The sides A B and C A have produced such that AB = AD and CA =AE.
prove that DE || BC
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Answer:
Step-by-step explanation:
In ΔADE and ΔABC
BA = AD [ Given ]
CA=AE [ Given ]
∠1 = ∠ 2 [ Vertically opposite angles ]
ΔADE ≅ ΔABC [ SAS ]
∠ADE = ∠ABC [ cpct ]
∠ADE and ∠ABC are the alternate interior angles for the line segment DE and BC !!!
Hence, DE || BC
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