Math, asked by jhakalpana20, 1 month ago

In the given figure, show that AD = BC​

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Answered by samikshaa28
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Answered by Anupk3724
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In ΔAOD & ΔBOC

In ΔAOD & ΔBOC OA=OB (given)

In ΔAOD & ΔBOC OA=OB (given) OD=OC (given)

In ΔAOD & ΔBOC OA=OB (given) OD=OC (given)∠AOD=∠BOC ( vertically opposite angles )

ΔAOD≅ΔBOC (by SAS condition of congruency )

ΔAOD≅ΔBOC (by SAS condition of congruency ) ⟹AD=BC (corresponding parts of congruent triangles are equal)

ΔAOD≅ΔBOC (by SAS condition of congruency ) ⟹AD=BC (corresponding parts of congruent triangles are equal) Hence , it is proved.

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