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pickupchik [31]
3 years ago
13

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

n?

Mathematics
2 answers:
yarga [219]3 years ago
4 0
X+7 Y+4 . I am 100 percent sure.

gavmur [86]3 years ago
4 0

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.

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