Vielecke
Author: Mag. G. Wengler

Es sind mehrere Vielecke gezeichnet. Bestimme den Flächeninhalt jeder einzelnen Figur. Du kannst das Blatt auch ausdrucken, um auf dem Papier zu überlegen.

A = (-2, 1)
B = (-1, 2)
C = (0, 1)
D = (-1, 0)
E = (1, 2)
F = (1, 1)
G = (2, 0)
H = (3, 0)
I = (3, 1)
J = (2, 2)
K = (4, 2)
L = (4, 0)
M = (5, 1)
N = (6, 0)
O = (6, 2)
P = (7, 1)
Q = (7, 0)
R = (9, 0)
S = (9, 2)
T = (8, 2)
U = (8, 1)
V = (10, 0)
W = (12, 2)
Z = (12, 0)
A_1 = (-2, -1)
B_1 = (-3, -2)
C_1 = (0, -2)
D_1 = (-3, -3)
E_1 = (-2, -4)
F_1 = (0, -3)
G_1 = (1, -1)
H_1 = (2, -2)
I_1 = (2, -3)
J_1 = (1, -4)
K_1 = (4, -4)
L_1 = (3, -3)
M_1 = (3, -2)
N_1 = (4, -1)
O_1 = (6, -1)
P_1 = (5, -2)
Q_1 = (5, -3)
R_1 = (6, -4)
S_1 = (7, -4)
T_1 = (8, -3)
U_1 = (8, -2)
V_1 = (7, -1)
W_1 = (9, -2)
Z_1 = (10, -2)
A_2 = (10, -1)
B_2 = (11, -1)
C_2 = (11, -2)
D_2 = (12, -2)
E_2 = (12, -3)
F_2 = (11, -4)
G_2 = (10, -4)
H_2 = (9, -3)
I_2 = (-1, -5)
J_2 = (-3, -6)
K_2 = (-2, -8)
L_2 = (0, -7)
poly1, a, d, c, b = Polygon(A, D, C, B)
poly2, e, f, g, h, i, j = Polygon(E, F, G, H, I, J)
poly3, k, l, m, n, o = Polygon(K, L, M, N, O)
poly4, p, q, r, s, t, u = Polygon(P, Q, R, S, T, U)
poly5, w, v, z = Polygon(V, Z, W)
poly6, b_1, d_1, e_1, f_1, c_1, a_1 = Polygon(B_1, D_1, E_1, F_1, C_1, A_1)
poly7, g_1, h_1, m_1, n_1, k_1, l_1, i_1, j_1 = Polygon(G_1, H_1, M_1, N_1, K_1, L_1, I_1, J_1)
poly8, p_1, o_1, v_1, u_1, t_1, s_1, r_1, q_1 = Polygon(P_1, O_1, V_1, U_1, T_1, S_1, R_1, Q_1)
poly9, w_1, z_1, a_2, b_2, c_2, d_2, e_2, f_2, g_2, h_2 = Polygon(W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2)
poly10, j_2, i_2, l_2, k_2 = Polygon(J_2, I_2, L_2, K_2)
M_2 = (1, -5)
N_2 = (1, -6)
O_2 = (2, -7)
P_2 = (1, -8)
Q_2 = (4, -8)
R_2 = (3, -7)
S_2 = (3, -6)
T_2 = (2, -5)
poly11, p_2, q_2, r_2, s_2, t_2, m_2, n_2, o_2 = Polygon(P_2, Q_2, R_2, S_2, T_2, M_2, N_2, O_2)
U_2 = (4, -6)
V_2 = (6, -6)
W_2 = (7, -5)
Z_2 = (8, -6)
A_3 = (7, -8)
B_3 = (5, -7)
C_3 = (4, -7)
poly12, u_2, v_2, w_2, z_2, a_3, b_3, c_3 = Polygon(U_2, V_2, W_2, Z_2, A_3, B_3, C_3)
D_3 = (9, -5)
E_3 = (10, -6)
F_3 = (12, -5)
G_3 = (12, -6)
H_3 = (11, -7)
I_3 = (10, -8)
J_3 = (9, -8)
K_3 = (10, -7)
poly13, d_3, f_3, g_3, h_3, i_3, j_3, k_3, e_3 = Polygon(D_3, F_3, G_3, H_3, I_3, J_3, K_3, E_3)
L_3 = (-3, -10)
M_3 = (-2, -9)
N_3 = (0, -9)
O_3 = (0, -12)
P_3 = (-2, -12)
Q_3 = (-2, -11)
R_3 = (-2, -10)
S_3 = (0, -10)
T_3 = (1, -11)
poly14, m_3, n_3, t_3, o_3, p_3, l_3 = Polygon(M_3, N_3, T_3, O_3, P_3, L_3)
poly15, s_3, r_3, q_3 = Polygon(R_3, Q_3, S_3)
a_4 = Segment(R_3, S_3)
b_4 = Segment(Q_3, S_3)
c_4 = Segment(R_3, Q_3)
U_3 = (2, -9)
V_3 = (3, -11)
W_3 = (2, -12)
Z_3 = (4, -12)
A_4 = (5, -11)
B_4 = (6, -9)
C_4 = (4, -11)
D_4 = (5, -10)
E_4 = (4, -9)
F_4 = (3, -10)
poly16, u_3, b_5, a_5, z_3, w_3, v_3 = Polygon(U_3, B_4, A_4, Z_3, W_3, V_3)
poly17, f_4, e_4, d_4, c_5 = Polygon(F_4, E_4, D_4, C_4)
g_4 = Segment(F_4, E_4)
h_4 = Segment(E_4, D_4)
i_4 = Segment(D_4, C_4)
j_4 = Segment(C_4, F_4)
G_4 = (7, -10)
H_4 = (9, -9)
I_4 = (10, -9)
J_4 = (12, -10)
K_4 = (11, -12)
L_4 = (8, -12)
N_4 = (9, -11)
O_4 = (10, -11)
P_4 = (11, -10)
poly19, h_5, i_5, j_5, k_4, l_4, g_5 = Polygon(H_4, I_4, J_4, K_4, L_4, G_4)
M_4 = (8, -10)
poly18, m_4, p_4, o_4, n_4 = Polygon(M_4, P_4, O_4, N_4)
q_4 = Segment(M_4, P_4)
r_4 = Segment(P_4, O_4)
s_4 = Segment(O_4, N_4)
t_4 = Segment(N_4, M_4)