1. Coordinate Geometry
Prepared by: Low Hui Ming (15)

2. Location of Singapore y 3 2
(2, 2) 1 x 1 2 3 4

3. Objectives describe Cartesian coordinates in two dimensions (x, y)
finding the distance and midpoint when given two Cartesian coordinates

4. History Developed by a sick mathematician, Rene' Descarte.
As he lay in bed sick, he saw a fly buzzing around on the ceiling. His ceiling was made of square tiles. As he watched, he realized that he could describe the position of the fly by the ceiling tile he was on.

5. Uses Cinema tickets Street directory Latitudes and longtitudes
Maps in shopping centres
Labels of HDB blocks

6. Distance = (x2  x1)2 + (y2  y1)2 Recall: Pythagoras’ Theorem
Hypothenus2 = Length2 + Breadth2 3
(2, 2) 2
difference in y
2 units 1
difference in x
3 units
(5, 0) x 1 2 3 4 5

7. Finding Midpoint Midpoint, M = x y (1, 3) 3 x coordinate =
y coordinate = 2
(2, 2)
(3, 1) 1
Midpoint, M = x 1 2 3 4

8. Conclusion able to identify Cartesian coordinates in two dimensions
calculate the distance and midpoint when given two Cartesian coordinates