What is Right triangle congruence theorems?

Right triangle congruence theorems are specific criteria used to determine if two right triangles are congruent, meaning they have the same size and shape. The three main theorems are: the Hypotenuse-Leg (HL) theorem, which states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent; the Leg-Leg (LL) theorem, which states that if both legs of two right triangles are equal, then the triangles are congruent; and the Angle-Hypotenuse (AH) theorem, which states that if one angle and the hypotenuse of one right triangle are equal to the corresponding angle and hypotenuse of another, the triangles are congruent.