Right Triangle Congruence
Leg-Leg Congruence
If the legs of a right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.
In the figure, 
.
So, 
Hypotenuse-Angle Congruence
If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the triangles are congruent.
In the figure, 
.
So, .
Leg-Angle Congruence
If one leg and an acute angle of a right triangle are congruent to one leg and the corresponding acute angle of another right triangle, then the triangles are congruent.
In the figure, 
.
So, .
Hypotenuse-Leg Congruence
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.
In the figure, 
.
So, .
