Mathematics
In the given figure, BC // DA and BC = DA, then :
AB and CD bisect each other
AB ≠ CD
OA = OC
OA = OD
Triangles
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Answer
In △ BOC and △ DOA,
⇒ ∠DOA = ∠BOC (Vertically opposite angles are equal)
⇒ ∠OAD = ∠OBC (Alternate angles are equal)
⇒ ∠ODA = ∠OCB (Alternate angles are equal)
∴ △ BOC ≅ △ DOA (By A.A.A. axiom)
We know that,
Corresponding parts of congruent triangles are equal.
∴ OD = OC and OA = OB.
∴ AB and CD bisect each other.
Hence, Option 1 is the correct option.
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