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Question 3: What do we need to coordinate geometry for?Īnswer: Coordinate geometry is needed to offer a connection between algebra and geometry with the use of graphs of lines and curves. As his Latin name was Renatius Cartesius, thus we learn that the terms ‘Cartesian plane’ and ‘Cartesian coordinate system’ were a derivative of this man’s name. He was referred to as the father of analytical geometry due to his contributions to the field. Question 2: Who is the father of coordinate geometry?Īnswer: The father of coordinate geometry was René Descartes. Question 1: What is the name of horizontal and vertical lines that are drawn to find out the position of any point in the Cartesian plane?Īnswer : The name of horizontal and vertical lines that are drawn to find out the position of any point in the Cartesian plane are determined by x-axis and y-axis respectively.

Define the equations of ellipses, curves, and circles.

Transform the shape by reflecting, moving and rotating it.

Find the perimeter and the area of the polygon formed by the points on the plane.

Determine if the given lines are perpendicular or parallel.

Find the equation, midpoint, and slope of the line segment.

Determine the distance between these points.

If you know the coordinates of a group of points, you can do the following: Things That Have Been Made Possible By Coordinate Geometry You have to write the x coordinate ahead of the y coordinate. Please note: The order of the points on the plane is crucial. Often these points are also regarded as the “rectangular coordinates”. These are also the coordinates of the point A. So, in the figure above, the point A has a value 20 on the x-axis and value 15 on the y-axis. Together, the two will determine a single and unique position on the plane. So, first, you have to write about its location on the x-axis followed by its location on the y-axis.

When you have to locate a point on the plane, it is determined by a set of two numbers.

Similarly, on the y-axis, the values located above the origin are positive and the values located below the origin are negative.

The values on the right-hand side of the x-axis are positive and the values on the left-hand side of the x-axis are negative.

The point of intersection of the x and the y-axis is known as the origin.

This is similar to the concept of the rows and columns that we discussed in the first part above. The figure above has two scales – One is the X-axis which is running across the plane and the other one is the y-axis which is at the right angles to the X-axis.

In the coordinate geometry, all the points are located on the coordinate plane.

So, when you have both of them, you can find one single box that is the point where the rows and the columns intersect each other.ĭownload Coordinate Geometry Cheat Sheet Belowīrowse more Topics Under Coordinate Geometry You need to understand that there are several boxes in every row and several boxes in every column. The box has two parts – one is the row and the other is the column. Here, D and 3 are the coordinates of this box. You can see that the letter X is located in the box D3 i.e. On the other hand, the rows are numbered as 1, 2, 3, 4, 5, 6, and so on.

The columns of the grid are labeled as A, B, C, D, E, F, etc. Now, to help you understand the coordinates, take a look at the figure below.