Question

AB and DC are two equal mad parallel lines .show that DA and CB are also equal and parallel.please solve with a diagram and step by step guys . thank u

Answer 1

Hey
This is the solution for your question.
Hope it helps :)

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)