Symmetry and Practical Geometry (IMO- Mathematics Olympiad Class 6): Questions 23 - 28 of 50

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Question number: 23

» Symmetry and Practical Geometry

MCQ▾

Question

A rhombus is symmetrical about

Choices

Choice (4) Response

a.

Perpendicular bisector of each of its sides

b.

Each of its diagonals

c.

The line joining the midpoints of its opposite sides

d.

All of the above

Question number: 24

» Symmetry and Practical Geometry

MCQ▾

Question

A line segment Equation cm is bisected at D and then Equation is again bisected at point E, then length Equation is

Choices

Choice (4) Response

a.

1.8 cm

b.

1.4 cm

c.

3.6 cm

d.

3 cm

Question number: 25

» Symmetry and Practical Geometry

MCQ▾

Question

A line segment Equation cm is bisected at O, then length Equation is

Choices

Choice (4) Response

a.

16.4 cm

b.

4 cm

c.

4.2 cm

d.

4.1 cm

Question number: 26

» Symmetry and Practical Geometry

MCQ▾

Question

An angle Equation is bisected by an angular bisector KP, then the measure of Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 27

» Symmetry and Practical Geometry

MCQ▾

Question

A rectangle has

Choices

Choice (4) Response

a.

Three lines of symmetry

b.

One line of symmetry

c.

Two lines of symmetry

d.

Four lines of symmetry

Question number: 28

» Symmetry and Practical Geometry

MCQ▾

Question

What is the smallest number of squares that must be added so that the line AB becomes a line of symmetry?

