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Mathematics

In △ABD, C is a point on side BD such that ∠ACD = ∠BAD. Is △BAD similar to triangle ACD? If yes, then which axiom is satisfied :

  1. Yes, ASA

  2. Yes, SAS

  3. Yes, AA

  4. No

In △ABD, C is a point on side BD such that ∠ACD = ∠BAD. Is △BAD similar to triangle ACD? If yes, then which axiom is satisfied : Similarity, Concise Mathematics Solutions ICSE Class 10.

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Answer

From figure,

In △ BAD and △ ACD,

⇒ ∠BAD = ∠ACD (Given)

⇒ ∠ADB = ∠ADC (Common angle)

∴ △ BAD ~ △ ACD (By A.A. axiom)

Hence, Option 3 is the correct option.

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