Rectangular Coordinate System (I) 8.35
transformation ᜊ౬ image ᅂ྅
29. A(1 , -4), B(6 , -4) and C are three points in a rectangular
coordinate plane, where C lies on the x-axis. Janet claims that the
area of 3ABC can be equal to 12 sq. units. Do you agree? Explain
your answer.
30. P(-2 , -3) and Q(-2 , 5) are two points in a rectangular coordinate
plane. Find two possible coordinates of R such that the area of
3PQR is 24 sq. units.
Level 3
Find the area of the polygon in each of the following figures. [Nos. 31-32]
31. 32.
C(-2,7)
B(-8,4)
F(-8,-6) E(-2,-8)
D(4,-5)
A(-10,-2)
Oy
x
P(-2,2)
R(-3,-3)
Q(-5,0)
S(2,1)
Oy
x
8.4 Transformations of Points
The following shows some daily-life examples of the change in positions
of objects.
A billiard ball moves from
P to Pl.
A metal ball swings from
B to Blabout O. B'
B
O
P P'
Such changes may also happen to positions of points in Mathematics.
It is known as transformation of points. The new point formed from
transformation is called the image of the original point.
In this section, we will investigate how transformations affect the
coordinates of a point in the rectangular coordinate plane.
Explain
Openended
2 3
1
4
Level 3 Guiding Worksheet - Ex 8C
Lesson Worksheet 8D Teaching and
Learning App:
Transformations
of Points
130 sq. units
17 sq. units
no
(-8 , 0), (4 , 1) (or other reasonable answers)
[Clue: Question 31
Add two vertical lines BF and CE
to split the figure.]
[Clue: Question 32
P(-2,2)
R(-3,-3)
Q(-5,0) S(2,1)
O
D
C
B
A
y
x
Use the filling method to find the
area.]