Write a tule for the translation of-

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The option 'd' is true.

Step-by-step explanation:

Given the original vertices of a triangle

A(0, 4)

C(10, 6)

B(6, 10)

The translated image triangle A'B'C' has the vertices

A'(-2, 0)

C'(8, 2)

B'(4, 6)

Thus, it means the translated image triangle A'B'C' has the vertices after subtracting 2 units from the x-coordinates (or moving 2 units left) and subtracting 4 units from y-coordinates (or moving 4 units down).

Thus, the rule is:

(x, y) → (x-2, y-4)

Therefore, the option 'd' is true.