IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 556 - 556 of 614

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Question number: 556

» Logical Reasoning

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Question

What is the missing shape?

Polygon poly3 Polygon poly3: Polygon T, U, V, W, Z, A_1, B_1, C_1 Polygon poly3_3 Polygon poly3_3: Polygon T_8, U_7, V_7, W_7, Z_7, A_ {10}, B_ {10}, C_ {10} Polygon poly3_7 Polygon poly3_7: Polygon T_ {12}, U_ {11}, V_ {11}, W_ {11}, Z_ {11}, A_ {14}, B_ {14}, C_ {14} Ellipse e Ellipse e: Ellipse with foci E, H passing through I Ellipse e_1 Ellipse e_1: Ellipse with foci E_1, H_1 passing through I_1 Circle k_1 Circle k_1: Circle through K_1 with center J_1 Circle k_1 Circle k_1: Circle through K_1 with center J_1 Circle k_2 Circle k_2: Circle through K_7 with center J_7 Circle k_2 Circle k_2: Circle through K_7 with center J_7 Ellipse e_2 Ellipse e_2: Ellipse with foci E_ {25}, H_8 passing through I_8 Circle k_3 Circle k_3: Circle through K_8 with center J_8 Circle k_3 Circle k_3: Circle through K_8 with center J_8 Ellipse e_3 Ellipse e_3: Ellipse with foci E_ {27}, H_ {10} passing through I_9 Circle k_5 Circle k_5: Circle through K_9 with center J_9 Circle k_5 Circle k_5: Circle through K_9 with center J_9 Ellipse e_4 Ellipse e_4: Ellipse with foci E_ {29}, H_ {11} passing through I_ {10} Segment f Segment f: Segment [E, F] Segment g Segment g: Segment [F, G] Segment h Segment h: Segment [G, H] Segment t Segment t: Segment [T, U] of Polygon poly3 Segment u Segment u: Segment [U, V] of Polygon poly3 Segment v Segment v: Segment [V, W] of Polygon poly3 Segment w Segment w: Segment [W, Z] of Polygon poly3 Segment z_1 Segment z_1: Segment [Z, A_1] of Polygon poly3 Segment a_1 Segment a_1: Segment [A_1, B_1] of Polygon poly3 Segment b_1 Segment b_1: Segment [B_1, C_1] of Polygon poly3 Segment c_1 Segment c_1: Segment [C_1, T] of Polygon poly3 Segment h_1 Segment h_1: Segment [G_1, H_1] Segment f_1 Segment f_1: Segment [E_2, F_1] Segment g_1 Segment g_1: Segment [F_2, G_2] Segment i Segment i: Segment [D_1, T_1] Segment n_2 Segment n_2: Segment [N_2, O_2] of Pentagon poly1 Segment o_2 Segment o_2: Segment [O_2, P_2] of Pentagon poly1 Segment p_2 Segment p_2: Segment [P_2, Q_2] of Pentagon poly1 Segment q_2 Segment q_2: Segment [Q_2, R_2] of Pentagon poly1 Segment r_2 Segment r_2: Segment [R_2, N_2] of Pentagon poly1 Segment k Segment k: Segment [N_2, Q_2] Segment f_2 Segment f_2: Segment [E_ {25}, F_ {26} ] Segment g_2 Segment g_2: Segment [F_ {26}, G_ {16} ] Segment h_3 Segment h_3: Segment [G_ {17}, H_9] Segment t_3 Segment t_3: Segment [T_8, U_7] of Polygon poly3_3 Segment u_3 Segment u_3: Segment [U_7, V_7] of Polygon poly3_3 Segment v_3 Segment v_3: Segment [V_7, W_7] of Polygon poly3_3 Segment w_3 Segment w_3: Segment [W_7, Z_7] of Polygon poly3_3 Segment z_4 Segment z_4: Segment [Z_7, A_ {10} ] of Polygon poly3_3 Segment a_4 Segment a_4: Segment [A_ {10}, B_ {10} ] of Polygon poly3_3 Segment b_4 Segment b_4: Segment [B_ {10}, C_ {10} ] of Polygon poly3_3 Segment c_4 Segment c_4: Segment [C_ {10}, T_8] of Polygon poly3_3 Segment n_1 Segment n_1: Segment [N_3, O_3] of Pentagon poly1_1 Segment o_1 Segment o_1: Segment [O_3, P_3] of Pentagon poly1_1 Segment p_1 Segment p_1: Segment [P_3, Q_3] of Pentagon poly1_1 Segment q_1 Segment q_1: Segment [Q_3, R_3] of Pentagon poly1_1 Segment r_1 Segment r_1: Segment [R_3, N_3] of Pentagon poly1_1 Segment k_4 Segment k_4: Segment [N_3, Q_3] Segment h_4 Segment h_4: Segment [G_ {18}, H_ {10} ] Segment f_3 Segment f_3: Segment [E_ {26}, F_ {27} ] Segment g_3 Segment g_3: Segment [F_ {28}, G_ {19} ] Segment h_5 Segment h_5: Segment [G_ {20}, H_ {11} ] Segment f_4 Segment f_4: Segment [E_ {28}, F_ {29} ] Segment g_4 Segment g_4: Segment [F_ {30}, G_ {21} ] Segment t_7 Segment t_7: Segment [T_ {12}, U_ {11} ] of Polygon poly3_7 Segment u_7 Segment u_7: Segment [U_ {11}, V_ {11} ] of Polygon poly3_7 Segment v_7 Segment v_7: Segment [V_ {11}, W_ {11} ] of Polygon poly3_7 Segment w_7 Segment w_7: Segment [W_ {11}, Z_ {11} ] of Polygon poly3_7 Segment z_8 Segment z_8: Segment [Z_ {11}, A_ {14} ] of Polygon poly3_7 Segment a_8 Segment a_8: Segment [A_ {14}, B_ {14} ] of Polygon poly3_7 Segment b_8 Segment b_8: Segment [B_ {14}, C_ {14} ] of Polygon poly3_7 Segment c_8 Segment c_8: Segment [C_ {14}, T_ {12} ] of Polygon poly3_7 ? text1 = “? “

