Question

vy is the midsegment of the trapezoid tuwx.
if wx = 44 and tu = 94, what is vy?
u
v
w
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y
t
vy = \square

Explanation:

Step1: Recall the midsegment formula for a trapezoid

The midsegment (or median) of a trapezoid is the segment that connects the midpoints of the non - parallel sides. The length of the midsegment \(m\) of a trapezoid with bases \(b_1\) and \(b_2\) is given by the formula \(m=\frac{b_1 + b_2}{2}\). In trapezoid \(TUWX\), the bases are \(WX\) and \(TU\), and \(VY\) is the midsegment. So we can use the formula \(VY=\frac{WX + TU}{2}\).

Step2: Substitute the given values into the formula

We know that \(WX = 44\) and \(TU=94\). Substituting these values into the formula \(VY=\frac{WX + TU}{2}\), we get \(VY=\frac{44 + 94}{2}\).

First, calculate the sum in the numerator: \(44+94 = 138\). Then, divide the sum by 2: \(\frac{138}{2}=69\).

Answer:

\(69\)