HL Exploration
In the exploration below, segments A'B' (Hypotenuse) and B'C' (leg) are fixed to match the lengths of their corresponding objects, and the angle at point C' is fixed to be congruent to angle BCA, but this angle must always remain a right angle (you might need to change angle C to be 90 degrees). Experiment by moving the points around in order to test to see if Hypotenuse-Leg is a criteria for triangle congruence. Is it possible to make the second triangle different than the first, or are they always congruent?