Final answer:
The midsegment VY of the trapezoid is 3 units long, which is calculated by taking the average of the lengths of the two bases TU (2 units) and WX (4 units).
Step-by-step explanation:
The question asks to find the length of the midsegment VY in a trapezoid where TU and WX are the lengths of the bases.
By definition, a midsegment of a trapezoid is a segment that connects the midpoints of the non-parallel sides and is parallel to the bases of the trapezoid. The length of this segment is the average of the lengths of the two bases. Since TU = 2 units and WX = 4 units, the length of the midsegment VY can be found with the formula:
VY = (TU + WX)/2
Plugging in the values:
VY = (2 + 4)/2 = 6/2 = 3 units
Therefore, the length of the midsegment VY of the trapezoid is 3 units.