When a triangle (or any geometric figure) is translated, the lengths of its sides do not change. The translation only alters the position of the triangle in the coordinate plane, not the dimensions of the triangle itself.
In this case, triangle XYZ is translated down 4 units and to the left 8 units, but the length of side XY remains the same at 10 units. Thus, the length of side X'Y' (after translation) is also 10 units.
Therefore, the length of side X'Y' is 10 units.
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