If δmnl is rotated 180° about point n, which additional transformation could determine if δonp and δmnl are 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.
reflect onp over line k.
reflect m'n'l' over line k.
dilate onp from point n by a scale factor of segment np over segment nl.
dilate m'n'l' from point n by a scale factor of segment np over segment nl

  Dilate M'N'L' from point N by a scale factor of segment NP over segment NL

Step-by-step explanation:

Multiplying the length of N'L' by the factor NP/NL will give it the length of NP, making the dilated version of ΔM'N'L' congruent to ΔONP. This is apparently your goal.

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Reflection over line k doesn't seem to do anything useful, and the other offered dilation is by the wrong factor. You want to ...

dilate M'N'L' from point N by a scale factor of segment NP over segment NL.

why can't you?

step-by-step explanation: