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Answer:
Step-by-step explanation:
1. C is mid-point of BD and AC is perpendicular to BD
Reason: Given
2. BC = DC
Reason: C is mid-point of BD
3. <ACB and <ACD are right angles
Reason: AC is perpendicular to BD
4. <ACB = <ACD
Reason: both are right angles
5. AC = AC
Reason: reflexive property
6. Δ ACB ≡ Δ ACD
Reason: SAS