Coordinate Geometry

1
Coordinate Geometry
Prepared by Low Hui Ming (15)
2
Location of Singapore
y
3
2
(2, 2)
1
0
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
y
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
0
7
Finding Midpoint
y
(1, 3)
3
2
(2, 2)
(3, 1)
1
0
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