Mathematics: The graph shows a translation from preimage triangle abc to image triangle jkl. which of the following represents the translation?

The graph shows a translation from preimage triangle

Ответ:

shakira11harvey6

04.01.2022

The correct option is D.

Step-by-step explanation:

From the given graph it is clear that the vertices of triangle ABC are A(-10,-9), B(15,-10), C(-16,5) and the vertices of triangle JKL are J(-3,-5), K(-22,-6), L(-9,9).

It is given that the graph shows a translation from preimage triangle ABC to image triangle JKL.

$(x,y)\rightarrow (x+a,y+b)$ .... (1)

We know that image of A(-10,-9) is J(-3,5).

$A(-10,-9)\rightarrow J(-3,-5)$ .... (2)

From (1) and (2), we get

x=-10,y=-9,x+a=-3,y+b=-5

x+a=-3

(-10)+a=-3

a=-3+10=7

y+b=5

-9+b=-5

b=-5+9=4

The value of a is 7 and the value of b is 4. So the required rule for translation is

$(x,y)\rightarrow (x+7,y+4)$

Therefore option D is correct.

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The graph shows a translation from preimage triangle abc to image triangle jkl. which of the following represents the translation?

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