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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, .
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, .
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, .
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, .