Question 1064742
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Take note how 
D and J are the first letters of the letter sequences
E and K are the second letters of the letter sequences
F and L are the third letters of the letter sequences


This order and correspondence is important. 


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We are given &#8736;D &#8773; &#8736;J


To prove the two triangles similar, there are two scenarios possible.


Scenario 1: If we knew that <font color=red>&#8736;E &#8773; &#8736;K</font>, then we have enough to add to the initial facts to prove that the triangles are similar.


OR


Scenario 2: If we knew that <font color=red>&#8736;F &#8773; &#8736;L</font>, then we have enough to add to the initial facts to prove that the triangles are similar.  


There are no other scenarios possible. Only one of the scenarios needs to be shown (not necessarily both at the same time). Recall that the Angle Angle (AA) Similarity Theorem only needs two congruent pairs of angles. We don't need all three. 
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