Symmetry and Practical Geometry (IMO- Mathematics Olympiad Class 6): Questions 48 - 48 of 50

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Question number: 48

» Symmetry and Practical Geometry

MCQ▾

Question

Which of the following figures does not have a line of symmetry?

Choices

Choice (4) Response

a.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1_1 Polygon poly1_1: Polygon [A_1, B_1, 4] Polygon poly1_1 Polygon poly1_1: Polygon [A_1, B_1, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_2, B_2, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_2, B_2, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_4, B_3, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_4, B_3, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_9, B_6, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_9, B_6, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {12}, B_8, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {12}, B_8, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {14}, B_ {12}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {14}, B_ {12}, 4] Segment f Segment f: Segment [A, B] of Polygon poly1Segment g Segment g: Segment [B, C] of Polygon poly1Segment h Segment h: Segment [C, D] of Polygon poly1Segment i Segment i: Segment [D, A] of Polygon poly1Segment f_1 Segment f_1: Segment [A_1, B_1] of Polygon poly1_1Segment g_1 Segment g_1: Segment [B_1, C_1] of Polygon poly1_1Segment h_1 Segment h_1: Segment [C_1, D_1] of Polygon poly1_1Segment i_1 Segment i_1: Segment [D_1, A_1] of Polygon poly1_1Segment f_2 Segment f_2: Segment [A_2, B_2] of Polygon poly1_2Segment g_2 Segment g_2: Segment [B_2, C_2] of Polygon poly1_2Segment h_2 Segment h_2: Segment [C_2, D_2] of Polygon poly1_2Segment i_2 Segment i_2: Segment [D_2, A_2] of Polygon poly1_2Segment f_3 Segment f_3: Segment [A_4, B_3] of Polygon poly1_3Segment g_3 Segment g_3: Segment [B_3, C_3] of Polygon poly1_3Segment h_3 Segment h_3: Segment [C_3, D_3] of Polygon poly1_3Segment i_3 Segment i_3: Segment [D_3, A_4] of Polygon poly1_3Segment f_4 Segment f_4: Segment [A_6, B_4] of Polygon poly1_4Segment g_4 Segment g_4: Segment [B_4, C_4] of Polygon poly1_4Segment h_4 Segment h_4: Segment [C_4, D_4] of Polygon poly1_4Segment i_4 Segment i_4: Segment [D_4, A_6] of Polygon poly1_4Segment f_5 Segment f_5: Segment [A_9, B_6] of Polygon poly1_5Segment g_5 Segment g_5: Segment [B_6, C_5] of Polygon poly1_5Segment h_5 Segment h_5: Segment [C_5, D_5] of Polygon poly1_5Segment i_5 Segment i_5: Segment [D_5, A_9] of Polygon poly1_5Segment f_6 Segment f_6: Segment [A_ {12}, B_8] of Polygon poly1_6Segment g_6 Segment g_6: Segment [B_8, C_6] of Polygon poly1_6Segment h_6 Segment h_6: Segment [C_6, D_6] of Polygon poly1_6Segment i_6 Segment i_6: Segment [D_6, A_ {12} ] of Polygon poly1_6Segment f_7 Segment f_7: Segment [A_ {13}, B_ {10} ] of Polygon poly1_7Segment g_7 Segment g_7: Segment [B_ {10}, C_7] of Polygon poly1_7Segment h_7 Segment h_7: Segment [C_7, D_7] of Polygon poly1_7Segment i_7 Segment i_7: Segment [D_7, A_ {13} ] of Polygon poly1_7Segment f_8 Segment f_8: Segment [A_ {14}, B_ {12} ] of Polygon poly1_8Segment g_8 Segment g_8: Segment [B_ {12}, C_8] of Polygon poly1_8Segment h_8 Segment h_8: Segment [C_8, D_8] of Polygon poly1_8Segment i_8 Segment i_8: Segment [D_8, A_ {14} ] of Polygon poly1_8

Image of a Square Made by Some Small Squares: Choice a

Showing an image of a square made by some small squares

b.

