Question

.

Answer 1

#3 looks hard to justify.

Answer 2

This looks like a bogus proof.
It looks like it's trying to develop SSA congruence, which is ambiguous, and unless you know that the triangle is isosceles, or that D is the midpoint of HT, you can't really go anywhere with this.
Is there some information missing?

Answer 3

Then this proof is unjustifiable.