Question

uv || tw. find st.
st =

Explanation:

Step1: Apply the basic proportionality theorem (Thales' theorem)

Since \( \overline{UV}\parallel\overline{TW}\), we have \(\frac{SW}{WV}=\frac{ST}{TU}\).
Given \(SW = 2\), \(WV=2\), and \(TU = 1\).
Substitute the values into the proportion: \(\frac{2}{2}=\frac{ST}{1}\).

Step2: Solve for \(ST\)

Simplify the left - hand side of the equation \(\frac{2}{2} = 1\). So, \(1=\frac{ST}{1}\).
Multiply both sides by \(1\): \(ST\times1=1\times1\).

Answer:

\(1\)