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COORDINATES
TO PLOT POINTS, GIVEN THE COORDINATES AND
THE SCALES

   Plot the points E (3,4), F (6, - 4) and H (-3,12) given
    the scales for the x-axis and y-axis are 1:3 and 1:4.




                       4
TO POSE AND SOLVE PROBLEMS INVOLVING
COORDINATES

   Name the shape formed by the points D (0,3),
    E(2,0), F(0,-3) and G(-2,0). Plot the points.
DISTANCE BETWEEN TWO POINTS IN A
CARTESIAN PLANE
a)  Points with common y-coordinates
        - Find the distance between the points
         A(4,2) and B(9,2)
         AB = 9-4
             = 5units
- Plot the points A and B in a Cartesian plane and
note that AB is parallel to the x-axis
b) Points with common x-coordinates
        - Find the distance between points M(-7,3)
          and N(-7, 7)
          MN = 7-3
                = 5 units
- Plot the points M and N in a Cartesian plane and note that
MN is parallel to the y-axis
EXAMPLE
a)  Q(2,3) and R(4,3)
       = 4-2
       = 2 units
b)  S(-4,-7) and T(-4,2)
       = 2-(-7)
       = 9 units
c) D (-4,9) and E(-12,9)
       = -4-(-12)
       = 8 units
EXERCISE
     P            Q       Distance of PQ
                                8-4
a)   (4,5)      (8,5)
                             = 4 units

b)   (-2,3)     (4,3)

c)   (5,-5)     (-6,-5)

d)   (3,-7)     (7,-7)

e)   (-5, -4)   (-5,-8)
 The   end

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Coordinates

  • 2. TO PLOT POINTS, GIVEN THE COORDINATES AND THE SCALES  Plot the points E (3,4), F (6, - 4) and H (-3,12) given the scales for the x-axis and y-axis are 1:3 and 1:4. 4
  • 3. TO POSE AND SOLVE PROBLEMS INVOLVING COORDINATES  Name the shape formed by the points D (0,3), E(2,0), F(0,-3) and G(-2,0). Plot the points.
  • 4. DISTANCE BETWEEN TWO POINTS IN A CARTESIAN PLANE a) Points with common y-coordinates - Find the distance between the points A(4,2) and B(9,2) AB = 9-4 = 5units - Plot the points A and B in a Cartesian plane and note that AB is parallel to the x-axis
  • 5. b) Points with common x-coordinates - Find the distance between points M(-7,3) and N(-7, 7) MN = 7-3 = 5 units - Plot the points M and N in a Cartesian plane and note that MN is parallel to the y-axis
  • 6. EXAMPLE a) Q(2,3) and R(4,3) = 4-2 = 2 units b) S(-4,-7) and T(-4,2) = 2-(-7) = 9 units c) D (-4,9) and E(-12,9) = -4-(-12) = 8 units
  • 7. EXERCISE P Q Distance of PQ 8-4 a) (4,5) (8,5) = 4 units b) (-2,3) (4,3) c) (5,-5) (-6,-5) d) (3,-7) (7,-7) e) (-5, -4) (-5,-8)
  • 8.  The end