Question

Tion. 4.

A A'B'C' is the image of A ABC after a translation.
Write a rule in ARROW NOTATION for the
translation
y B
A
A
C с
B
O-A
C
TXY

Answer 1

Given:

The triangle A'B'C' is the image of triangle ABC after a translation as shown in the given graph.

To find:

The rule of translation in ARROW NOTATION.

Solution:

The general rule for translation is:

`(x,y)\to (x+a,y+b)` ...(i)

Where, a and b are constants.

From the given graph it is clear that the coordinate of point A are (2,3) and coordinates of point A' are (4,-2).

Using (i), the image of A(2,3) is

`A(2,3)\to A'(2+a,3+b)`

We have, A'(4,-2).

`A'(2+a,3+b)=A'(4,-2)`

On comparing both sides, we get

`2+a=4`

`a=4-2`

`a=2`

And,

`3+b=-2`

`b=-2-3`

`b=-5`

Putting
`a=2` and
`b=-5` in (i), we get

`(x,y)\to (x+2,y+(-5))`

`(x,y)\to (x+2,y-5)`

Therefore, the rule in ARROW NOTATION for the given translation is
`(x,y)\to (x+2,y-5)`.