Question

5. In the given figure ABCD is a quadrilateral and AC is a diagonal . Prove that ∆ABC =~ ∆ CDA . Is AD || CB ? ​

Answer 1

Answer:

ABCD is a quadrilateral, where AD=BC and ∠DAB=∠CBA

In △ABD and △BAC,

⇒ AD=BC [ Given ]

⇒ ∠DAB=∠CBA [ Given ]

⇒ AB=BA [ Common side ]

∴ △ABD≅△BAC [ SAS Congruence rule ]

∴ ∠ABD=∠BAC [ CPCT ]

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