Mathematics
Which of the following will hold true for the given figure :
AD = DC
CD = CB
∠ACD ≠ ∠ACB
∠B ≠ ∠D
Triangles
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Answer
From figure,
In △ ADC and △ ABC,
⇒ ∠DAC = ∠BAC (Given)
⇒ AD = AB (Given)
⇒ AC = AC (Common side)
∴ △ ADC ≅ △ ABC (By S.A.S. axiom)
We know that,
Corresponding parts of congruent triangles are equal.
∴ CD = CB (By C.P.C.T.C.)
Hence, Option 2 is the correct option.
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