Question

Based on the information provided in the picture above, which of the
following theorems can be used to show that ∆ ≅ ∆ ?

Answer 1

HL theorem. HL stands for Hypotenuse-Leg, and only works for right triangles, which is what your diagram is. Note that if the triangles weren't right triangles, then they may or may not be congruent ,as SSA isn't enough to prove congruency.

Answer 2

Thank you

Answer 3

No problem!