Image Made by Different Geometry Shapes

Find the missing figure of the figure series

Choices

Choice (4) Response

a.

Polygon poly3 Polygon poly3: Polygon T, U, V, W, Z, A_1, B_1, C_1 Ellipse e_5 Ellipse e_5: Ellipse with foci E_ {30}, H_ {12} passing through I_ {11} Segment t Segment t: Segment [T, U] of Polygon poly3 Segment u Segment u: Segment [U, V] of Polygon poly3 Segment v Segment v: Segment [V, W] of Polygon poly3 Segment w Segment w: Segment [W, Z] of Polygon poly3 Segment z_1 Segment z_1: Segment [Z, A_1] of Polygon poly3 Segment a_1 Segment a_1: Segment [A_1, B_1] of Polygon poly3 Segment b_1 Segment b_1: Segment [B_1, C_1] of Polygon poly3 Segment c_1 Segment c_1: Segment [C_1, T] of Polygon poly3 Segment f_5 Segment f_5: Segment [E_ {30}, F_ {31} ] Segment g_5 Segment g_5: Segment [F_ {31}, G_ {22} ] Segment h_6 Segment h_6: Segment [G_ {22}, H_ {12} ]

Figure Shows the Missing Shape of Figure Choice-A

Showing image of the missing shape of figure

b.

Polygon poly3 Polygon poly3: Polygon T, U, V, W, Z, A_1, B_1, C_1 Segment t Segment t: Segment [T, U] of Polygon poly3 Segment u Segment u: Segment [U, V] of Polygon poly3 Segment v Segment v: Segment [V, W] of Polygon poly3 Segment w Segment w: Segment [W, Z] of Polygon poly3 Segment z_1 Segment z_1: Segment [Z, A_1] of Polygon poly3 Segment a_1 Segment a_1: Segment [A_1, B_1] of Polygon poly3 Segment b_1 Segment b_1: Segment [B_1, C_1] of Polygon poly3 Segment c_1 Segment c_1: Segment [C_1, T] of Polygon poly3 Segment n_2 Segment n_2: Segment [N_4, O_4] of Pentagon poly1_2 Segment o_2 Segment o_2: Segment [O_4, P_4] of Pentagon poly1_2 Segment p_2 Segment p_2: Segment [P_4, Q_4] of Pentagon poly1_2 Segment q_2 Segment q_2: Segment [Q_4, R_4] of Pentagon poly1_2 Segment r_2 Segment r_2: Segment [R_4, N_4] of Pentagon poly1_2 Segment k_6 Segment k_6: Segment [N_4, Q_4]

Figure Shows the Missing Shape of Figure Choice-B

Showing image of the missing shape of figure

c.

Circle k_2 Circle k_2: Circle through K_ {12} with center J_ {12} Circle k_2 Circle k_2: Circle through K_ {12} with center J_ {12} Segment n_2 Segment n_2: Segment [N_4, O_4] of Pentagon poly1_2 Segment o_2 Segment o_2: Segment [O_4, P_4] of Pentagon poly1_2 Segment p_2 Segment p_2: Segment [P_4, Q_4] of Pentagon poly1_2 Segment q_2 Segment q_2: Segment [Q_4, R_4] of Pentagon poly1_2 Segment r_2 Segment r_2: Segment [R_4, N_4] of Pentagon poly1_2 Segment k_6 Segment k_6: Segment [N_4, Q_4]

Figure Shows the Missing Shape of Figure Choice-C

Showing image of the missing shape of figure

d.

Ellipse e_2 Ellipse e_2: Ellipse with foci E_ {33}, H_ {14} passing through I_ {13} Circle k_3 Circle k_3: Circle through K_ {13} with center J_ {13} Circle k_3 Circle k_3: Circle through K_ {13} with center J_ {13} Segment h_3 Segment h_3: Segment [G_ {25}, H_ {14} ] Segment f_2 Segment f_2: Segment [E_ {34}, F_ {35} ] Segment g_2 Segment g_2: Segment [F_ {34}, G_ {26} ]

Figure Shows the Missing Shape of Figure Choice-D

Showing image of the missing shape of figure