Question

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

Explanation:

Step1: Recall the property of congruent figures

Congruent quadrilaterals have corresponding sides equal. Since \(GHJK\cong ASDF\) and \(GHJK\cong VBNM\), then \(ASDF\cong VBNM\) (transitive property of congruence).

Step2: Identify corresponding sides

In congruent quadrilaterals \(VBNM\) and \(ASDF\), \(\overline{MV}\) and \(\overline{AF}\) are corresponding sides.

Answer:

\(\overline{AF}\)