Question 100
A line $l$ meets the right branch of the hyperbola $y = 1/x$ ($x \gt 0$) at points $A$ and $B$. Lines $l_1$ and $l_2$ are parallel to $l$ and meet the left branch of this hyperbola ($x \lt 0$) at points $E$, $F$ and $C$, $D$, respectively. The line $l_1$ intersects the segments $AD$ and $BC$ at points $G$ and $H$, respectively.
Prove that $GE = HF$.
Prove that $GE = HF$.