If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'?

A.(–5, –2)
B.(1, –12)
C.(4, –15)
D.(–9, –6)

If a translation of x y x 6 y 10 is applied to figure ABCD what are the coordinates of D A5 2 B1 12 C4 15 D9 6 class=

Respuesta :

(1, –12) is the answer to this question !

Answer: The answer is (B).

Step-by-step explanation: We are given a figure with a quadrilateral ABCD, with vertices A(-3, 4), B(3, 4), C(1, -2) and D (-5, -2).

We are to find the coordinates of the D' after a translation of (x, y) → (x + 6, y – 10).

We have for D(-5, -2),

[tex]x\Rightarrow x+6=-5+6=1,\\\\y\Rightarrow y-10=-2-10=-12.[/tex]

Thus, (B) is the correct option.