If ΔMNL is rotated 180° about point N, which additional transformation could determine if ΔONP and ΔMNL are similar by the AA si
milarity 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.