Polygon poly1_ {12} Polygon poly1_ {12}: Polygon [A_ {59}, B_ {79}, 4] Polygon poly1_ {12} Polygon poly1_ {12}: Polygon [A_ {59}, B_ {79}, 4] Polygon poly1_ {13} Polygon poly1_ {13}: Polygon [A_ {58}, B_ {78}, 4] Polygon poly1_ {13} Polygon poly1_ {13}: Polygon [A_ {58}, B_ {78}, 4] Polygon poly1_ {14} Polygon poly1_ {14}: Polygon [A_ {57}, B_ {77}, 4] Polygon poly1_ {14} Polygon poly1_ {14}: Polygon [A_ {57}, B_ {77}, 4] Polygon poly1_ {15} Polygon poly1_ {15}: Polygon [A_ {56}, B_ {76}, 4] Polygon poly1_ {15} Polygon poly1_ {15}: Polygon [A_ {56}, B_ {76}, 4] Polygon poly1_ {16} Polygon poly1_ {16}: Polygon [A_ {55}, B_ {75}, 4] Polygon poly1_ {16} Polygon poly1_ {16}: Polygon [A_ {55}, B_ {75}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {76}, B_ {138}, 4] Polygon poly1_2 Polygon poly1_2: Polygon [A_ {76}, B_ {138}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {77}, B_ {145}, 4] Polygon poly1_7 Polygon poly1_7: Polygon [A_ {77}, B_ {145}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {79}, B_ {163}, 4] Polygon poly1_9 Polygon poly1_9: Polygon [A_ {79}, B_ {163}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {80}, B_ {172}, 4] Polygon poly1_ {10} Polygon poly1_ {10}: Polygon [A_ {80}, B_ {172}, 4] Polygon poly1_ {17} Polygon poly1_ {17}: Polygon [A_ {82}, B_ {189}, 4] Polygon poly1_ {17} Polygon poly1_ {17}: Polygon [A_ {82}, B_ {189}, 4] Polygon poly1_ {19} Polygon poly1_ {19}: Polygon [A_ {84}, B_ {206}, 4] Polygon poly1_ {19} Polygon poly1_ {19}: Polygon [A_ {84}, B_ {206}, 4] Polygon poly1_ {20} Polygon poly1_ {20}: Polygon [A_ {85}, B_ {212}, 4] Polygon poly1_ {20} Polygon poly1_ {20}: Polygon [A_ {85}, B_ {212}, 4] Polygon poly1_ {21} Polygon poly1_ {21}: Polygon [A_ {87}, B_ {220}, 4] Polygon poly1_ {21} Polygon poly1_ {21}: Polygon [A_ {87}, B_ {220}, 4] Polygon poly1_ {22} Polygon poly1_ {22}: Polygon [A_ {89}, B_ {228}, 4] Polygon poly1_ {22} Polygon poly1_ {22}: Polygon [A_ {89}, B_ {228}, 4] Polygon poly1_ {23} Polygon poly1_ {23}: Polygon [A_ {90}, B_ {233}, 4] Polygon poly1_ {23} Polygon poly1_ {23}: Polygon [A_ {90}, B_ {233}, 4] Polygon poly1_ {24} Polygon poly1_ {24}: Polygon [A_ {91}, B_ {238}, 4] Polygon poly1_ {24} Polygon poly1_ {24}: Polygon [A_ {91}, B_ {238}, 4] Polygon poly1_ {25} Polygon poly1_ {25}: Polygon [A_ {92}, B_ {243}, 4] Polygon poly1_ {25} Polygon poly1_ {25}: Polygon [A_ {92}, B_ {243}, 4] Polygon poly1_ {26} Polygon poly1_ {26}: Polygon [A_ {95}, B_ {258}, 4] Polygon poly1_ {26} Polygon poly1_ {26}: Polygon [A_ {95}, B_ {258}, 4] Polygon poly1_ {29} Polygon poly1_ {29}: Polygon [A_ {99}, B_ {278}, 4] Polygon poly1_ {29} Polygon poly1_ {29}: Polygon [A_ {99}, B_ {278}, 4] Polygon poly1_ {32} Polygon poly1_ {32}: Polygon [A_ {101}, B_ {288}, 4] Polygon poly1_ {32} Polygon poly1_ {32}: Polygon [A_ {101}, B_ {288}, 4] Polygon poly1_ {34} Polygon poly1_ {34}: Polygon [A_ {103}, B_ {298}, 4] Polygon poly1_ {34} Polygon poly1_ {34}: Polygon [A_ {103}, B_ {298}, 4] Segment f_ {12} Segment f_ {12}: Segment [A_ {59}, B_ {79} ] of Polygon poly1_ {12} Segment g_ {12} Segment g_ {12}: Segment [B_ {79}, C_ {18} ] of Polygon poly1_ {12} Segment h_ {12} Segment h_ {12}: Segment [C_ {18}, D_ {18} ] of Polygon poly1_ {12} Segment i_ {12} Segment i_ {12}: Segment [D_ {18}, A_ {59} ] of Polygon poly1_ {12} Segment f_ {13} Segment f_ {13}: Segment [A_ {58}, B_ {78} ] of Polygon poly1_ {13} Segment g_ {13} Segment g_ {13}: Segment [B_ {78}, C_ {17} ] of Polygon poly1_ {13} Segment h_ {13} Segment h_ {13}: Segment [C_ {17}, D_ {17} ] of Polygon poly1_ {13} Segment i_ {13} Segment i_ {13}: Segment [D_ {17}, A_ {58} ] of Polygon poly1_ {13} Segment f_ {14} Segment f_ {14}: Segment [A_ {57}, B_ {77} ] of Polygon poly1_ {14} Segment g_ {14} Segment g_ {14}: Segment [B_ {77}, C_ {16} ] of Polygon poly1_ {14} Segment h_ {14} Segment h_ {14}: Segment [C_ {16}, D_ {16} ] of Polygon poly1_ {14} Segment i_ {14} Segment i_ {14}: Segment [D_ {16}, A_ {57} ] of Polygon poly1_ {14} Segment f_ {15} Segment f_ {15}: Segment [A_ {56}, B_ {76} ] of Polygon poly1_ {15} Segment g_ {15} Segment g_ {15}: Segment [B_ {76}, C_ {15} ] of Polygon poly1_ {15} Segment h_ {15} Segment h_ {15}: Segment [C_ {15}, D_ {15} ] of Polygon poly1_ {15} Segment i_ {15} Segment i_ {15}: Segment [D_ {15}, A_ {56} ] of Polygon poly1_ {15} Segment f_ {16} Segment f_ {16}: Segment [A_ {55}, B_ {75} ] of Polygon poly1_ {16} Segment g_ {16} Segment g_ {16}: Segment [B_ {75}, C_ {14} ] of Polygon poly1_ {16} Segment h_ {16} Segment h_ {16}: Segment [C_ {14}, D_ {14} ] of Polygon poly1_ {16} Segment i_ {16} Segment i_ {16}: Segment [D_ {14}, A_ {55} ] of Polygon poly1_ {16} Segment j Segment j: Segment [A, B] Segment f_2 Segment f_2: Segment [A_ {76}, B_ {138} ] of Polygon poly1_2Segment g_2 Segment g_2: Segment [B_ {138}, C_6] of Polygon poly1_2Segment h_2 Segment h_2: Segment [C_6, D_6] of Polygon poly1_2Segment i_2 Segment i_2: Segment [D_6, A_ {76} ] of Polygon poly1_2Segment f_7 Segment f_7: Segment [A_ {77}, B_ {145} ] of Polygon poly1_7Segment g_7 Segment g_7: Segment [B_ {145}, 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_ {77} ] of Polygon poly1_7Segment f_9 Segment f_9: Segment [A_ {79}, B_ {163} ] of Polygon poly1_9Segment g_9 Segment g_9: Segment [B_ {163}, 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_ {79} ] of Polygon poly1_9Segment f_ {10} Segment f_ {10}: Segment [A_ {80}, B_ {172} ] of Polygon poly1_ {10} Segment g_ {10} Segment g_ {10}: Segment [B_ {172}, 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_ {80} ] of Polygon poly1_ {10} Segment f_ {17} Segment f_ {17}: Segment [A_ {82}, B_ {189} ] of Polygon poly1_ {17} Segment g_ {17} Segment g_ {17}: Segment [B_ {189}, C_ {12} ] of Polygon poly1_ {17} Segment h_ {17} Segment h_ {17}: Segment [C_ {12}, D_ {12} ] of Polygon poly1_ {17} Segment i_ {17} Segment i_ {17}: Segment [D_ {12}, A_ {82} ] of Polygon poly1_ {17} Segment f_ {19} Segment f_ {19}: Segment [A_ {84}, B_ {206} ] of Polygon poly1_ {19} Segment g_ {19} Segment g_ {19}: Segment [B_ {206}, C_ {19} ] of Polygon poly1_ {19} Segment h_ {19} Segment h_ {19}: Segment [C_ {19}, D_ {19} ] of Polygon poly1_ {19} Segment i_ {19} Segment i_ {19}: Segment [D_ {19}, A_ {84} ] of Polygon poly1_ {19} Segment f_ {20} Segment f_ {20}: Segment [A_ {85}, B_ {212} ] of Polygon poly1_ {20} Segment g_ {20} Segment g_ {20}: Segment [B_ {212}, C_ {20} ] of Polygon poly1_ {20} Segment h_ {20} Segment h_ {20}: Segment [C_ {20}, D_ {20} ] of Polygon poly1_ {20} Segment i_ {20} Segment i_ {20}: Segment [D_ {20}, A_ {85} ] of Polygon poly1_ {20} Segment f_ {21} Segment f_ {21}: Segment [A_ {87}, B_ {220} ] of Polygon poly1_ {21} Segment