Page 260 - ICSE Math 6
P. 260

FUNDAMENTAL CONCEPTS OF GEOMETRY


                                    Types of Boundary of                 Point
                                       Closed Figures
                                                                         A point is a mark of position represented by a dot.
                            Curvillinear               Linear                 Collinear Points
                          A boundary having          A boundary
                             only curved           having only line           Three or more points lying on the same line.
                                lines.                segments.




                         Line
                         A collection of points along an endless straight path.                 Line Segment

                                                                                     Part of a line from one fixed point to the
                         Parallel Lines
                                                                                                   other.
                         Lines which do not meet even when extended indefinitely.

                         Intersecting Lines
                         Two lines having a point in common.

                         Perpendicular Lines                                                        Ray
                         Two intersecting lines meeting at an angle of 90°.
                                                                                      Part of a line with a fixed end point and
                                                                                        moving endlessly in one direction.
                         Concurrent Lines
                         Three or more intersecting lines.




                           Open Figures                                       Closed Figures
                           Having different beginning and end points.         Having the same beginning and end points.





                                               Incidence Properties

                                                  Only one line passes through two distinct points in a
                                                  plane.
                                                  Two different  lines  in  a  plane  are  either  parallel  or
                                                  intersect at exactly one point.





                                            Interior of a Closed Curve   Exterior of a Closed Curve
                                            Set of all points lying inside   Set of all points lying outside
                                                   the curve.                   the curve.


                                           Boundary of a Closed Curve    Region of a Closed Curve
                                            Set of all points lying on the   Set of all points lying inside
                                                     curve.                  and on the curve.


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