Question

AB and DC are two equal and parallel lines. Show that DA and CB are also equal and parallel

Answer 1

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Answer 2

Answer:

The proof is explained step wise below :

Step-by-step explanation:

The diagram is attached below for better understanding of the solution :

AB ║ CD

Join AC, AD, BC and BD

In ΔAOB and ΔDOC,

∠BAO = ∠CDO ( alternate interior angles are always equal)

∠OBA = ∠OCD ( alternate interior angles are always equal)

∠AOB = ∠DOC ( Vertically opposite angles are equal)

So, By SSS postulate of congruency of triangles

⇒ ΔAOB ≅ ΔDOC

∴ AB = CD (Corresponding parts of congruent triangles are equal)

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