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two triangles are called congruent triangles if and only if they have exactly the same shape and same size.

there are five axioms of congruency in total:

S.S.S[Side side side] axiom of congruency.
S.A.S [side angle side] axiom of congruency.
A.S.A [angle side angle] axiom of congruency.
A.A.S [angle angle side] axiom of congruency.
R.H.S [right angle hypotenuse side] axiom of congruency.
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