Question 3
Statement Reason
- BD⊥AC, D bisects AC Given
- AD ≅ DC Definition of a segment bisector
- BD ≅ BD Reflexive property
- ∠BDA is right angle Definition of perpendicular
- ∠BDC is right angle Definition of perpendicular
- ΔBDA ≅ ΔBDC HL congruence
- AB ≅ CB CPCTC
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Question 4
Statement Reason
- ∠2 ≅ ∠1, ∠4 ≅ ∠5 Given
- ∠1 ≅ ∠3 Definition of vertical angles
- ∠2 ≅ ∠3 Transitive property
- AC ≅ AC Reflexive property
- ΔABC ≅ ΔADC ASA congruence
- BC ≅ DC CPCTC