Question

All I need is the answer please and thank you

Answer 1

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