Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Reflect M′N′L′ over line k.

By reflecting M′N′L′ over line k, we are essentially flipping the triangle over the line k. This transformation preserves angles and orientation, and if the resulting triangle is congruent to ONP, then ONP and MNL are similar by the AA similarity postulate.