Polygon poly1_1 Polygon poly1_1: Polygon [A_1, B_1, 4] Polygon poly1_1 Polygon poly1_1: Polygon [A_1, B_1, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_2, B_2, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_2, B_2, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_4, B_3, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_4, B_3, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {12}, B_8, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {12}, B_8, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {15}, B_ {14}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {15}, B_ {14}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {18}, B_ {17}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {18}, B_ {17}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {19}, B_ {19}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {19}, B_ {19}, 4] Segment f_1 Segment f_1: Segment [A_1, B_1] of Polygon poly1_1Segment g_1 Segment g_1: Segment [B_1, C_1] of Polygon poly1_1Segment h_1 Segment h_1: Segment [C_1, D_1] of Polygon poly1_1Segment i_1 Segment i_1: Segment [D_1, A_1] of Polygon poly1_1Segment f_2 Segment f_2: Segment [A_2, B_2] of Polygon poly1_2Segment g_2 Segment g_2: Segment [B_2, C_2] of Polygon poly1_2Segment h_2 Segment h_2: Segment [C_2, D_2] of Polygon poly1_2Segment i_2 Segment i_2: Segment [D_2, A_2] of Polygon poly1_2Segment f_3 Segment f_3: Segment [A_4, B_3] of Polygon poly1_3Segment g_3 Segment g_3: Segment [B_3, C_3] of Polygon poly1_3Segment h_3 Segment h_3: Segment [C_3, D_3] of Polygon poly1_3Segment i_3 Segment i_3: Segment [D_3, A_4] of Polygon poly1_3Segment f_4 Segment f_4: Segment [A_6, B_4] of Polygon poly1_4Segment g_4 Segment g_4: Segment [B_4, C_4] of Polygon poly1_4Segment h_4 Segment h_4: Segment [C_4, D_4] of Polygon poly1_4Segment i_4 Segment i_4: Segment [D_4, A_6] of Polygon poly1_4Segment f_6 Segment f_6: Segment [A_ {12}, B_8] of Polygon poly1_6Segment g_6 Segment g_6: Segment [B_8, C_6] of Polygon poly1_6Segment h_6 Segment h_6: Segment [C_6, D_6] of Polygon poly1_6Segment i_6 Segment i_6: Segment [D_6, A_ {12} ] of Polygon poly1_6Segment f_7 Segment f_7: Segment [A_ {13}, B_ {10} ] of Polygon poly1_7Segment g_7 Segment g_7: Segment [B_ {10}, C_7] of Polygon poly1_7Segment h_7 Segment h_7: Segment [C_7, D_7] of Polygon poly1_7Segment i_7 Segment i_7: Segment [D_7, A_ {13} ] of Polygon poly1_7Segment f_8 Segment f_8: Segment [A_ {15}, B_ {14} ] of Polygon poly1_8Segment g_8 Segment g_8: Segment [B_ {14}, C_8] of Polygon poly1_8Segment h_8 Segment h_8: Segment [C_8, D_8] of Polygon poly1_8Segment i_8 Segment i_8: Segment [D_8, A_ {15} ] of Polygon poly1_8Segment f_9 Segment f_9: Segment [A_ {18}, B_ {17} ] of Polygon poly1_9Segment g_9 Segment g_9: Segment [B_ {17}, C_9] of Polygon poly1_9Segment h_9 Segment h_9: Segment [C_9, D_9] of Polygon poly1_9Segment i_9 Segment i_9: Segment [D_9, A_ {18} ] of Polygon poly1_9Segment f_5 Segment f_5: Segment [A_ {19}, B_ {19} ] of Polygon poly1_5Segment g_5 Segment g_5: Segment [B_ {19}, C_5] of Polygon poly1_5Segment h_5 Segment h_5: Segment [C_5, D_5] of Polygon poly1_5Segment i_5 Segment i_5: Segment [D_5, A_ {19} ] of Polygon poly1_5

Image of a Square Made by Some Small Squares: Choice B

Showing an image of a square made by some small squares

c.

Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_6, B_4, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {13}, B_ {10}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {20}, B_ {17}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {20}, B_ {17}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {28}, B_ {29}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {28}, B_ {29}, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_ {31}, B_ {32}, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_ {31}, B_ {32}, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {34}, B_ {35}, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {34}, B_ {35}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {37}, B_ {38}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {37}, B_ {38}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {38}, B_ {41}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {38}, B_ {41}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {39}, B_ {44}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {39}, B_ {44}, 4] Segment f_4 Segment f_4: Segment [A_6, B_4] of Polygon poly1_4Segment g_4 Segment g_4: Segment [B_4, C_4] of Polygon poly1_4Segment h_4 Segment h_4: Segment [C_4, D_4] of Polygon poly1_4Segment i_4 Segment i_4: Segment [D_4, A_6] of Polygon poly1_4Segment f_7 Segment f_7: Segment [A_ {13}, B_ {10} ] of Polygon poly1_7Segment g_7 Segment g_7: Segment [B_ {10}, C_7] of Polygon poly1_7Segment h_7 Segment h_7: Segment [C_7, D_7] of Polygon poly1_7Segment i_7 Segment i_7: Segment [D_7, A_ {13} ] of Polygon poly1_7Segment f_5 Segment f_5: Segment [A_ {20}, B_ {17} ] of Polygon poly1_5Segment g_5 Segment g_5: Segment [B_ {17}, C_5] of Polygon poly1_5Segment h_5 Segment h_5: Segment [C_5, D_5] of Polygon poly1_5Segment i_5 Segment i_5: Segment [D_5, A_ {20} ] of Polygon poly1_5Segment f_2 Segment f_2: Segment [A_ {28}, B_ {29} ] of Polygon poly1_2Segment g_2 Segment g_2: Segment [B_ {29}, C_2] of Polygon poly1_2Segment h_2 Segment h_2: Segment [C_2, D_2] of Polygon poly1_2Segment i_2 Segment i_2: Segment [D_2, A_ {28} ] of Polygon poly1_2Segment f_3 Segment f_3: Segment [A_ {31}, B_ {32} ] of Polygon poly1_3Segment g_3 Segment g_3: Segment [B_ {32}, C_3] of Polygon poly1_3Segment h_3 Segment h_3: Segment [C_3, D_3] of Polygon poly1_3Segment i_3 Segment i_3: Segment [D_3, A_ {31} ] of Polygon poly1_3Segment f_6 Segment f_6: Segment [A_ {34}, B_ {35} ] of Polygon poly1_6Segment g_6 Segment g_6: Segment [B_ {35}, C_6] of Polygon poly1_6Segment h_6 Segment h_6: Segment [C_6, D_6] of Polygon poly1_6Segment i_6 Segment i_6: Segment [D_6, A_ {34} ] of Polygon poly1_6Segment f_8 Segment f_8: Segment [A_ {37}, B_ {38} ] of Polygon poly1_8Segment g_8 Segment g_8: Segment [B_ {38}, C_8] of Polygon poly1_8Segment h_8 Segment h_8: Segment [C_8, D_8] of Polygon poly1_8Segment i_8 Segment i_8: Segment [D_8, A_ {37} ] of Polygon poly1_8Segment f_9 Segment f_9: Segment [A_ {38}, B_ {41} ] of Polygon poly1_9Segment g_9 Segment g_9: Segment [B_ {41}, C_9] of Polygon poly1_9Segment h_9 Segment h_9: Segment [C_9, D_9] of Polygon poly1_9Segment i_9 Segment i_9: Segment [D_9, A_ {38} ] of Polygon poly1_9Segment f_ {10} Segment f_ {10}: Segment [A_ {39}, B_ {44} ] of Polygon poly1_ {10} Segment g_ {10} Segment g_ {10}: Segment [B_ {44}, C_ {10} ] of Polygon poly1_ {10} Segment h_ {10} Segment h_ {10}: Segment [C_ {10}, D_ {10} ] of Polygon poly1_ {10} Segment i_ {10} Segment i_ {10}: Segment [D_ {10}, A_ {39} ] of Polygon poly1_ {10}

Image of a Square Made by Some Small Squares: Choice C

Showing an image of a square made by some small squares

d.

