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Question
In figure,AX bisects ∠BAC as well as ∠BDC. State the three facts needed to ensure that ΔACD ≅ ΔABD
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Solution
As per the given conditions,
∠CAD=∠BAD and ∠CDA=∠BDA (because AX bisects ∠BAC)
AD = DA (common)
Therefore, by ASA, ΔACD ≅ ΔABD
As per the given conditions,
∠CAD=∠BAD and ∠CDA=∠BDA (because AX bisects ∠BAC)
AD = DA (common)
Therefore, by ASA, ΔACD ≅ ΔABD
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