Triangle XYZ is translated down 4 units and to the left 8 units. The length of side XY is 10 units. What is the length of side X'Y'?
Since triangle XYZ is translated down 4 units and to the left 8 units, each corresponding point on the new triangle X'Y'Z' will be 4 units below and 8 units to the left of the corresponding point on triangle XYZ.
Therefore, since side XY is 10 units, the length of side X'Y' will also be 10 units.
To find the length of side X'Y' after the translation, we need to consider the distance and direction of the translation.
Given that Triangle XYZ is translated down 4 units and to the left 8 units, we can determine that the corresponding points of X'Y' will be 4 units below and 8 units to the left of the original points.
Since the length of side XY is 10 units, the corresponding length of side X'Y' will remain the same, as translation does not affect the size of the triangle.
Therefore, the length of side X'Y' is also 10 units.