Answer

  1. AAS
    Solution:
    In $\triangle\text{ABD}$ and $\triangle\text{ADC},$ we have
    $\angle\text{ABD} = \angle\text{ACD} $ (given)
    $\angle\text{BDA} = \angle\text{CDA} $ (90o)
    AD = AD (common in both)
    Hence, $\triangle\text{ABD}\cong\triangle\text{ADC}$ by AAS criterion.

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