Triangle XYZ, formed by translating RST 4 units to the left, retains the same side lengths: XY = 6, YZ = 8, XZ = 10 units.
To determine the measures of the sides of triangle XYZ after the translation, we can use the properties of translations. When a triangle is translated horizontally or vertically, its side lengths remain unchanged. However, since the triangle RST is translated 4 units to the left to form XYZ, the corresponding side lengths will be the same.
Given that RS = 6, ST = 8, and RT = 10 in triangle RST, the translated triangle XYZ will have the same side lengths: XY = 6, YZ = 8, and XZ = 10. This is because a translation only shifts the position of the triangle in space without changing its shape or size.
Therefore, the measures of the sides of triangle XYZ are as follows:
XY = 6 units
YZ = 8 units
XZ = 10 units
In summary, after translating triangle RST 4 units to the left to form XYZ, the side lengths of the new triangle remain unchanged, and the measures are XY = 6, YZ = 8, and XZ = 10 units.