When a triangle is translated, its shape and the lengths of its sides remain unchanged. This means that the translation does not affect the lengths of the sides of the triangle, but only their positions.
In this case, triangle XYZ is being translated down 4 units and to the left 8 units. Since side XY has a length of 10 units, the length of side X′Y′, which corresponds to side XY after the translation, will also be 10 units.
Therefore, the length of side X′Y′ is 10 units.
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