IMO Level 1- Mathematics Olympiad (SOF) Class 3: Questions 466 - 466 of 582

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Question number: 466

» Geometry

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Question

How many triangles are there in the given figure?

Polygon poly1Polygon poly1: Polygon [A, B, 3] Polygon poly1Polygon poly1: Polygon [A, B, 3] Polygon poly2Polygon poly2: Polygon [C, B, 4] Polygon poly2Polygon poly2: Polygon [C, B, 4] Pentagon poly3Pentagon poly3: Polygon E, F, G, A, CQuadrilateral poly4Quadrilateral poly4: Polygon C, H, F, EPolygon poly5Polygon poly5: Polygon [I, J, 3] Polygon poly5Polygon poly5: Polygon [I, J, 3] Polygon poly6Polygon poly6: Polygon [L, M, 3] Polygon poly6Polygon poly6: Polygon [L, M, 3] Polygon poly7Polygon poly7: Polygon [Q, R, 3] Polygon poly7Polygon poly7: Polygon [Q, R, 3] Polygon poly8Polygon poly8: Polygon [O, P, 3] Polygon poly8Polygon poly8: Polygon [O, P, 3] Polygon poly9Polygon poly9: Polygon [U, V, 3] Polygon poly9Polygon poly9: Polygon [U, V, 3] Polygon poly10Polygon poly10: Polygon [Z, A_1,3] Polygon poly10Polygon poly10: Polygon [Z, A_1,3] Quadrilateral poly11Quadrilateral poly11: Polygon E_1, F_1, G_1, H_1Polygon poly12Polygon poly12: Polygon [I_1, J_1,3] Polygon poly12Polygon poly12: Polygon [I_1, J_1,3] Polygon poly14Polygon poly14: Polygon [O_1, P_1,3] Polygon poly14Polygon poly14: Polygon [O_1, P_1,3] Polygon poly15Polygon poly15: Polygon [R_1, S_1,3] Polygon poly15Polygon poly15: Polygon [R_1, S_1,3] Polygon poly13Polygon poly13: Polygon [L_1, M_1,3] Polygon poly13Polygon poly13: Polygon [L_1, M_1,3] Polygon poly18Polygon poly18: Polygon [W_2, Z_2,3] Polygon poly18Polygon poly18: Polygon [W_2, Z_2,3] Polygon poly19Polygon poly19: Polygon [B_3, C_3,3] Polygon poly19Polygon poly19: Polygon [B_3, C_3,3] Polygon poly16Polygon poly16: Polygon [Q_2, R_2,3] Polygon poly16Polygon poly16: Polygon [Q_2, R_2,3] Polygon poly17Polygon poly17: Polygon [T_2, U_2,3] Polygon poly17Polygon poly17: Polygon [T_2, U_2,3] Polygon poly20Polygon poly20: Polygon [E_3, F_3,3] Polygon poly20Polygon poly20: Polygon [E_3, F_3,3] Polygon poly21Polygon poly21: Polygon [H_3, I_3,3] Polygon poly21Polygon poly21: Polygon [H_3, I_3,3] Circle d_1Circle d_1: Circle through D_1 with center C_1Circle d_1Circle d_1: Circle through D_1 with center C_1Circle c_2Circle c_2: Circle through V_1 with center U_1Circle d_2Circle d_2: Circle through Z_1 with center W_1Circle r_2Circle r_2: Circle through B_2 with center A_2Circle s_2Circle s_2: Circle through D_2 with center C_2Circle t_2Circle t_2: Circle through F_2 with center E_2Circle c_3Circle c_3: Circle through H_2 with center G_2Circle d_3Circle d_3: Circle through J_2 with center I_2Circle e_3Circle e_3: Circle through L_2 with center K_2Circle g_3Circle g_3: Circle through N_2 with center M_2Circle h_3Circle h_3: Circle through P_2 with center O_2Segment fSegment f: Segment [A, B] of Polygon poly1Segment gSegment g: Segment [B, C] of Polygon poly1Segment hSegment h: Segment [C, A] of Polygon poly1Segment iSegment i: Segment [C, B] of Polygon poly2Segment jSegment j: Segment [B, D] of Polygon poly2Segment kSegment k: Segment [D, E] of Polygon poly2Segment lSegment l: Segment [E, C] of Polygon poly2Segment eSegment e: Segment [E, F] of Pentagon poly3Segment f_1Segment f_1: Segment [F, G] of Pentagon poly3Segment g_1Segment g_1: Segment [G, A] of Pentagon poly3Segment aSegment a: Segment [A, C] of Pentagon poly3Segment