Wednesday 11 December 2013

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Friday 6 December 2013

Exercise midpoint

        1.      Refer to the Cartesian Plane as shown and find the coordinates of thr midpoint of the line
a)      PQ
b)      QR




        2.      Find the coordinates of the midpoint of the straight line joining point P (-2, 2) and point Q (4 ,6).


        3.      Refer to the Cartesian plane as shown and find the coordinates of the midpoint of the straight line                  joining
a)      P and F                                                                              
b)      H and J
c)      D and  I
d)      E and F
e)      G and H
f)       I and J



        4.      Find the coordinates of the midpoint of the line which joins the following pairs of points.
a)      P (2, 5) and Q (8, 5)
b)      M (5, -2) and M (-1, -2)
c)      J (3, -4) and K (3, 2)
d)      A (-4 ,1) and B (-4,-3)

        5.      Refer to the Cartesian plane as shown and find the coordinates of the midpoint of the straight line                   joining
a)      R and Q
b)      T and S
c)      T and U
d)      S and Q


        6.      Find the coordinates of the midpoint of the line which joins the following pairs of  points
a)      P (6, 1) and Q ( 2,7)
b)      M (3, 4) and N (-1, 6)
c)      J (2, 5) and K (6, 1)
d)      A (-3, 2) and B (-1, -8)
        7.      Given that ( 2, p) is the midpoint of the straight  line joining the points ( 1, 8) and (3, -2), find the value            of p

        8.      Given that (4 ,3) is the midpoint of the straight line joining the points (k, -1) and (2, 7), find value of k

        9.      PQRS is the rhombus. Given that the coordinates of P, Q and R are (-3, 2), (1, 4) and (5, 2)                         respectively.
a)      Find the coordinates of S
b)      Find the coordinates of midpoint of all the sides of the rhombus.
c)      What the shape of the straight lines which  join all the midpoint? 



Mistakes

When student answer the question mathematic especially subtopic coordination,they always do mistakes when  answer the question.some of the mistakes that students do is :

Example 1:

The diagram above show points E, F and H on a Cartesian plane.  If the midpoint of FH  and EG is the same point, find the coordinates of G.

mistake 1


Join point E to the midpoint of FH.  Extrapolate the straight line until it is of equal length to      the line joining point E and the midpoint.  Point G is the point where the line ends.

Therefore, the coordinates of point G is (4, 3)

Concept Map

Exercise Scale


1.      Plot the points P(6,8), R(-3,-4) and Q(12,-4) in a Cartesian plane wherethe scale of the x-axis is    1 : 3 and the scale of the y-axis is 1 : 2.
2.      Plot the points P(6,9), R(-4,-3) and Q(12,-6) in a Cartesian plane wherethe scale of the x-axis is    1 : 2 and the scale of the y-axis is 1 : 3.
3.      Plot the points P(4,15), R(0,-10) and Q(12,-10) in a Cartesian planewhere the scale of the x-axis is 1 : 4 and the scale of the y-axis is 1 : 5.
4.      Plot the points P(-5,25), R(-15,10) and Q(25,40) in a Cartesian planewhere the scale of the x-axis is 1 : 5 and the scale of the y-axis is 1 : 10.

5.     Plot the points P(6,8), R(-4,-4) and Q(12,-4) in a Cartesian plane wherethe scale of the x-axis is    1 : 2 and the scale of the y-axis is 1 : 4.

Thursday 5 December 2013

Video Tutorial




Plotting Point





Distance between two points





Midpoint




Exercise Distance



1. Refer to Certesian plane as shown find the distance between:
(a) U and V

(b) U and W




2. Given that the coordinationes of P,Q,R and S are (1,1),(4,5),(-1,-1) and (-3,2) respectively, find the distance between
(a) P and Q

(b) R and Q

Solution