Introduction To Coordinate Geometry (Kartesius)
Introduction to Coordinate Geometry (Kartesius)
In mathematics, coordinate geometry (Kartesius) is a branch of geometry that deals with the representation of points in a two-dimensional space. It is widely used in mathematics and engineering and is often referred to as an analytical geometry. Coordinate geometry is used to solve problems involving linear equations, polynomial equations and other equations that can be represented graphically.
What is a Coordinate Geometry?
Coordinate geometry is a branch of mathematics that deals with the representation of points in a two-dimensional space. It uses two or more variables to represent the position of a point in a two-dimensional space. These variables are usually referred to as the x-axis and the y-axis. The coordinates of a point can be written as (x, y), where x is the x-coordinate and y is the y-coordinate. The coordinates of the origin are (0, 0).
Examples of Coordinate Geometry Problems
One of the most common examples of coordinate geometry problems is the distance formula. This formula is used to calculate the distance between two points in a two-dimensional space. The formula is given as follows:
Distance = (x2 - x1)2 + (y2 - y1)2
Where (x1, y1) and (x2, y2) are the coordinates of two points in the two-dimensional space.
Contoh Soal Koordinat Kartesius
1. Hitunglah jarak antara titik (2, 3) dan titik (5, 7).
Jawab: Jarak antara titik (2, 3) dan titik (5, 7) adalah 5.
2. Tentukan koordinat titik P yang memiliki koordinat (-3, -1) jika titik P bergeser 5 unit ke arah kanan dan 3 unit ke atas.
Jawab: Koordinat titik P setelah bergeser 5 unit ke arah kanan dan 3 unit ke atas adalah (2, 2).
Conclusion
Coordinate geometry (Kartesius) is a branch of mathematics that deals with the representation of points in a two-dimensional space. It uses two or more variables to represent the position of a point in a two-dimensional space. It is widely used in mathematics and engineering and is often referred to as an analytical geometry. Coordinate geometry can be used to solve problems involving linear equations, polynomial equations and other equations that can be represented graphically. The distance formula is one of the most common examples of coordinate geometry problems.
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