Page 339 - Math_Genius_V1.0_C7_Flipbook
P. 339

D:\Surender Prajapati\CBSE_ICSE_Book_New\CBSE\Grade-7\Math_Genius-7\Open_File\15_Chapter\15_Chapter
               \ 15-Nov-2024                      Surender Prajapati   Proof-5             Reader’s Sign _______________________ Date __________






                  3.   Place a set square with one of its edges        4.  Slide the set square along the edge of the
                     along the already aligned edge of the ruler          ruler until its right-angled corner coincides
                     such that the right-angled corner is in              with O.
                     contact with the ruler.   13 12 11                                                       13 12 11






                                                                                                              10
                                               10
                                               9
                                                                                                              9
                                               8
                                                                                                              7
                                               7
                                                                                                              6
                                               6
                                               5
                                                                                                              5
                                                                                                              4
                                               4
                                                                                                              3
                                               3
                                                                                                              2
                                               2
                                                         O                                                    8  O
                                               1
                                                                                                              1
                                                                l                                                     l
                                               1 2 3 4 5 6 7 8 9 10 11 12 13
                                                                                                              1 2 3 4 5 6 7 8 9 10 11 12 13
                     1  2  3  4  5  6  7  8  9  10  11  12  13  14  15     1  2  3  4  5  6  7  8  9  10  11  12  13  14  15
                                                             cm                                                    cm
                   inches  1     2       3              5                inches  1    2       3              5


                  5.  Hold the set square firmly in this position. Draw  OX along the edge of the set square.


                      Hence,OX  ⊥ l.
                                                                                    X
                                                                                    O    l
                Construction of a Perpendicular to a Line l Through a Point Lying Outside it
                Steps of construction:
                  1.   Let us take a line l and a point P outside the line from which a perpendicular is to be drawn
                     on line l.
                                                                              P

                                                                                         l
                  2.   Place a set square just below the line l in       3.   Place the ruler across the line l in such
                     such a way that one of the sides containing            a way that it touches the side of the set
                     the right angle touches the line.                      square opposite the right angle.

                                                        P                                                P

                                                                  l                                                 l
                               A         1 2 3 4 5 6 7 8 9 10 11 12 13  B     A        1 2 3 4 5 6 7 8 9 10 11 12 13  cm 15  B
                                         1
                                                                                       1
                                         2                                                                14
                                                                                       2
                                         3                                                               13
                                                                                       3
                                         4                                                             12  5
                                                                                       4
                                         5
                                                                                       5             11
                                         6
                                                                                       6            10
                                         7
                                                                                       7          9
                                         8
                                                                                       8        8
                                         9
                                                                                       9
                                         10                                            10      7  3
                                         13 12 11                                      13 12 11  5  2  6
                                                                                        3  4
                                                                                      2  1
                                                                                    1
                                                                                    inches
                                                                  337               Construction of Basic Geometrical Shapes
   334   335   336   337   338   339   340   341   342   343   344