in visualizing a problem.