Coordinate Geometry - PowerPoint PPT Presentation

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Coordinate Geometry

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Coordinate Geometry Prepared by: Low Hui Ming (15) Location of Singapore Objectives describe Cartesian coordinates in two dimensions (x, y) finding the distance and ... – PowerPoint PPT presentation

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Title: 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
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