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Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3). Which rule was used to translate the image? T4, –4(x, y) T–4, –4(x, y) T2, –4(x, y) T–2, –4(x, y)

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2021ashleyjimenez
the answer is c , i got it right 

the rule that was  used to translate the image Triangle EFG to E'F'G' is

[tex]T_{2,-4}(x,y)[/tex]

Given :

  • Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1).
  • The coordinates of the image after translated are E’(–1, 0), F’(–3, –5), and G’(3, –3)

To find out the rule , we need to check the coordinates E  and E'

E is (-3,4)  and E' is (-1,0)

[tex]-3+x=-1\\x=-1+3=2\\x=2\\\\4+y=0\\y=-4[/tex]

So , we can say that 2 is added with x  and 4 is subtracted from y  to get E'

Lets check with F and F'

F(–5, –1)  and F’(–3, –5)

-5+2=-3

-1-4=-5

So the rule used to translate the image is

[tex]T_{2,-4}(x,y)[/tex]

Learn more : brainly.com/question/17598108

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