500
Given: ∠1 ≅ ∠2; ∠5 ≅ ∠6
→
Prove: EC bisects ∠BED
What is Statements Reasons
1. ∠1 ≅ ∠2 1. Given
∠5≅∠2
2. AC ≅ AC 2. Reflexive
3. ∆ABC ≅ ∆ADC 3. ASA
4. BC ≅ BC 4. CPCTC
5. EC ≅ EC 5. Reflexive
6. ∆BEC ≅ ∆DEC 6. SAS
7. ∠3 ≅ ∠4 7. CPCTC
8. EC bisects ∠BED 8. Def of ∠ bisectors