8.36 Chapter 8
translation ̻
A Translation
In flag raising, the flag is raised as shown below. The tip P of the flag also
moves upwards to Pl.
P'
P
In Mathematics, if a point is moved along a specified direction to a new
position, this kind of transformation is called translation of a point.
I. Translation to the Left or Right
Take out the transparency film provided in the Activity Kit.
1. Follow the steps below and answer the question.
P(1,3)
-2 -1 1
1
0 2 3
2
3
4 y
x -2 -1 1
1
0 2 3
2
3
4 y
x
-2 -1 1
1
0 2 3
2
3
4 y
x
y
x
O
P P y
x
O
P
1 unit
3 units
1 unit
3 units
Move the film
to the right
by 2 units
Place the film
over Fig. A
Fig. A
Denote the image of P by Pl.
(a) Coordinates of Pl = ( , )
(b) x-coordinate of Pl = x-coordinate of P +
y-coordinate of Pl ( = / ! ) y-coordinate of P
2. (a) Place the film over the figure so that their axes coincide
respectively.
Move the film to the left by 3 units. Denote the image
of P by Pm.
Coordinates of Pm = ( , )
(b) x-coordinate of Pm = x-coordinate of P -
y-coordinate of Pm ( = / ! ) y-coordinate of P
ActivityActivity
Class 8.3 Class e-Activity
PPl is a horizontal line.
◀ PPm is a horizontal line.
◀Teachers may also use GeoGebra
to conduct the activity.
3
-2
2
3
3
3