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E:\Working\Orange_Education\Math_Genius_3_(08-10-2025)\Open_Files\CHAP_07
               \ 12-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________







                      Mind Map
                  math                                                                                      Creative Thinking
                                                            Geometry


                      Simple Geometrical Concepts                Plane Shapes                     Solid Shapes


                    Point               Line                                                Cube           Cuboid
                   P   Q                                                                     Face             Face
                   •   •                                    triangle      rectangle
                                                                                                       Edge
                       • R                                  A   Vertex  A  Vertex  D    Edge             Corner (vertex)
                                                                                                 Corner
                            types of Lines                         Side                          (vertex)
                                                                                           Cylinder        Cone
                       Straight Lines                    B           C   B   Side  C
                                          Curved Lines                                         Plane face      Vertex
                Horizontal Vertical Slanting                                                   Curved face     Curved face
                                                             Square         Circle
                                                          A      D                             Edge    Plane     Edge
                                                                                                       face
                                                                   Side
                                                                  Vertex   Centre          Sphere       Hemisphere
                                                                              O
                                                                                                        Edge  Plane face
                     ray            Line Segment          B      C
                  A      B                  Y
                                       X                                                                     Curved face

                                                                                              Plane and Curved Surface
                                                                    Views
                                                                                            •  Some objects
                              Diagonals                                                       have only
                                                                                              plane surfaces.
             A A  A    D D  D          P P   P S S  S     Front view Side view  Top view    •  Some objects
                                                                                              have only
                                                                                              curved
                                                                   tangram                    surfaces.
                       C C
             B B  Rectangle Rectangle  C  Q Q Square Q R R  R
                  B
                 Rectangle
                                           Square
                                               Square
            The diagonals AC and BD of a
                                   The diagonals PR and QS of a square
           The diagonals AC and BD of a   The diagonals PR and QS of a squar e   7-pieces Tangram  •  Some objects
                The diagonals AC and BD of a
                                       The diagonals PR and QS of a square
            rectangle are equal in length.
                                        are equal in length.
                        th
                          .
                 e equal in leng
           rectangle ar rectangle are equal in length.  are equal in length.  3  4            have both
                                            are equal in length.
                                                                      6                       plane and
                                                                     5   2
                                                                   7                          curved
                                                                     1                        surfaces.
                     Mental Maths                                                                            Logical Thinking
                  1.  What is the difference between a ray and a line segment?
                  2.  How many rectangles are there in this figure?
                  3.  Name the solid that has no edge.


                  4.  How many triangles are there in this figure?






              Mathematics-3                                                                                         133
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