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Question

In the quadrilateral ACBD, AB is a diagonal. If AC = AD and AB bisects A, by which congruence property is ΔACBΔADB?

A
S.A.S.
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B
A.S.A.
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C
S.S.S.
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D
R.H.S.
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Solution

The correct option is A S.A.S.
In ΔACB and ΔADB,


AC = AD (Given)
CAB=DAB (AB bisects A)
and AB = AB (Common side)
ΔACBΔADB (S.A.S rule)

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