# Lines And Angles (Mathematics and Geometry) PPT

Document Sample

```					                   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°

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 465 posted: 6/23/2012 language: English pages: 10