Question

the two polygons below are similar.
complete the similarity statement.
hijk ~ \boxed{}

Explanation:

Step1: Identify corresponding angles

In similar polygons, corresponding angles are equal. In polygon \(MLJK\), \(\angle K\) corresponds to \(\angle S\) (both are the non - \(70^{\circ}\) and non - \(110^{\circ}\) angles). \(\angle L\) corresponds to \(\angle T\) (both are \(110^{\circ}\)), \(\angle J\) corresponds to \(\angle R\) (both are \(70^{\circ}\)), and \(\angle M\) corresponds to \(\angle U\) (both are \(70^{\circ}\)).

Step2: Match the vertices in order

When writing a similarity statement, the order of the vertices must correspond. Since \(M\) corresponds to \(U\), \(L\) corresponds to \(T\), \(J\) corresponds to \(R\), and \(K\) corresponds to \(S\).

Answer:

\(MLJK\sim UTRS\)