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Calcula el factor de semejanza
           entre las figuras

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Solución

A1: 3.6
n2 = 0 (slider from 0 to 1, step 1)
a0 = 3 (slider from 2 to 4, step 0.5)
a00: Random[20, 40] / 10
a = If(n2 ≟ 0, a0, a00)
A = (-2.5, 4)
B_2 = (-1.5, 4)
polígono1, f, g, h, i, C, B = Polygon(A, B_2, 4)
F = (-2.5, 2.5)
E = (-2.5, 1)
G = (-1.5, 1)
polígono2, g_1, e, f_1 = Polygon(F, E, G)
H = (-4, 4)
polígono1' = Dilate(polígono1, a, H)
I = (-4, 1)
F' = Dilate(F, a, I)
E' = Dilate(E, a, I)
G' = Dilate(G, a, I)
polígono2', g', e', f' = Polygon(F', E', G')
J = (-2.5, -1.5)
K = (-1.5, -1.5)
polígono3, j, k, l, m, L, M = Polygon(J, K, 4)
N = Midpoint(M, J)
O = Midpoint(J, K)
P_1 = Midpoint(K, L)
Q = Midpoint(L, M)
R = Midpoint(N, P_1)
S = Midpoint(Q, M)
T = Midpoint(M, N)
U = Midpoint(N, R)
V = Midpoint(R, Q)
P = Midpoint(O, R)
Z = Midpoint(R, P_1)
A_1 = Midpoint(P_1, K)
B_1 = Midpoint(K, O)
polígono4, s, t, n, u, w, o, b_1, a_1, p, z_1, v, q = Polygon(S, T, N, U, P, O, B_1, A_1, P_1, Z, V, Q)
C_1 = (-4, -1.5)
S' = Dilate(S, a, C_1)
T' = Dilate(T, a, C_1)
N' = Dilate(N, a, C_1)
U' = Dilate(U, a, C_1)
P' = Dilate(P, a, C_1)
O' = Dilate(O, a, C_1)
D_1 = Dilate(B_1, a, C_1)
E_1 = Dilate(A_1, a, C_1)
P'_1 = Dilate(P_1, a, C_1)
Z' = Dilate(Z, a, C_1)
V' = Dilate(V, a, C_1)
Q' = Dilate(Q, a, C_1)
polígono4', s', t', n', u', w', o', d_1, e_1, p', z', v', q' = Polygon(S', T', N', U', P', O', D_1, E_1, P'_1, Z', V', Q')
n1 = 1 (slider from 1 to 3, step 1)
a1: (Distance[A, B] * 2)
a2: (Distance[F, E] * 2)
b2: (Distance[F', E'] * 2)
c3 = Distance(R, O)
b3: (Distance[O', P'] * 2)
a3: (Distance[R, P] * 2)
B' = Dilate(B, a, H)
A' = Dilate(A, a, H)
b1: (Distance[A', B'] * 2)
texto3c: "EF=" + a2 + ""
texto3d: "E'F'=" + b2 + ""
texto3a: "AB=" + a1 + ""
texto3f: "OP=" + a3 + ""
texto3g: "O'P'=" + b3 + ""
texto3b: "A'B'= " + b1 + ""
texto4a: "\frac{A'B'}{AB}=\frac{" + (LaTeX[b1]) + "}{" + (LaTeX[a1]) + "}=" + (LaTeX[a]) + ""
texto4b: "\frac{E'F'}{EF}=\frac{ " + (LaTeX[b2]) + "}{ " + (LaTeX[a2]) + "}= " + (LaTeX[a]) + ""
texto4c: "\frac{O'P'}{OP}=\frac{ " + (LaTeX[b3]) + "}{ " + (LaTeX[a3]) + "}= " + (LaTeX[a]) + ""
texto4 = If(n1 ≟ 1, texto4a, If[n1 ≟ 2, texto4b, texto4c])
D = (-4.451111111111115, 7.573333333333336)
texto2: "Factor de semejanza r = " + a + ""
texto5 = If(A1 ≟ a, texto5b, texto5a)
n3 = 1 (slider from 0 to 1, step 1)
CasillaDeEntrada1 = Textfield(A1)
W = (-3.682, 2.5047906976744168)