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Lines And Angles (Mathematics and Geometry) PPT

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Lines And Angles (Mathematics and Geometry) PPT Powered By Docstoc
					                   Index
1)   Introduction
2)   Definitions
3)   Basic Terms
4)   Types Of Angles
        Introduction
•In our daily life we see different types
 of angles formed between the edges of
 plane surfaces. For making a similar
 kind of model using the plane surfaces,
 we need to have the knowledge of angles.
             Definitions
1. Line S e gm e nt~     T he pa rt of a line
   w ith tw o e nd points is ca lle d a
   line se gm e nt.
2. R a y~ A pa rt of a line w ith one
   e nd point is ca lle d a ra y .
3. C olline a r P oints~ If thre e or m ore
   points lie on the sa m e line , the y
   a re ca lle d colline a r points .
4. A rm s a nd V e rte x~ A n a ngle is
  form e d w he n tw o ra ys origina te from
  the sa m e e nd point. T he ra ys
  m a king a n a ngle a re ca lle d the
  A rm s of the a ngle a nd the e nd
  point is ca lle d the V e rte x .
               Basic Terms
1. If a ra y sta n d s o n a lin e , th e n th e
   s u m o f tw o a d ja c e n t a n g le s s o
   f or m e d is 180°.
2. If th e su m o f tw o a d ja c e n t a n g le s is
   180°, the n t h e n o n- c o m m o n ar m s of
   th e a n g le s fo rm a lin e .
3. If tw o lin e s in te rs e c t e a c h o th e r; th e n
   th e ve rtic a lly o p p o s ite a n g le s a re
   e q u a l.
4. If a tra n s v e rs a l in te rs e c ts tw o p a ra lle l
   lin e s , th e n e a c h p a ir o f
   c o rre s p o n d in g a n g le s is e q u a l.
• If a tra n s v e rs a l in te rs e c ts tw o lin e s
  s u c h th a t a p a ir o f c o rre s p o n d in g
  a n g le s is e q u a l, th e n th e tw o lin e s a re
  p a ra lle l to e a c h o th e r.
• If a tra n s v e rs a l in te rs e c ts tw o p a ra lle l
  lin e s , th e n e a c h p a ir o f a lte rn a te a n g le
  is e q u a l.
• If a tra n s v e rs a l in te rs e c ts tw o lin e s
  s u c h th a t a p a ir o f a lte rn a te in te rio r
  a n g le s is e q u a l, th e n th e tw o lin e s
  c a re p a ra lle l.
• If a tra n s v e rs a l in te rs e c ts tw o p a ra lle l
  lin e s th e n e a c h p a ir o f in te rio r a n g le s
• If a tra n s v e rs a l in te rs e c ts tw o lin e s
  s u c h th a t a p a ir o f in te rio r a n g le s o n
  th e s a m e s id e o f tra n s v e rs a l is
  s u p p le m e n ta ry th e n th e tw o lin e s
  a re p a ra lle l.
• L in e s w h ic h a re p a ra lle l to th e s a m e
  lin e a re p a ra lle l to e a c h o th e r.
• If a
            Types of Angles
• A c u te A n g le ~




• O b tu s e A n g le ~
3. Right Angle: A right angle is
   exactly equal to 90°.                   y

                                        Right angle: y=90°
4. Straight Angle: A Straight                       s
    angle is equal to 180°         straight angle: s=180°

5. Reflex Angle: A reflex angle
   is greater then 180° but less      T
    then 360°
                              Reflex angle: 180°<T<360°

				
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