Answer:
MNO ~ OPQ by AAA (Angle angle angle)
Step-by-step explanation:
1. angle POQ is equal to angle NOM because they are both vertical angles
2. angle OPQ and angle OMN are equal because parallel lines cut by a transversal form congruent alternate interior angles.
3. angle PQO and angle ONM are equal becase of the same reason as reason 2 (parallel lines cut by a transversal form congruent alternate interior angles. )
4. triangles MNO ~ OPQ through AAA (angle angle angle)
