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Using the two column proof method prove △DBC ≅ △BDA given AD//BD, AB/// CD

Using the two column proof method prove △DBC ≅ △BDA given AD//BD, AB/// CD-example-1

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Answer:

In △DBC and △BDA

  1. angle BAD = angle BCD ( A )( being opposite angles of the paralogram)
  2. BD=BD (S) ( being common side of the triangle)
  3. angle ABD =angle BDC (A) ( being alternate angles)
  4. △DBC ≅ △BDA (by A.S.A axiom )

proved.

User Vignesh Kumar A
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