Copia de Taller 2: Homotecia y Traslación Final

$O$

$A$

$B$

$C$

$D$

$E$

$F$

$A'$

$B'$

$C'$

$D'$

$E'$

$F'$

$P$

$Q$

$\overrightarrow{v}$

$A''$

$B''$

$C''$

$D''$

$E''$

$F''$

$G$

$H$

$I$

$J$

$K$

$L$

|\vec{v}|=6

O: (0, 0)
A: (4, 12)
B: (6.681547584745267, 11.936951049392219)
C: (6.768031192730979, 10.236106759006535)
D = (9.653470289566291, 10.907133073367683)
E: (10, 14)
F: (6, 14)
pol1, a, b, c, d, e, f = Polygon(A, B, C, D, E, F)
k = 0.2 (slider from 0.2 to 1.5, step 0.1)
A' = Dilate(A, k, O)
B' = Dilate(B, k, O)
C' = Dilate(C, k, O)
D' = Dilate(D, k, O)
E' = Dilate(E, k, O)
F' = Dilate(F, k, O)
pol1', a', b', c', d', e', f' = Polygon(A', B', C', D', E', F')
g = Segment(O, D')
A'_{1} = Dilate(A, 0.6, O)
B'_{1} = Dilate(B, 0.6, O)
C'_{1} = Dilate(C, 0.6, O)
D'_{1} = Dilate(D, 0.6, O)
E'_{1} = Dilate(E, 0.6, O)
F'_{1} = Dilate(F, 0.6, O)
pol1'_{1}, a'_{1}, b'_{1}, c'_{1}, d'_{1}, e'_{1}, f'_{1} = Polygon(A'_{1}, B'_{1}, C'_{1}, D'_{1}, E'_{1}, F'_{1})
v = 0 (slider from 0 to 4, step 0.2)
P: (-7, 9)
Q: (v - 7, (-1.1 * v) + 9)
u = Vector((-7, 9), Q)
A'' = Translate(A', u)
B'' = Translate(B', u)
C'' = Translate(C', u)
D'' = Translate(D', u)
E'' = Translate(E', u)
F'' = Translate(F', u)
pol1'', a'', b'', c'', d'', e'', f'' = Polygon(A'', B'', C'', D'', E'', F'')
G_{1} = (10, 4)
w = Vector(E'_{1}, G_{1})
G = Translate(A'_{1}, w)
H = Translate(B'_{1}, w)
I = Translate(C'_{1}, w)
J = Translate(D'_{1}, w)
K = Translate(E'_{1}, w)
L = Translate(F'_{1}, w)
pol2, h_1, i, j, k_1, l, m = Polygon(G, H, I, J, K, L)
n = Segment(A', O)
p = Segment(E', E'')
q = Segment(C', C'')
r = Segment(A', A'')
s = Segment(E, E'')
t = Segment(C, C'')
f_1 = Segment(A, A'')
g_1 = Segment(D', D'')
i_1 = Segment(F', F'')
M = Point(i_1)
j_1 = Segment(O, M)
N = Point(j_1)
l_1 = Segment(N, B')
m_1 = Segment(N, E')
n_1 = Segment(B', B'')
o: abs(u)
h = Circle(P, o)
pol3, p_1, q_1, r_1, s_1, t_1, a_1 = Polygon(E'_{1}, F'_{1}, A'_{1}, B'_{1}, C'_{1}, D'_{1})