Question

In the given figure, prove that ΔΜΝΟ - ΔΟΡΟ.​

Answer 1

MNO ~ OPQ by AAA (Angle angle angle)

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)