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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_06
              \\November 23, 2023 10:09 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74






                      Encapsulate
                  math
                                                           geOmetry


                   Basic geometric Shapes                   Angles                              triangle

                 Point:     A                                   X                   types of triangles     A
                 Line, ray and Line
                 Segment                              Vertex  Arm
                          Line                              Angle                                      B         C
                                                         O     Arm   Y
                           Ray                                                           By Side       By Angle
                                                62°         90°         135°              Equilateral Triangle   Acute Triangle
                                                                                          has three equal sides
                                                                                                          has three angles < 90°
                                              Acute angle   Right angle  Obtuse angle
                      Line Segment                                                        Isosceles Triangle   Right Triangle
                                                             240°                         has two equal sides  has one angle = 90°
                     A         B                   180°     Reflex angle   360°           Scalene Triangle   Obtuse Triangle
                                               Straight angle         Complete angle      has no equal sides  has one angle > 90°
                  Intersecting lines, parallel        measuring an Angles                      Circle and its Parts
                 lines and perpendicular lines
                 Intersecting
                 lines                                  60  70  80  90 90  100  110 60 120             Radius
                                                               80
                                                                 70
                                                       50
                                                      40 140 130 120 110 100  50 130  140  A
                 Perpendicular                       30  150         40  30 150
                 Lines                              20  160            20  160                          Diameter
                                                   10  170             10  170
                                                    180
                                                   0                    0  180
                                                             B             C                        Chord
                 Parallel Lines                       Measuring ∠ABC
                                                          drawing an Angles

                                                                             70
                                                70
                                             140 130 120 110 100 80  90 90  100  70 110  60 120 50 130  140 130 120 110 100 80  90 90  100  70 110  60 120 50 130  C
                                                                                  80
                                                     80
                                                                           60
                                               60
                                                                          50
                                             50
                                            40            40 140         40            40 140             C
                                           30  150         30 150       30  150         30 150
                   A          B            20  160          20 160     20  160           20  160         40°
                                          10  170            10  170   10  170           10  170
                                          0  180             0  180    0  180            0  180       A      B
                                                   A            B               A            B
                     Mental Maths
                 measure  the following angles and  write  their names in  ascending  order
                 according to their measurements.                                     S
                                                             A                                           D
                                                                            P      T        R

                                                         B       C   Q        R    U           S      T    E      F



                     Brain Sizzlers
                 1.   If there are 48 spokes in a bicycle wheel,  then  what angle  will  formed
                     between two consecutive spokes?
                 2.  When the hour hand  of  a clock  moves from 12 to  3 and  3 to  9, how many right
                     angles does the hour hand of the clock move?


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