In Fig. 38, AX bisects angle BAC as well as angle BDC. State the three facts needed to ensure that triangle abd is congruent to triangle acd
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AX bisects ∠BAC as well as ∠BDC.
So, ∠CAD=∠BAD
also ∠CDA=∠BDA
and AD=AD⋯[common side]
So, by ASA test,
ΔABD≅ΔACD.
Above written 3 conditions ensure that ΔABD≅ΔACD.
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