Use vector XY for translations
Use point P for rotations
Use line l for reflections

Line m is parallel to vector XY
Line n passes through point P

A = (-1.72, 3.7)
B = (1.68, 3.74)
a = Line(A, B)
C = (-0.38, 5.32)
b = Line(C, a)
D = Point(b)
c = Segment(C, A)
d = Segment(A, B)
M = Midpoint(d)
X = (-3.5, 0.68)
Y = (-2.12, 2.46)
u = Vector(X, Y)
P = (1.9, 1.92)
E = (-1.26, 0.16)
F = (4.08, 1.06)
l = Line(E, F)
G = (-3.1, 3.34)
m = Line(G, u)
H = (5.06, 3.6)
n = Line(P, H)