Diagonals of a Polygon Video Lecture | Mathematics (Maths) Class 6

he'll open this video on understanding
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so as my discuss diagonal of origin is
that line segment which connect two
non-consecutive vertices of the polygon
Souter the most important capture
non-consecutive vertical let us take
examples of some polygon so this is a
polygon first tell me if this is the
polygon or not let's look at the
criteria it is a closed curve yes it is
a simple curl yes it is made up of only
line segments yet it is made up of five
line segments so this is the polygon now
in this polygon which are the vertices 1
2 3 4 5 to be verifying vertiginous
maintainer ABCD so for a which are the
adjacent vertices or consecutive bird
isn't that mean to the vertices which
line side by side that means for those
two vertices there will be a common or a
common sight for example the next-door
neighbor's for vertex a are E and B
because E and a are consecutive
similarly a and E are also contributive
so the contributed vertices for a are D
and D respectively so which are the
non-quantitative vertices for a a and T
are non-quantitative vertical if you
join them you get a diagonal similarly B
and D and all quantitative vertices you
join then you get a diagonal B and we
are also non consecutive vertices you
join them you get diamond E and C they
are also non complicated you joined
annuity guidance so in this fashion you
can draw multiple diagonals for polygons
now how many diagonals you can draw that
changes depending on what is the polygon
so add the number of sides in the
polygon increases the number of possible
diagonals also increase now let us look
at these what isn't so these are the
polygons with four sides so therefore
how many diagonals we can draw created
I spent this time you will see that you
can throw a lesser number of diagonals
here you will also have a possibility of
this diagonal okay so here this is one
possibility and this is another
possibility so there are only two
possible diagonals in this case you
cannot draw more than two similarly here
also this is one possible diagonal this
is another possible diagonal you cannot
draw more than G now you can climb
drawing diagonals for all the these
polygons so they are all polygons with
multiple number of sides so try to draw
diagonals for all the stems that will
not only help you to practice but also
help you in better understanding of
diagonals
now let us talk about regular and keep
taking the polygon so when we talk about
volitans
there are two categories in regular
polygons there all sides and all angles
are equal so can you tell me an example
of a regular polygons which we have
discussed sometime back absolutely
equilateral triangle equilateral
triangle is an example of a regular
polygon why because when equilateral
triangle all the sides are equal all the
angles are also equal so this is an
example of regular polygons similarly
when you look at this polygon with five
signs such that the end of all the five
sides are equal and also the major of
all the pilot angles are also equal so
this is a regular pen you have one while
print that one because it has five cent
when family in sight here what is this
it is a polygon with four sides but all
the four sides are equal and all the
four angles are also equal and we call
this a square so we will learn about qer
Pentagon a little later but we were all
examples of regular polygon regular
means all sides equal all angles equal
so on the contrary is regular polygon
would mean that all types are not equal
all angles are not equal because this
triangle this is a right angle triangle
here just and it is 90 degree but these
two angles are acute angles that is less
than 90 degrees all angles not equal all
sides
not even you look at this Parliament
here all angles are equal all the angles
are equal to 90 degree but in this case
all sides are not equal so these
opposite sides are equal and these
opposite sides are equal but they're
just in sizes are not equal you look at
this one here all angles are not equal
so this is also an irregular polygon so
in order to be a regular polygon all
sides and all angles both should be
equal now let us look at the types of
polygons depending on the number of
sides present in them so a polygon with
three five settings accordingly made up
of three line segments is called a
triangle try means three the three
angles that is triangle a polygon with
four sides that is called a
quadrilateral the world quadrants
between four so that is quadrilateral
now there can be many different types of
quadrilateral again a polygon with five
sine Phi this is Delta so this is Center
burn while it is lipstick shades
thickness extra so this is hexagon body
can be seven sides will be ahead
stubborn text and seven so health care
is 725 extra and six similarly what
would be eight eight is Akhtar so this
would be octagon
so in a similar way you can name a
polygon depending on the number of sides
present in it thank you
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