[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The required additional information required to prove the Triangles congruent are :
[tex]\qquad \sf \dashrightarrow \: 1. \: X V= FD[/tex]
The Triangles will be congruent by HL congruency.
[tex]\qquad \sf \dashrightarrow \: 2. \: MH = MI[/tex]
The Triangles are congruent by LL congruency.
[tex]\qquad \sf \dashrightarrow \: 3. \: \angle EDC = \angle VUC[/tex]
The Triangles are congruent by HA congruency.
[tex]\qquad \sf \dashrightarrow \: 4. \: \angle J = \angle C[/tex]
The Triangles are congruent by LA congruency.
