Question

Ad=bc and angle dab =cba to prove triangle abd is congruent triangle bac

Answer 1

Answer:

given - AD=BC —(1)

angle DAB=angle CBA —(2)

to proved - I) ∆ABD ~ ∆BAC

II) BD=AC

III) angle ABD =angle BAC

Step-by-step explanation:

PROOF In ∆ABD and∆BAC

AD =BC ( given)

angle DAB = angle CBA (given)

AB = BA ( common)

∆ABD ~ ∆ BAC (sss congruence rules)

♦ BD =AC (CPCT)

AND

angle AND = angle BAC (CPCT)

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