Question

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

Answer 1

Triangle EJH is congruent to triangle EIH.

Step-by-step explanation:

In the diagram:

`\begin{gathered} HJ\cong HI \\ \angle J\cong\angle I \end{gathered}`

The two triangles share side HE in common.

Therefore:

`\triangle\text{HJE}\cong\triangle\text{HIE}`

If we write the letters backwards, we have that:

`\triangle\text{EJH}\cong\triangle\text{EIH}`

Therefore, triangle EJH congruent to triangle EIH.