I need help with figuring out which converse makes QT parallel to MN

Since corresponding angles of similar triangles are congruent and triangles QRT and MRN are congruent, then:
[tex]\angle RMN\cong\angle RQT.[/tex]Now, notice that angles RMN and RQT are corresponding angles, then, using the corresponding angle theorem we get:
[tex]QT\mleft\Vert MN\text{.}\mright?[/tex]Answer: Second option.