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Triangle A’B’C’ with coordinates of A(-6,2),B’(-4,2), and C’(-6,-2) is the image of triangle ABC after a translation of (x-3,y+2). What could be possible coordinates for the original vertices of triangle ABC? Select all that apply. A.(-3,0) B.(-1,0) C.(-9,4) D.(-7,4) E.(-3,-4) F.(-3,1)

Respuesta :

I would pick A) B) & E)

Answer: The answers are (A), (B) and (E).

Step-by-step explanation:  Given that ΔA’B’C’ with coordinates of A(-6,2),B’(-4,2), and C’(-6,-2) is the image of ΔABC after a translation of (x-3,y+2). We are to find the possible co-ordinates for the original vertices of ΔABC.

For vertex A, we have

[tex]x-3=-6,~y+2=2\\\\\Rightarrow x=-3,~y=0.[/tex]

So, the co-ordinates of vertex A are (-3, 0).

For vertex B, we have

[tex]x-3=-4,~y+2=2\\\\\Rightarrow x=-1,~y=0.[/tex]

So, the co-ordinates of vertex B are (-1, 0).

For vertex C, we have

[tex]x-3=-6,~y+2=-2\\\\\Rightarrow x=-3,~y=-4.[/tex]

So, the co-ordinates of vertex C are (-3, -4).

Thus, (A), (B) and (E) are the correct options.

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