Question

The graph shows a translation from preimage triangle ABC to image triangle JKL. Which of the following represents the translation?

Answer 1

X+7 Y+4 . I am 100 percent sure.

Answer 2

Answer:

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.