leahhhmorgannn
  • leahhhmorgannn
Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Consider the parallelogram http://assets.openstudy.com/updates/attachments/52e74667e4b096fa405b41e8-yttrium-1390888812280-1.jpg
anonymous
  • anonymous
Thru definition, we know that AB || CD and BD || DA
anonymous
  • anonymous
We are to prove that AB = CD and BD = DA Then let AC be the diagonal of the parallelogram

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anonymous
  • anonymous
Consider two triangles ABC and CDA as the figure we had. In triangles, 1.
anonymous
  • anonymous
From conditions 1,2 and 3, Triangles ABC and CDA are congruent (By Angle -Side-Angle congruency property) Hence as triangles are congruent triangles , the corresponding sides are equal, Hence, AB = CD and BC = DA.
leahhhmorgannn
  • leahhhmorgannn
Thing is, if you're going to explain this, it's probably best to start from the beginning because I'm not even sure what a parallelogram IS
anonymous
  • anonymous
so the answer will be Consider two triangles ABC and CDA as the figure we had. In triangles, 1.
anonymous
  • anonymous
A parallelogram is a shape... Like this one: http://assets.openstudy.com/updates/attachments/52e74667e4b096fa405b41e8-yttrium-1390888812280-1.jpg
anonymous
  • anonymous
Hope this helped! Have a great day! @leahhhmorgannn
leahhhmorgannn
  • leahhhmorgannn
See, I have no idea what any of what you just posted even means. Or how to read it. So that's completely unhelpful. Thanks for nothing.
leahhhmorgannn
  • leahhhmorgannn
@Data_LG2
leahhhmorgannn
  • leahhhmorgannn
@Mehek14

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