Question

PLZ HELP! Complete this proof. Given: a | | b Prove: ΔMOP ~ ΔRON

Answer 1

As shown in the given figure
line a // line b ⇒ given
MR  and  NP  are transversals 
So, for ΔMOP and ΔRON , we can conclude the following
(1)  ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent

So, from 1,2 and 3
∴  ΔMOP ~ ΔRON  by  AAA-Rule