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All I need is the answer please and thank you

All I need is the answer please and thank you-example-1

1 Answer

4 votes

Given triangle FGH and triangle HIJ

From the figure given it can be observed that


\begin{gathered} \angle F\cong\angle J \\ \angle G\cong\angle I \\ \angle FHG\cong\angle JHI \end{gathered}

Also


\begin{gathered} FG\cong IJ \\ FH\cong HJ \\ GH\cong HI \end{gathered}

Therefore,


\Delta FHG\cong\Delta JHI(A\text{ AA, or, SSS postulate similarity)}

Hence, the correct option is

∠F ≅ ∠J, ∠G ≅ ∠I, ∠FHG ≅ ∠JHI

FG ≅ IJ, FH ≅ HJ, GH ≅ HI

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