Question
From write:
$i.\ $All paris of parallel lines.
$ii.\ $All pairs of intersecting lines.
$iii.\ $Lines whose point of intersection is $I.$
$iv.\ $Lines whose point of intersection is $D.$
$v.\ $Lines whose point of intersection is $E$.
$vi.\ $Lines whose point of intersection is $A.$
$vii.\ $Collinear points.
 

Answer

$i.\ $All pairs of intersecting lines:
$(l, m), (m, n)$ and $(l, n)$
$ii.\ $All pairs of intersecting lines:
$(l, p), (m, p), (n, p), (l, r), (m, r), (n, r), (I, q), (m, q), (n, q), (q, p), (q, r)$
$iii.\ $Lines whose point of intersection is $l:$
$(m, p)$
$iv.\ $Lines whose point of intersection is $D:$
$(l, r)$
$v.\ $Lines whose point of intersection $E:$
$(m, r)$
$vi.\ $Lines whose point of intersection is $A:$
$(l, q)$
$vii.\ $Collinear points:
$(G, A, B$ and $C) ,(D, E, J$ and $F), ( G, H, I$ and $J, K), (A, H$ and $D), (B, I$ and $E)$ and $(C, F$ and $K).$

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