Question

Consider the diagram.

Answer 1

the answer to this problem is HL                                                  

Answer 2

The answer for the exercise shown in the figure attached is the first option:
 Option 1: HL.
 The explanation of the problem is shown below:
 By the Hypotenuse Leg Theorem (HL), when the hypotenuses of two rigth triangles have the same length and one of the their legs have the same length too, you can conclude that both triangles are congruent. 
 Therefore, the correct answer is the first option.