Which rule describes the translation?
answer
(x, y) → (x – 8, y – 3)
(x, y) → (x – 3, y + 8)
(x, y) → (x + 8, y – 3)
(x, y) → (x + 3, y + 8)

(x, y) → (x + 8, y – 3)

Justification:

1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.

2) Translating 8 units to the right means: x → x + 8

3) Translating 3 units down means y → y - 3

4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)

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