It enabled mathematicians to apply algebra to solve geometric problems.
scale: 1 cm represents 5 meters
Line reflection in the coordinate plane involves flipping points across a specified line, which can help solve problems related to symmetry, geometry, and transformations. To apply this method, identify the line of reflection (e.g., x-axis, y-axis, or any other line), calculate the coordinates of the reflected points using geometric principles or formulas, and analyze the new positions to draw conclusions or solve for unknowns. This technique is useful in various contexts, such as finding the image of a shape after reflection or solving equations involving geometrical transformations.
Descartes discovered that he could identify the exact location of every point in a plane using the coordinate system In fact, the coordinate system could be extended to the normal 3-dimensional space as well as more exotic, multi-dimensional spaces. Furthermore, he could use algebraic expressions to describe shapes such as lines, circles and other conic sections, as well as more complicated shapes. This meant that the analytical tools and power of algebra could then be used to solve problems in geometry. Conversely, the properties of geometrical shapes could be used to solve algebraic problems.
coordinate geometry or algebra is used to solve equations
The coordinate plane allows the location of any point on a plane to be defined algebraically. This then enables the mathematical tools developed for algebra to be used to solve problems in geometry (and conversely).
It enabled mathematicians to apply algebra to solve geometric problems.
It enabled geometric information to be converted into algebraic form. This meant that the tools of algebra could be applied to solve geometric problems and the tools of geometry to algebraic problems. That greatly increased the ability of mathematicians to solve problems.
scale: 1 cm represents 5 meters
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
It enabled geometric information to be converted into algebraic form. This meant that the tools of algebra could be applied to solve geometric problems and the tools of geometry to algebraic problems. That greatly increased the ability of mathematicians to solve problems.
Descartes discovered that he could identify the exact location of every point in a plane using the coordinate system In fact, the coordinate system could be extended to the normal 3-dimensional space as well as more exotic, multi-dimensional spaces. Furthermore, he could use algebraic expressions to describe shapes such as lines, circles and other conic sections, as well as more complicated shapes. This meant that the analytical tools and power of algebra could then be used to solve problems in geometry. Conversely, the properties of geometrical shapes could be used to solve algebraic problems.
It enables you to use algebraic techniques to solve a wide variety of problems - in geometry, business studies, etc.
coordinate geometry or algebra is used to solve equations
each of the four regions created on the coordinate plane by the x- and y-axes.
You find the perimeter of a triangle by adding all the sides. There is no special rule for finding the perimeter.
add them up