Three quadrilaterals exist such that GHJK≅ASDF and GHJK≅VBNM. If line segment MV measures 3 cm, which other segment must measure 3 cm?

In the congruence GHJK ≅ VBNM, the matching vertices are G↔V and K↔M, so segment MV corresponds to segment GK. Since MV measures 3 cm, GK also measures 3 cm. In GHJK ≅ ASDF, G↔A and K↔F, so GK corresponds to AF. Therefore, segment AF measures 3 cm.

AI-written and checked against the verified answer.