Polygon poly1_6 Polygon poly1_6: Polygon [A_ {34}, B_ {35}, 4] Polygon poly1_6 Polygon poly1_6: Polygon [A_ {34}, B_ {35}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {37}, B_ {38}, 4] Polygon poly1_8 Polygon poly1_8: Polygon [A_ {37}, B_ {38}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {39}, B_ {44}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {39}, B_ {44}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {40}, B_ {47}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {40}, B_ {47}, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_ {41}, B_ {52}, 4] Polygon poly1_3 Polygon poly1_3: Polygon [A_ {41}, B_ {52}, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_ {42}, B_ {57}, 4] Polygon poly1_4 Polygon poly1_4: Polygon [A_ {42}, B_ {57}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {43}, B_ {63}, 4] Polygon poly1_5 Polygon poly1_5: Polygon [A_ {43}, B_ {63}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {46}, B_ {66}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {46}, B_ {66}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {49}, B_ {69}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {49}, B_ {69}, 4] Segment f_6 Segment f_6: Segment [A_ {34}, B_ {35} ] of Polygon poly1_6Segment g_6 Segment g_6: Segment [B_ {35}, C_6] of Polygon poly1_6Segment h_6 Segment h_6: Segment [C_6, D_6] of Polygon poly1_6Segment i_6 Segment i_6: Segment [D_6, A_ {34} ] of Polygon poly1_6Segment f_8 Segment f_8: Segment [A_ {37}, B_ {38} ] of Polygon poly1_8Segment g_8 Segment g_8: Segment [B_ {38}, C_8] of Polygon poly1_8Segment h_8 Segment h_8: Segment [C_8, D_8] of Polygon poly1_8Segment i_8 Segment i_8: Segment [D_8, A_ {37} ] of Polygon poly1_8Segment f_ {10} Segment f_ {10}: Segment [A_ {39}, B_ {44} ] of Polygon poly1_ {10} Segment g_ {10} Segment g_ {10}: Segment [B_ {44}, C_ {10} ] of Polygon poly1_ {10} Segment h_ {10} Segment h_ {10}: Segment [C_ {10}, D_ {10} ] of Polygon poly1_ {10} Segment i_ {10} Segment i_ {10}: Segment [D_ {10}, A_ {39} ] of Polygon poly1_ {10} Segment f_2 Segment f_2: Segment [A_ {40}, B_ {47} ] of Polygon poly1_2Segment g_2 Segment g_2: Segment [B_ {47}, C_2] of Polygon poly1_2Segment h_2 Segment h_2: Segment [C_2, D_2] of Polygon poly1_2Segment i_2 Segment i_2: Segment [D_2, A_ {40} ] of Polygon poly1_2Segment f_3 Segment f_3: Segment [A_ {41}, B_ {52} ] of Polygon poly1_3Segment g_3 Segment g_3: Segment [B_ {52}, C_3] of Polygon poly1_3Segment h_3 Segment h_3: Segment [C_3, D_3] of Polygon poly1_3Segment i_3 Segment i_3: Segment [D_3, A_ {41} ] of Polygon poly1_3Segment f_4 Segment f_4: Segment [A_ {42}, B_ {57} ] of Polygon poly1_4Segment g_4 Segment g_4: Segment [B_ {57}, C_4] of Polygon poly1_4Segment h_4 Segment h_4: Segment [C_4, D_4] of Polygon poly1_4Segment i_4 Segment i_4: Segment [D_4, A_ {42} ] of Polygon poly1_4Segment f_5 Segment f_5: Segment [A_ {43}, B_ {63} ] of Polygon poly1_5Segment g_5 Segment g_5: Segment [B_ {63}, C_5] of Polygon poly1_5Segment h_5 Segment h_5: Segment [C_5, D_5] of Polygon poly1_5Segment i_5 Segment i_5: Segment [D_5, A_ {43} ] of Polygon poly1_5Segment f_7 Segment f_7: Segment [A_ {46}, B_ {66} ] of Polygon poly1_7Segment g_7 Segment g_7: Segment [B_ {66}, C_7] of Polygon poly1_7Segment h_7 Segment h_7: Segment [C_7, D_7] of Polygon poly1_7Segment i_7 Segment i_7: Segment [D_7, A_ {46} ] of Polygon poly1_7Segment f_9 Segment f_9: Segment [A_ {49}, B_ {69} ] of Polygon poly1_9Segment g_9 Segment g_9: Segment [B_ {69}, C_9] of Polygon poly1_9Segment h_9 Segment h_9: Segment [C_9, D_9] of Polygon poly1_9Segment i_9 Segment i_9: Segment [D_9, A_ {49} ] of Polygon poly1_9

Image of a Square Made by Some Small Squares: Choice D

Showing an image of a square made by some small squares

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