Mathematics
In the adjoining figure, AB = DC and AB || DC. Prove that AD = BC.
Triangles
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Answer
In △ABD and △CDB,
AD = BC (Given)
∠ABD = ∠CDB (Alternate angles are equal)
BD = BD (Common sides)
∴ △ABD ≅ △CDB. (By SAS axiom)
We know that corresponding sides of congruent triangles are equal.
∴ AD = BC.
Hence, proved that AD = BC.
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