Answer:
The option 'd' is true.
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.