Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?

Segments OM and LP intersect at point N; triangles are formed by points LNM and ONP; line k intersects with both triangles at point N.

Use a rigid transformation to prove ∠NOP ≅ ∠NML.
Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.