This is my probably my last one then im gonna sleep.
Given: MO bisects angle PMN and OM bisects angle PON.
Prove: triangle PMO is congruent to triangle NMO
Statements Reasons
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1. MO bisects ∠PMN 1. Given
2. ∠PMO ≡ ∠NMO 2. Definition of angle bisector
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3. MO ≡ MO 3. Reflexive property
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4. OM bisects ∠PON 4. Given
5. ∠POM ≡ ∠NOM 5. Definition of angle bisector
6. ΔPMO ≡ ΔNMO 6. ASA Postulate