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

Is triangle EJH congruent to triangle EIH? Explain your reasoning.-example-1

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Answer:

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.

User Shoyer
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