Given: ∠ONL≅∠MLN,∠O , and ∠M are right angles Prove LM≅NO.
The image consists of a quadrilateral LMNO with diagonal LN such that we get two triangles LMN and NOL. The measure of angle O and angle M is 90 degrees.
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.