Signs of equality of right-angled triangles?

Rectangular triangles can be equal:
– along the leg and hypotenuse. By combining these two triangles with equal legs, an isosceles triangle is formed with a lateral side equal to the hypotenuse, the angles at the base of such a triangle will be equal, then the triangles are equal in two sides and the angle between them;
– on two legs. This equality can be proved in two ways:
1. there is a right angle between the legs, therefore, these triangles are equal on two sides and the angle between them;
2. by the Pythagorean theorem, we calculate that the hypotenuses of these triangles are equal, then all three sides of the triangles are equal;
– along the leg and sharp corner. This can be proved by the fact that two angles are adjacent to the leg (acute and straight), therefore the triangles are equal in side and two angles that are adjacent to it;
– by hypotenuse and acute angle. Equality can be proved using the theorem on the sum of the angles of a triangle: since these triangles have two angles (straight line = 90 degrees and acute = A), the third angle (acute angle B) will be equal to: B = 180 – 90 – A. Therefore , for these triangles all angles are equal and one side is equal, then these triangles will be equal in side and two adjacent angles.