Given: ∠ ONL ≅ ∠ MNL, ∠ O and ∠ M are right angles.
Prove: Line LM ≅ Line NO
Statements:
1) ∠ ONL ≅ ∠MLN, ∠O and ∠M are right angles.
2) ∠ O ≅ ∠ M
3) Line LN ≅ Line LN
4) Triangle ONL ≅ Triangle MLN
5) Line LM ≅ Line NO
Reasons
1)Given
2)All right angles are congruent.
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3) Reflexive Property of Congruence
4) Angle-Angle-Angle (AAA) Postulate
5) Corresponding sides of congruent triangles are congruent.