History <br />The method of describing the location of points in this way was proposed by the French mathematician René Descartes (1596 - 1650). (Pronounced "day CART"). He proposed further that curves and lines could be described by equations using this technique, thus being the first to link algebra and geometry. In honor of his work, the coordinates of a point are often referred to as its Cartesian coordinates, and the coordinate plane as the Cartesian Coordinate Plane. <br />A system of geometry where the position of points on the plane is described using an ordered pair of numbers. <br />To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3. <br /> <br />D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect. <br />In coordinate geometry, points are placed on the "coordinate plane" as shown below. It has two scales - one running across the plane called the "x axis" and another a right angles to it called the y axis. (These can be thought of as similar to the column and row in the paragraph above.) The point where the axes cross is called the origin and is where both x and y are zero. <br />Things you can do in Coordinate Geometry <br />If you know the coordinates of a group of points you can: <br /> <br />Determine the distance between them <br />Find the midpoint, slope and equation of a line segment <br />Determine if lines are parallel or perpendicular <br />Find the area and perimeter of a polygon defined by the points <br />Transform a shape by moving, rotating and reflecting it. <br />Define the equations of curves, circles and ellipses. <br />coordinate geometry <br />coordinate geometry formulas <br />coordinate geometry book <br />coordinate geometry class 10 <br />coordinate geometry questions <br />coordinate geometry notes <br />coordinate geometry of the line <br />coordinate geometry basics <br />coordinate geometry answers <br />coordinate geometry activity <br />coordinate geometry definition <br />coordinate geometry distance formula <br />coordinate geometry distance <br />coordinate geometry distance and midpoint worksheet <br />coordinate geometry distance and midpoint answers <br />coordinate geometry distance between two points <br />coordinate geometry distance between point and line <br />coordinate geometry distance formula questions <br />coordinate geometry examples <br />coordinate geometry example questions <br />coordinate geometry exam questions <br />coordinate geometry hard questions <br />coordinate geometry how to find the midpoint <br />coordinate geometry isosceles triangle <br />coordinate geometry introduction <br />coordinate geometry lesson <br />coordinate geometry linear equations in two variables <br />coordinate geometry lines <br />coordinate geometry class 9 <br />coordinate geometry steps <br />coordinate geometry summary <br />coordinate geometry straight line <br />coordinate geometry test <br />coordinate geometry triangle <br />coordinate geometry triangles worksheet <br />introduction to coordinate geometry <br />coordinate geometry class x <br />calculate geometry x coordinate <br />x axis in coordinate geometry <br />x-coordinate definition geometry <br />class x coordinate geometry <br />coordinate geometry year 10 <br />coordinate geometry year 9 <br />coordinate geometry youtube <br />coordinate geometry year 8 <br />coordinate geometry year 9 worksheet <br />coordinate geometry year 10 worksheets <br />y-coordinate definition geometry
