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

In the congruence GHJK ≅ VBNM, the vertices correspond in order: G↔V, H↔B, J↔N, and K↔M. So segment MV corresponds to segment KG, and both measure 3 cm. In GHJK ≅ ASDF, G↔A and K↔F, so KG corresponds to AF. Therefore, segment AF must measure 3 cm.

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