If angle ADC and angle ABC are right angles, AC=BD, and AB=DC, which postulate or theorem proves triangle ABC is congruent to triangle CDA?

Question

anonymous · Answer

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anonymous · Answer

@nincompoop

nincompoop · Answer

I am not that savvy with theorems and proving in math.  
But if ∠ADC and ∠ABC are both right angles, we can deduce that our object or shape is either a rectangle or a square. Based on that we can rule in congruence

anonymous · Answer

okay thanks 
!

nincompoop · Answer

and if |AC ⩭ |BD (are congruent) then we can deduce that |AD ⩭ BC (are congruent), similarly with lines |AB ⩭ |DC (are congruent)

and since that is the case, it makes △ADC ⩭ △ABC (congruent)

we can put values in to prove our case, but that's not the point of theorems

nincompoop · Answer

maybe after my next semester I will be a lot better at this and I would be able to teach it better

anonymous · Answer

I understand , thanks for taking your time to help :)