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Given: BD bisects AC and ∠CBE≅∠ADE. Prove: ABCD is a parallelogram. add the reason as well pls
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Given: BD bisects AC and ∠CBE≅∠ADE.

Prove: ABCD is a parallelogram.
add the reason as well pls

Given: BD bisects AC and ∠CBE≅∠ADE. Prove: ABCD is a parallelogram. add the reason-example-1
User Bildsoe
by
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1 Answer

7 votes

Here

  • BC=AD(Parallel)
  • <BEC=<AEC
  • <CBE=<ADE

So

∆BEC
\cong∆AED(ASA)

Also similarly

  • ∆ABE
    \cong∆CBE

Hence it's a paralleogram

User Chethandb
by
4.9k points
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