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 anGLe          2.  Name the arms, vertex and the angle so formed in each of the following figures.

 When two rays or straight lines meet or intersect at a point, they form an angle.   Also classify the angle.
                    (a)     O                       (b)                              (c)
 The rays forming the angle are called the arms of the angle.  A                            P
                                                                       C
 The common point is called the vertex of the angle.   A
 Arm                     A         B                           B                                     Q
 In the given figure, OA and OB are arms of the angle AOB. O is                                               R

 the  vertex of the  angle AOB. The vertex of the  angle  is  always   Angle
 written in the middle.  O  Arm  B  oPen anD cLoseD fiGures
 Vertex
 Take an A4 sheet and fold it in half horizontally and mark the crease.   Right   Figures which have different

 Then, fold the sheet in half vertically and mark the crease. Unfold the   Angle  starting and end points are
 sheet and observe carefully.  called open figures. Look at

 We observe that both the creases intersect each other at a point and     the given figures.

 form an angle called a Right Angle.  These all are open figures.

 An angle less than a right is   Right angle  An angle more than a right   Figures in which starting and end
 angle an Acute angle.  angle is an Obtuse angle.  points coincide with each other are

 D  A  P      called closed figures. Look at the
              given figures.

 Acute angle  Right angle  Obtuse angle  These are closed figures.
 E  F  B  C  Q  R
              The closed figures or shapes
 Also, the creases intersecting at a right angle represent perpendicular lines.  which do not cross themselves
              at any point are called simple
 Think Tank  Critical Thinking  closed figures. Look at the given figures.
   1. Where do you see angles around you?
   2. I run side by side with my twin on two lines and never meet, no matter how far we go. What   These are simple closed figures.
 kind of lines are we running on?
   3. When I meet another line, we form a perfect ‘L’. What are we called?  PoLyGons


              Simple  closed  figures made  up  of only line segments  are called  polygons.  Look  at
 Practice time 7B  the given figures.


   1.  Identify parallel, perpendicular and intersecting lines in the following figures.



 (a)     (b)     (c)     These are polygons.

              types of Polygons


 (d)     (e)     (f)     A polygon is made up of three or more line segments called  sides. A polygon is

              identified as per the number of sides it has.

              Mathematics-4                                                                                         135
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