Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are (4, –5), what are the coordinates of B'?

Respuesta :

*Hint: In order to find the coordinates, you plug in the coordinates into the rule and solve.

(x, y) → (x + 2, y - 8)
(4, -5) → (4 + 2, -5 - 8)
(6, -13)

The coordinates of B' is (6, -13).

Answer:  The co-ordinates of point B' are (6, -13).

Step-by-step explanation:  Given that triangle ABC is translated according to the following rule:

[tex](x,y)~~~\rightarrow~~~(x+2,y-5).[/tex]

We are to find the co-ordinates of B' if the co-ordinates of the pre-image of point B are (4, -5).

Since the co-ordinates of point B are (4, -5), so the co-ordinates of point B' will be

[tex](4,-5)~~~\rightarrow~~~(4+2,-5-8)=(6,-13).[/tex]

Thus, the co-ordinates of point B' are (6, -13).

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