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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





                Square                                              Circle

                  ABCD is a square.                                  A circle is a closed plane figure.
                  It has 4 sides: AB,         A           D          It is made up of only one
                  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 fixed point inside the circle is
                  All sides of a square                               called the centre of the circle.

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

                                                                                   Be Aware
                                                              A square is a rectangle but a rectangle is not a
                      Fast Check
                                                              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 breadth of a square are equal, that
                                                              is, 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, a diagonal is a line segment that joins two vertices of a shape that             B               C
              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                                                                                Experiential Learning
                Read the instructions and join the dots to make the figures.
                  Join 8 dots to make a square and colour it yellow.

                  Join 10 dots to make a rectangle and colour it red.
                  Join 9 dots to make a triangle and colour it blue.
                  1.  Now, draw the diagonals in each shape.
                  2.  In which figure are you unable to draw the diagonal?





              Mathematics-3                                                                                         125
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