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36 votes
36 votes
Given: ABCDis a parallelogram ∠GEC ≅ ∠HFA and AE ≅FC.
Prove △GEC ≅ △HFA.

Given: ABCDis a parallelogram ∠GEC ≅ ∠HFA and AE ≅FC. Prove △GEC ≅ △HFA.-example-1
User Lerk
by
2.2k points

1 Answer

8 votes
8 votes

<GEC=<HFA

As

  • AE=FC
  • FE=FE(Common in both

So

  • FE+AE=FE+CE

Cancel FE

  • A F=E C

Also

<CAH=<GCE(Alternative interior angles)

Henceforth

△GEC ≅ △HFA(ASA)

User Turin
by
3.2k points
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