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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\12_Chapter_9\Chapter_9
                 \ 06-Jan-2025  Surendra Prajapati   Proof-7       Reader’s Sign _______________________ Date __________





                One day Abhay’s father forgot to take an important paper from
                his house to office. He asked Abhay to drop that paper to his                 Think and Answer
                office. Which of these maps will be useful in guiding Abhay to            Observe the map, and identify
                his father’s office?                                                      what information it is giving.
                In the map shown in Fig. (a), it will take a lot of time for Abhay                           N
                to find his father’s office as it does not give any information                          W     E
                about the distance and the landmarks. However, the map given                                 S
                in Fig. (b) shows the actual distance and landmarks alongside
                the road. Using these landmarks, Abhay will easily know when
                to turn left and when to turn right on his way to his father’s
                office. Surely, such a map is more useful in locating a place.
                Some important points related to the map are:
                   • A map uses different symbols for different landmarks.

                   • A map shows the correct directions of a location. N-S
                   direction is shown by a pointer and the arrow of the pointer in a map always indicates North.
                   • A map represents everything proportional to their actual size.

                   • A particular scale is used to draw a map so that the lengths drawn on the map are proportional
                   with respect to the size of the original figures.
                   •  A good map must show the location of a particular object/place in relation to other objects/places.
                   •  The map must indicate directions like North and South.

                Use of Scale

                We know that the distance between two places on a map is
                proportional to actual distance between these places. This is done                Remember
                by using the concept of scale.                                               A scale can vary from map
                Suppose that the actual distance between two places A and B is               to map but within a map, the
                                                                                             scale is kept constant.
                10 km. Since, 10 km cannot be displayed on a map, so the distance            When we need to show a
                can be scaled as follows: 1 cm = 10 km or 1 mm = 1 km. For the map,          larger place on a small map,
                we can either choose 1 cm or 1 mm to represent 1 km or 10 km and             then 1 cm or 1 mm is used to
                so on. These assumptions are called the scale for that map.                  represent larger distances.
                Example 1: Read the map of the given society and answer the
                following questions.
























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