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

The correct option is D.

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.