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′ ?

1 answer

Since triangle XYZ is translated down 4 units, the length of side XY remains the same. Therefore, side XY' is also 10 units long. Since triangle XYZ is translated to the left 8 units, side X'Y' is also 8 units longer than side XY'. Therefore, the length of side X'Y' is 10 + 8 = <<10+8=18>>18 units. Answer: \boxed{18}.