Question

three quadrilaterals exist such that ghjjk ≅ asdf and ghjjk ≅ vbnm. if mv measures 3 cm, which other segment must measure 3 cm? af kj fd gj

Explanation:

Step1: Use the property of congruent quadrilaterals

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 \(ASDF\), we need to check the correspondence. In quadrilaterals, when \(GHJK\cong ASDF\) and \(GHJK\cong VBNM\), the side \(\overline{MV}\) in \(VBNM\) corresponds to \(\overline{FD}\) in \(ASDF\) (by the order of congruence notation and side - to - side correspondence in congruent polygons).

Answer:

C. \(\overline{FD}\)