Which of the following pairs of triangles can be proven congruent through HL?

A.

Step-by-step explanation:

For two traingles to be proven to be congruent to each other by the HL Congruence Theorem, there must be information available which shows us that the hypotenuse and one other correspinding leg of both right triangles are Congruence to each other.

Thus, from the options given, only the pair in option A fits this criterion.

The hypotenuse BC and a leg AB of ∆ABC are congruent to hypotenuse HG and corresponding leg FH of ∆FHG.

Therefore, the pair can be proven to be congruent to each other by HL.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80