# Cartesian Coordinate System.pdf

29. May 2023
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### Cartesian Coordinate System.pdf

• 1. THE CARTESIAN COORDINATE SYSTEM Mathematics 8
• 2. A Cartesian plane is a graph with one x-axis and one y-axis (that’s why it’s sometimes called an X Y graph). These two axes are perpendicular to each other. The origin (O) is in the exact center of the graph. Numbers to the right of the zero on the x- axis are positive; numbers to the left of zero are negative. For the y-axis, numbers below zero are negative and numbers above are positive. What is Cartesian Coordinate System/Cartesian Plane?
• 3. ● First Quadrant = Top right. ● Second Quadrant = Top left. ● Third Quadrant = Bottom left. ● Fourth Quadrant = Bottom right. Fun fact: The invention of this system was revolutionary for its time. It gave us the first systematic link between algebra and geometry. Cartesian Plane Quadrants
• 4. ● Ordinate and abscissa refer to ordered pairs on a Cartesian plane. ● The abscissa is the x- value (the first number in an ordered pair). ● The ordinate is the y- value (the second number in an ordered pair). Ordinate and Abscissa on a Cartesian Plane
• 5. What is an Origin? It is often denoted by O, and the coordinates are always zero. In one dimension we simply write the origin as 0; it’s the point where we start numbering on a number line. You can go in either of two directions: ● Going left, you would count off negative numbers ● Going right, you would count off with positive numbers. Either way you can go an infinite distance (to infinity or negative infinity). A number line showing the distance between -1 and 1. 0 is in the center.
• 6. In two dimensions, using the Cartesian plane, an origin is the point where the x and y axes intersect. This point is written as (0, 0). Origin on a Cartesian Plane
• 7. Practice Problem Locate below points on the Cartesian Coordinate System. Also, mention the quadrant points belong to. (i) (2, 3) (ii) (-3, 1) (iii) (-1.5, -2.5) (iv) (0,0)
• 9. Performance Task You are both architects and engineers, and you work for the Engineering Department of your local municipality. Your department head has charged you with the responsibility of delivering to the barangay captains in your town a three-dimensional miniature model of a business that is doing very well commercially. Be guided to the location of the establishments: 1. School (1,3); Quadrant 1 2. Milktea Shop (5,-4); Quadrant 4 3. Shopping Mall (-4,-2); Quadrant 3 4. Amusement Part (-3,4); Quadrant 2 5. Clinic (0, -10); y-axis