cSegment c: Segment [C, E] of Pentagon poly3Segment c_1Segment c_1: Segment [C, H] of Quadrilateral poly4Segment h_1Segment h_1: Segment [H, F] of Quadrilateral poly4Segment f_2Segment f_2: Segment [F, E] of Quadrilateral poly4Segment e_1Segment e_1: Segment [E, C] of Quadrilateral poly4Segment mSegment m: Segment [I, J] of Polygon poly5Segment nSegment n: Segment [J, K] of Polygon poly5Segment pSegment p: Segment [K, I] of Polygon poly5Segment qSegment q: Segment [L, M] of Polygon poly6Segment rSegment r: Segment [M, N] of Polygon poly6Segment sSegment s: Segment [N, L] of Polygon poly6Segment tSegment t: Segment [Q, R] of Polygon poly7Segment bSegment b: Segment [R, S] of Polygon poly7Segment dSegment d: Segment [S, Q] of Polygon poly7Segment i_1Segment i_1: Segment [O, P] of Polygon poly8Segment j_1Segment j_1: Segment [P, T] of Polygon poly8Segment k_1Segment k_1: Segment [T, O] of Polygon poly8Segment l_1Segment l_1: Segment [U, V] of Polygon poly9Segment m_1Segment m_1: Segment [V, W] of Polygon poly9Segment n_1Segment n_1: Segment [W, U] of Polygon poly9Segment p_1Segment p_1: Segment [Z, A_1] of Polygon poly10Segment q_1Segment q_1: Segment [A_1, B_1] of Polygon poly10Segment r_1Segment r_1: Segment [B_1, Z] of Polygon poly10Segment e_2Segment e_2: Segment [E_1, F_1] of Quadrilateral poly11Segment f_3Segment f_3: Segment [F_1, G_1] of Quadrilateral poly11Segment g_2Segment g_2: Segment [G_1, H_1] of Quadrilateral poly11Segment h_2Segment h_2: Segment [H_1, E_1] of Quadrilateral poly11Segment s_1Segment s_1: Segment [I_1, J_1] of Polygon poly12Segment t_1Segment t_1: Segment [J_1, K_1] of Polygon poly12Segment a_1Segment a_1: Segment [K_1, I_1] of Polygon poly12Segment k_2Segment k_2: Segment [O_1, P_1] of Polygon poly14Segment l_2Segment l_2: Segment [P_1, Q_1] of Polygon poly14Segment m_2Segment m_2: Segment [Q_1, O_1] of Polygon poly14Segment n_2Segment n_2: Segment [R_1, S_1] of Polygon poly15Segment p_2Segment p_2: Segment [S_1, T_1] of Polygon poly15Segment q_2Segment q_2: Segment [T_1, R_1] of Polygon poly15Segment b_1Segment b_1: Segment [L_1, M_1] of Polygon poly13Segment i_2Segment i_2: Segment [M_1, N_1] of Polygon poly13Segment j_2Segment j_2: Segment [N_1, L_1] of Polygon poly13Segment m_3Segment m_3: Segment [W_2, Z_2] of Polygon poly18Segment n_3Segment n_3: Segment [Z_2, A_3] of Polygon poly18Segment p_3Segment p_3: Segment [A_3, W_2] of Polygon poly18Segment q_3Segment q_3: Segment [B_3, C_3] of Polygon poly19Segment r_3Segment r_3: Segment [C_3, D_3] of Polygon poly19Segment s_3Segment s_3: Segment [D_3, B_3] of Polygon poly19Segment a_2Segment a_2: Segment [Q_2, R_2] of Polygon poly16Segment b_2Segment b_2: Segment [R_2, S_2] of Polygon poly16Segment i_3Segment i_3: Segment [S_2, Q_2] of Polygon poly16Segment j_3Segment j_3: Segment [T_2, U_2] of Polygon poly17Segment k_3Segment k_3: Segment [U_2, V_2] of Polygon poly17Segment l_3Segment l_3: Segment [V_2, T_2] of Polygon poly17Segment t_3Segment t_3: Segment [E_3, F_3] of Polygon poly20Segment a_3Segment a_3: Segment [F_3, G_3] of Polygon poly20Segment b_3Segment b_3: Segment [G_3, E_3] of Polygon poly20Segment f_4Segment f_4: Segment [H_3, I_3] of Polygon poly21Segment g_4Segment g_4: Segment [I_3, J_3] of Polygon poly21Segment h_4Segment h_4: Segment [J_3, H_3] of Polygon poly21

The Figure Made by Different Geometry Shape

Choices

Choice (4)Response

a.

17

b.

11

c.

15

d.

14

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