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RHS congruency, or, right angle, hypotenuse and corresponding side.
The checking for right-angled triangles is RHS:Right angle - they both haver a right angleHypotenuse - the hypotenuse of the triangles are congruentSide - a corresponding side of the triangles are congruent.
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
Hl & ha
You can't use SSA or ASS as a postulate because it doesn't determine that the triangles are congruent; right triangles are most likely determined by HL: hypotenuse leg- genius!