[a,b,c,d]= [a',b',c',d']

A = (1.94, -0.54)
c = (6.16, -0.56)
a_1 = Line(A, c)
a = Point(a_1)
b = Point(a_1)
d = Point(a_1)
X = (0.3, 4.74)
e = Line(X, a)
f = Line(b, X)
g = Line(X, c)
h = Line(X, d)
a' = Point(e)
b' = Point(f)
i = Line(a', b')
c' = Intersect(g, i)
d' = Intersect(h, i)