HelloKitty17
  • HelloKitty17
Help please don't understand this question. Will medal!
Mathematics
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chestercat
  • chestercat
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Michele_Laino
  • Michele_Laino
a simple proof, can be this: |dw:1447437362353:dw| Here I consider a rectangle and its 2 diagonals
Michele_Laino
  • Michele_Laino
since a rectangle is a special parallelogram, then we can say that opposites sides are congruent. So we can write: \[\begin{gathered} AD \simeq BC \hfill \\ AB \simeq DC \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
Now I consider the subsequent triangles: |dw:1447437547643:dw| and |dw:1447437578084:dw|

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Michele_Laino
  • Michele_Laino
we can note that angles DAB and CBA are congruent since they are 90 degrees both
Michele_Laino
  • Michele_Laino
now, using the SAS criterion of similitude, I can say that the triangles ABC and ABD are congruent each other, in particular we can say that sides AC and BD are congruent each other

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