QuestionDetermine which pairs of triangles are similar. Use a sketch to help explain how you know. \begin{tabular}{|l|l|l|} \hline \multicolumn{1}{|c|}{ Triangle } & \multicolumn{1}{|c|}{ Angles } & \multicolumn{1}{c|}{ Sides } \\ \hline$\triangle \mathrm{ABC}$ & $\angle \mathrm{A}=90^{\circ}$ & $\mathrm{AB}=6$ \\ & $\angle \mathrm{~B}=45^{\circ}$ & $\mathrm{BC}=8.4$ \\ & $\angle \mathrm{C}=45^{\circ}$ & $\mathrm{AC}=6$ \\ \hline$\triangle \mathrm{EFG}$ & $\angle \mathrm{E}=90^{\circ}$ & $\mathrm{EF}=3$ \\ & $\angle \mathrm{~F}=45^{\circ}$ & $\mathrm{FG}=4.2$ \\ & $\angle \mathrm{G}=45^{\circ}$ & $\mathrm{EG}=3$ \\ \hline$\triangle \mathrm{HIJ}$ & $\angle \mathrm{H}=90^{\circ}$ & $\mathrm{HI}=9.2$ \\ & $\angle \mathrm{I}=60^{\circ}$ & $\mathrm{IJ}=18.4$ \\ & $\angle \mathrm{~J}=30^{\circ}$ & $\mathrm{HJ}=15.9$ \\ \hline$\triangle \mathrm{KLM}$ & $\angle \mathrm{K}=90^{\circ}$ & $\mathrm{KL}=9$ \\ & $\angle \mathrm{~L}=45^{\circ}$ & $\mathrm{LM}=12.6$ \\ & $\angle \mathrm{M}=45^{\circ}$ & $\mathrm{KM}=9$ \\ \hline \end{tabular}