Page 32 - Math_Genius_V1.0_C6_Flipbook
P. 32

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\02_Chapter_2\Chapter_2
             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________







                     Quick Check
                  1.  Identify the examples of a point, a line segment, a ray, and a plane in the following:
                    (a)  Beam of light from a lighthouse           (b)  A flat face of a box
                     (c)  The edge of a postcard                   (d)  The tip of a needle
                  2.  Complete the table.
                                  Line                       Line Segment                         Ray

                       (a) It has ............... end points.    (a) It has ............... end points.    (a) It has ............... end point.
                       (b) It has ............... length.    (b) It has ............... length.    (b) It has ............... length.
                       (c) It ............... be measured.    (c) It ............... be measured.    (c) It ............... be measured.

                       (d) A line AB is denoted by ........... .  (d) A line segment AB is denoted   (d) A ray AB is denoted by ................
                                                        by ............... .


            Example 3: In the given figure, identify:
                                                                                                 A                  B
                       (a)  The pair of parallel line segments.

                        (b)  The pair of perpendicular line segments.                                       O
                        (c)  The pair of intersecting line segments.

                       (d)  The set of concurrent line segments.                                 C                  D
            Solution: (a)  AB and CD are the pair of parallel line segments, i.e., AB || CD.
                        (b)  AB, AC; AC, CD are the pairs of perpendicular line segments, i.e., AB ⊥ AC and AC ⊥ CD.

                        (c)  AB and BC; BC and AD; AD and CD are the pairs of intersecting line segments.
                       (d)  AB, AC, AD; AC, BC and CD are the sets of concurrent line segments.

            Example 4: In the given figure, name the following.
                       (a)  All pairs of parallel lines.

                        (b)  Any three pairs of intersecting lines.                             D  G    A          l
                        (c)  Lines whose point of intersection is H.                          E    H     B

                       (d)  Any two sets of collinear points.                                                      m
                        (e)  Point of intersection of line n and line p.                     F     I       C       n
            Solution: (a)  l || m; m || n; n || l
                                                                                             q              p
                        (b)  l, p; l, q; l, r                          (c)  m and r                  r
                       (d)  Points D, G, A on line l and points G, H, I on line r

                        (e)  Point C.
                     Practice Time 2A




              1.  Which one of the following is a line segment?

                 (a)                     (b)                      (c)                      (d)




            Mathematics-6                                      30
   27   28   29   30   31   32   33   34   35   36   37