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Points in a Plane
Cartesian plane
● A Cartesian coordinate system is a coordinate
system that specifies each point uniquely in a
plane by a pair of numerical coordinates, which
are the signed distances from the point to two
fixed perpendicular directed lines, measured in
the same unit of length.
● René Descartes
● An example of a Cartesian plane.
Number Plane
● The set of all ordered pairs of real numbers
● The horizontal line, called the X axis.
– Abscissa ( X – coordinate )
● The vertical line, called the Y axis ( ordinate)
– Ordinate ( Y – coordinate )
● The point of intersection of X and Y axis is
called the Origin.
● The plane coordinates are divide into four
parts,called Quadrants.
● X and Y axis are called the coordinate axis.
Exercises
Answers
● A = (2,2) quadrant 1
● B = (4,-8) quadrant 4
● C =(-3,3) quadrant 2
● D = (1,5) quadrant 3
● E = (-4, 10) quadrant 2
● F = ( -8, -7) quadrant 3
● G = (6, -3) quadrant 4
● H = (6,7) quadrant 1
● I = ( 10,1) quadrant 1
● J =( 9,-9) quadrant 4
● K = (-7,-2) quadrant 3
Wew

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Wew

  • 1. Points in a Plane
  • 2. Cartesian plane ● A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. ● René Descartes
  • 3. ● An example of a Cartesian plane.
  • 4. Number Plane ● The set of all ordered pairs of real numbers
  • 5. ● The horizontal line, called the X axis. – Abscissa ( X – coordinate ) ● The vertical line, called the Y axis ( ordinate) – Ordinate ( Y – coordinate ) ● The point of intersection of X and Y axis is called the Origin.
  • 6. ● The plane coordinates are divide into four parts,called Quadrants.
  • 7. ● X and Y axis are called the coordinate axis.
  • 9. Answers ● A = (2,2) quadrant 1 ● B = (4,-8) quadrant 4 ● C =(-3,3) quadrant 2 ● D = (1,5) quadrant 3 ● E = (-4, 10) quadrant 2 ● F = ( -8, -7) quadrant 3 ● G = (6, -3) quadrant 4 ● H = (6,7) quadrant 1 ● I = ( 10,1) quadrant 1 ● J =( 9,-9) quadrant 4 ● K = (-7,-2) quadrant 3