Question

complete the congruence statement.
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Explanation:

Step1: Match the vertices

In congruent polygons, corresponding vertices are in the same order.
For quadrilateral \(JKLI\), we look at the angles and side lengths to match with the other quadrilateral.
The side \(JK = 30\) ft, \(KL = 30\) ft (by the order of the polygon and given side - length in \(JKLI\)), and the angles: \(\angle J=58^{\circ}\), \(\angle K = 122^{\circ}\), \(\angle L=58^{\circ}\), \(\angle I = 122^{\circ}\)
In the other quadrilateral \(VTWU\), \(\angle V = 58^{\circ}\), \(\angle T=58^{\circ}\), \(\angle W=122^{\circ}\), \(\angle U = 122^{\circ}\), and side \(VT = 30\) ft, \(TW = 30\) ft.
We match \(J\) with \(V\), \(K\) with \(T\), \(L\) with \(W\), \(I\) with \(U\)

Answer:

\(JKLI\cong VTWU\)