Given: ∠ONL≅∠MLN,∠O and ∠M are right angles Prove: LM¯¯¯¯¯¯¯≅NO¯¯¯¯¯¯

A. Given: ∠ONL≅∠MLN and ∠O and ∠M are right angles.
∠O≅∠M ; all right angles are congruent.
ΔONL≅ΔMLN by AAS.
LM¯¯¯¯¯¯¯≅NO¯¯¯¯¯¯ ; corresponding parts of congruent triangles.
B. Given: ∠ONL≅∠MLN and ∠O and ∠M are right angles.
∠O≅∠M ; all right angles are congruent.
ΔONL≅ΔMLN by ASA.
LM¯¯¯¯¯¯¯≅NO¯¯¯¯¯¯ ; parallel lines of congruent triangles.
C. Given: ∠ONL≅∠MLN and ∠O and ∠M are right angles.
∠O≅∠M ; all right angles are congruent.
ΔONL≅ΔMLN by SAS.
LM¯¯¯¯¯¯¯≅NO¯¯¯¯¯¯ ; corresponding parts of congruent triangles.