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Byju's Answer
Standard IX
Mathematics
Construction of an Angular Bisector and its Proof
In figure, AX...
Question
In figure, AX bisects
∠
BAC as well as
∠
BDC. State the three facts needed to ensure that
△
ACD
≅
△
ABD
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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,
△
ACD
≅
△
ABD
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In Fig. 38, AX bisects
∠BAC as well as ∠BDC. State the three facts needed to ensure that ∆ ABD ≅ ∆ ACD.