Courseware
Wednesday, 11 December 2013
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)
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)
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
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
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