Question 1210469
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Which  of the following conditions ensures that triangles ABC and DEF are similar? Select all that apply.

(1) A = B, D = C, F = E, B = A, AB/AD = BC/BE
(2) A = D, AB/EF = BC/DE
(3) AB perp CD, DE perp AE, AB = DE and BC = BD
(4) AB parallel to BC, AB parallel to AC, CA parallel to FD
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        The analysis by  @CPhill in part  (2)  is incorrect and his conclusion 

        for this part is incorrect,  too.



<pre>
Indeed,  one condition, A = D, does relate to angles A and D.


The second condition,  AB/EF = BC/DE,  can be equivalently rewritten in the form

    AB/BC = EF/DE,


and this form tells us that this proportion relates to the sides concluding angles
B in triangle ABC and E in triangle DEF.


In any case, this proportion is not applicable to congruent angles A and D,
so, WE CAN NOT CONCLUDE that triangles ABC and DEF are similar: we have no BASE
to make such a conclusion.
</pre>

So, again, in part (2), the analysis and the conclusion by @CPhill are incorrect.


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My conclusion after consideration of solution by @CPhill is as follows:


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(a) &nbsp;&nbsp;too many words and irrelevant reasoning that confuse the reader;


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(b) &nbsp;&nbsp;absence of the correct firm general idea/conception.



My evaluation of the work by @CPhill &nbsp;(same as his version of &nbsp;" Artificial intelligence ")

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;in the scale &nbsp;" acceptable - unacceptable " :



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<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Unacceptable</H3>
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