Question

three quadrilaterals exist such that g h j k ≅ a s d f and g h j k ≅ v b n m. if \overline{m v} measures 3 cm, which other segment must measure 3 cm? \overline{a f} \overline{k j} \overline{f d} \overline{g j}

Explanation:

Step1: Use the property of congruent quadrilaterals

Congruent quadrilaterals have corresponding sides equal. Since \(GHJK\cong VBNM\), the order of the letters gives the correspondence of vertices.
For \(GHJK\cong VBNM\), \(MV\) corresponds to \(KJ\) (by the order of congruence: \(V\) in \(VBNM\) corresponds to \(K\) in \(GHJK\) and \(M\) in \(VBNM\) corresponds to \(J\) in \(GHJK\)).

Answer:

\(\overline{KJ}\)