Proof of congruent triangles

geogr10

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I am supposed to choose between the SSS postulate or the SAS postulate to prove this but I do not understand how to do either using the given statements provided (shown as 1-4 in the diagram) PLEASE HELP
 

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What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

Hint: Since E is the midpoint of \(\displaystyle \overline{DF}\), how is the length of \(\displaystyle \overline{DE}\) related to the length \(\displaystyle \overline{EF}\)? Since \(\displaystyle \overline{AC}\,||\,\overline{DF}\) and \(\displaystyle \overline{EB}\, \bot\, \overline{AC}\) what angle does \(\displaystyle \overline{BE}\) make with \(\displaystyle \overline{DF}\)
 
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I am supposed to choose between the SSS postulate or the SAS postulate to prove this but I do not understand how to do either using the given statements provided (shown as 1-4 in the diagram) PLEASE HELP
The key is to recall that if a line in perpendicular to one of two parallel lines the line is perpendicular to the other.

That gives you an altitude of the triangles.
 
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