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three quadrilaterals exist such that ghjk ≅ asdf and ghjk ≅ vbnm. if mv…

Question

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

Explanation:

Step1: Recall property of congruent quadrilaterals

Corresponding sides of congruent quadrilaterals are equal.

Step2: Identify corresponding sides

Since \(GHKJ\cong ASDF\) and \(GHKJ\cong VBNM\), the quadrilaterals have corresponding sides. Segment \(\overline{MV}\) corresponds to \(\overline{AF}\) in the congruence relationships.

Answer:

A. \(\overline{AF}\)