In fig, AB||DC and AB=DC. Prove that ABD =cong CDB. Show that AD||BC. – InterviewSolution

1.	In fig, AB\|\|DC and AB=DC. Prove that ABD =cong CDB. Show that AD\|\|BC.
Answer» In ∆ABD and ∆ BDCAD = DC (given)AD = BC ( given)BD = BD (common)by SSS rule ∆ABD is congurent ∆DCBso angle ABD = angle CDBso alternative angle are equal so AB\|\|DC

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