We’ve all had experiences in which we had to find our way using street signs, a map, or an app. But have you ever wondered how we humans find our way using such tools? The answer is that we use our understanding of coordinate geometry to do so. You might have heard the term “geometry” and had the image of a chalkboard and a bunch of complex figures.
When most people think about geometry, they think about shapes: triangles, circles, squares. But geometry also encompasses a system of rules that describe how shapes relate to each other. In other words, coordinate geometry is the study of the points, lines, and planes in the world, and the relationships between them. The coordinate system we use today was invented by René Descartes in the 17th century and is based on a simple grid system.
Coordinate geometry is a branch of geometry concerned with points on the plane and the lines that can be drawn through those points. Any shape can be identified with a set of coordinates, and coordinate geometry is used to determine the locations of points and the lines that pass through them.
What is the Coordinate of a Point?
The position of a point is defined as the location of a point in space, relative to other points in space. The coordinates of a point specify where the point is relative to the Cartesian plane (x, y). The two Cartesian coordinates specify the position of a point in two dimensions. The position of a point in Cartesian coordinates is often written as (x, y).
- Abscissa– The abscissa is the horizontal line in a graph. It is usually the x-axis, which is the first measurement scale on a graph. The abscissa is where the numbers are listed on a graph, on the x-axis, and is the distance of the point from the x-axis.
- Ordinate– The ordinate is a line that connects a point on the graph to the y-axis (the horizontal axis of the graph). The y-value of the point on the graph is found by measuring the perpendicular distance from the point to the y-axis (the horizontal axis of the graph).
Some Formulas in Coordinate Geometry
Coordinate geometry formulas are a group of formulas used in coordinate geometry. These formulas can be used to transform any pair of coordinates from one coordinate system to another. Some of the most used formulas in coordinate geometry are as follows.
- Distance Formula– The distance between two points can be calculated using the geometry distance formula. The formula uses the distance between the two points, known geometrical facts, and the coordinate system of the map. The formula is used to determine the distance between two points on a map which is often needed for map navigation and route planning. The formula is also used to calculate the distance between two points on the surface of the Earth, which is often needed for engineering and scientific applications.
- Slope Formula– When it comes to figuring out the slope of a line, several methods can be used. One of the most commonly used methods is the slope formula. This formula is used to calculate the slope between two points on a line and is one of the most basic formulas used in mathematics.
- Mid-point Formula– The mid-point formula is a simple way to calculate the midpoint of a range. It is useful for determining the location of a data point that lies in the middle of a range. It can also be used to determine the location of the unknown quantity in a question.
Thus, if you want to learn more about coordinate geometry visit Cuemath. Their resources and detailed explanation of every concept will help you learn the concept very easily.