Is triangle EJH congruent to triangle EIH? Explain your reasoning.

Answer:
Triangle EJH is congruent to triangle EIH.
Explanation:
In the diagram:
[tex]\begin{gathered} HJ\cong HI \\ \angle J\cong\angle I \end{gathered}[/tex]The two triangles share side HE in common.
Therefore:
[tex]\triangle\text{HJE}\cong\triangle\text{HIE}[/tex]If we write the letters backwards, we have that:
[tex]\triangle\text{EJH}\cong\triangle\text{EIH}[/tex]Therefore, triangle EJH congruent to triangle EIH.