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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_07
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                    Square                                              Circle

                      ABCD is a square.                                  A circle is a closed plane figure.
                      It also has 4 sides:        A           D          It is made up of only one
                      AB, BC, CD and DA.                         Side      curved line.                             O

                      It has 4 vertices:                      Vertex     It has no vertex or side.
                      A, B, C and D.               B          C           O, the point inside the
                      Each side of a                                      circle is called the centre of the

                      square is equal in length.                           circle.
                    Here, AB = BC = CD = DA.                              From the centre every point lying on
                                                                           the circle is at equal distance.

                                                                                           Note
                           Quick Check                            A square is a rectangle but a rectangle is not a
                                                                  square.
                         Name any 3 objects, which are            The longer side of the rectangle is called the length
                         circular in shape around you.            and the shorter side is called the breadth.
                         _____, ______, ______.                   The length and the breadth of a square are equal,
                                                                  i.e., the sides of a square are equal.
                  diaGonalS

                  Look at the given rectangle. Its vertices A and C are joined with a dotted  A                          D
                  line. Similarly, vertices B and D are also joined with a dotted line. Line
                  segments AC and BD are the diagonals of rectangle ABCD.

                  Thus, the diagonal is a line segment that joins two vertices of a shape                B               C

                  that are not next to each other.
                                        A               D                          P           S

                                       B    Rectangle   C                          Q   Square  R
                                    The diagonals AC and BD of a          The diagonals PR and QS of a square
                                    rectangle are equal in length.                are equal in length.

                       activity
                    Read the instructions given below and join the dots to make the figures.

                      A square joining only 8 dots and colour it yellow.
                      A rectangle joining only 10 dots and colour it red.
                      A triangle joining only 9 dots and colour it blue.

                      1.  Now, try to draw the diagonals in each of the above figures.
                      2.  In which figure are you unable to get the diagonal?

                  Mathematics-3                                                                                         125

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