Why is AAA criterion not there in congruence of triangles ???
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Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles. When you're trying to determine if two triangles are congruent, there are 4 shortcuts that will work. Because there are 6 corresponding parts 3 angles and 3 sides, you don't need to know all of them.
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AAA criteria is not applicable for congruence of triangle. It can be
understood by following example.
In the above figure, P=A
(here A refers to angle A)
also, R=C
and Q=B
but it is clearly visible that the sizes of the ∆s are not same i.e. ∆ABC is not congruent to ∆PQR.
THEREFORE AAA CONGRUENCE CRITERIA DOESN'T EXIST..
(but if you have studied class 10 then you will know that ∆ABC~∆PQR)
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