Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).


(02.01 MC)
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).



Which coordinates will best represent point A'? (4 points)


(−2, 5)

(4, −3)

(−2, −3)

(4, 5)

Figure ABC is to be translated to Figure ABC using the rule x y x3 y4 0201 MC Figure ABC is to be translated to Figure ABC using the rule x y x3 y4 Which coordi class=

Respuesta :

   ( x, y )  → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)

Answer:

A. (-2,5)  

Step-by-step explanation:

We have been given an image of a triangle ABC on coordinate plane. Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).  

The given translation rule states that we need to shift x-coordinates of ABC by 3 units to the left and y coordinates by 4 units upwards to get the coordinates of A'B'C'.  

We can see that the coordinates of point A are (1,1), so after applying the given translation rule coordinates of A' will be:

[tex]A(1,1)\rightarrow (1-3,1+4)=A'(-2,5)[/tex]

Therefore, the coordinates of A' will be (-2,5) and option A is the correct choice.