Question

Complete the proof that \( \triangle H J K \cong \Delta H J I \). \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & \( \overline{J K} \cong \overline{I J} \) & Given \\ 2 & \( \overline{H I} \cong \overline{H K} \) & Given \\ 3 & \( \overline{H J} \cong \overline{H J} \) & Reflexive Property of Congruence \\ 4 & \( \triangle H J K \cong \triangle H J I \) & \\ \hline \end{tabular}

          Complete the proof that \( \triangle H J K \cong \Delta H J I \).
\begin{tabular}{|l|l|l|}
\hline & Statement & Reason \\
\hline 1 & \( \overline{J K} \cong \overline{I J} \) & Given \\
2 & \( \overline{H I} \cong \overline{H K} \) & Given \\
3 & \( \overline{H J} \cong \overline{H J} \) & Reflexive Property of Congruence \\
4 & \( \triangle H J K \cong \triangle H J I \) & \\
\hline
\end{tabular}

Complete the proof that H J K ≅Δ H J I.

Statement Reason

1 J K≅I J Given

2 H I≅H K Given

3 H J≅H J Reflexive Property of Congruence

4 H J K ≅ H J I

Added by Aaron M.

Elementary Geometry for College Students

Daniel C. Alexander, Geralyn M.… 6th Edition

Chapter 5

Instant Answer

Solved by Expert Chareen Guzman

Step 1

Step 1: Identify the given congruences: \( \overline{J K} \cong \overline{I J} \) and \( \overline{H I} \cong \overline{H K} \). Show more…

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Complete the proof that \( \triangle H J K \cong \Delta H J I \). \begin{tabular}{|l|l|l|} \hline & Statement & Reason \\ \hline 1 & \( \overline{J K} \cong \overline{I J} \) & Given \\ 2 & \( \overline{H I} \cong \overline{H K} \) & Given \\ 3 & \( \overline{H J} \cong \overline{H J} \) & Reflexive Property of Congruence \\ 4 & \( \triangle H J K \cong \triangle H J I \) & \\ \hline \end{tabular}