g_ {21} Segment g_ {21}: Segment [B_ {220}, C_ {21} ] of Polygon poly1_ {21} Segment h_ {21} Segment h_ {21}: Segment [C_ {21}, D_ {21} ] of Polygon poly1_ {21} Segment i_ {21} Segment i_ {21}: Segment [D_ {21}, A_ {87} ] of Polygon poly1_ {21} Segment f_ {22} Segment f_ {22}: Segment [A_ {89}, B_ {228} ] of Polygon poly1_ {22} Segment g_ {22} Segment g_ {22}: Segment [B_ {228}, C_ {22} ] of Polygon poly1_ {22} Segment h_ {22} Segment h_ {22}: Segment [C_ {22}, D_ {22} ] of Polygon poly1_ {22} Segment i_ {22} Segment i_ {22}: Segment [D_ {22}, A_ {89} ] of Polygon poly1_ {22} Segment f_ {23} Segment f_ {23}: Segment [A_ {90}, B_ {233} ] of Polygon poly1_ {23} Segment g_ {23} Segment g_ {23}: Segment [B_ {233}, C_ {23} ] of Polygon poly1_ {23} Segment h_ {23} Segment h_ {23}: Segment [C_ {23}, D_ {23} ] of Polygon poly1_ {23} Segment i_ {23} Segment i_ {23}: Segment [D_ {23}, A_ {90} ] of Polygon poly1_ {23} Segment f_ {24} Segment f_ {24}: Segment [A_ {91}, B_ {238} ] of Polygon poly1_ {24} Segment g_ {24} Segment g_ {24}: Segment [B_ {238}, C_ {24} ] of Polygon poly1_ {24} Segment h_ {24} Segment h_ {24}: Segment [C_ {24}, D_ {24} ] of Polygon poly1_ {24} Segment i_ {24} Segment i_ {24}: Segment [D_ {24}, A_ {91} ] of Polygon poly1_ {24} Segment f_ {25} Segment f_ {25}: Segment [A_ {92}, B_ {243} ] of Polygon poly1_ {25} Segment g_ {25} Segment g_ {25}: Segment [B_ {243}, C_ {25} ] of Polygon poly1_ {25} Segment h_ {25} Segment h_ {25}: Segment [C_ {25}, D_ {25} ] of Polygon poly1_ {25} Segment i_ {25} Segment i_ {25}: Segment [D_ {25}, A_ {92} ] of Polygon poly1_ {25} Segment f_ {26} Segment f_ {26}: Segment [A_ {95}, B_ {258} ] of Polygon poly1_ {26} Segment g_ {26} Segment g_ {26}: Segment [B_ {258}, C_ {26} ] of Polygon poly1_ {26} Segment h_ {26} Segment h_ {26}: Segment [C_ {26}, D_ {26} ] of Polygon poly1_ {26} Segment i_ {26} Segment i_ {26}: Segment [D_ {26}, A_ {95} ] of Polygon poly1_ {26} Segment f_ {29} Segment f_ {29}: Segment [A_ {99}, B_ {278} ] of Polygon poly1_ {29} Segment g_ {29} Segment g_ {29}: Segment [B_ {278}, C_ {29} ] of Polygon poly1_ {29} Segment h_ {29} Segment h_ {29}: Segment [C_ {29}, D_ {29} ] of Polygon poly1_ {29} Segment i_ {29} Segment i_ {29}: Segment [D_ {29}, A_ {99} ] of Polygon poly1_ {29} Segment f_ {32} Segment f_ {32}: Segment [A_ {101}, B_ {288} ] of Polygon poly1_ {32} Segment g_ {32} Segment g_ {32}: Segment [B_ {288}, C_ {32} ] of Polygon poly1_ {32} Segment h_ {32} Segment h_ {32}: Segment [C_ {32}, D_ {32} ] of Polygon poly1_ {32} Segment i_ {32} Segment i_ {32}: Segment [D_ {32}, A_ {101} ] of Polygon poly1_ {32} Segment f_ {34} Segment f_ {34}: Segment [A_ {103}, B_ {298} ] of Polygon poly1_ {34} Segment g_ {34} Segment g_ {34}: Segment [B_ {298}, C_ {34} ] of Polygon poly1_ {34} Segment h_ {34} Segment h_ {34}: Segment [C_ {34}, D_ {34} ] of Polygon poly1_ {34} Segment i_ {34} Segment i_ {34}: Segment [D_ {34}, A_ {103} ] of Polygon poly1_ {34} Point A A = (8.81, 23.21) Point A A = (8.81, 23.21) Point A A = (8.81, 23.21) Point B B = (32.81, -0.39) Point B B = (32.81, -0.39) Point B B = (32.81, -0.39)

Image Made by Some Squares on a Crossed Line

Showing an image made by some squares on a crossed line

Choices

Choice (4) Response

a.

4

b.

1

c.

2

d.

3

f Page
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