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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

Tion 4 A ABC 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 OA C TXY class=

Sagot :

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:

[tex](x,y)\to (x+a,y+b)[/tex]        ...(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

[tex]A(2,3)\to A'(2+a,3+b)[/tex]

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

[tex]A'(2+a,3+b)=A'(4,-2)[/tex]

On comparing both sides, we get

[tex]2+a=4[/tex]

[tex]a=4-2[/tex]

[tex]a=2[/tex]

And,

[tex]3+b=-2[/tex]

[tex]b=-2-3[/tex]

[tex]b=-5[/tex]

Putting [tex]a=2[/tex] and [tex]b=-5[/tex] in (i), we get

[tex](x,y)\to (x+2,y+(-5))[/tex]

[tex](x,y)\to (x+2,y-5)[/tex]

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

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