## Quadrilaterals Shapes & Properties | Parallelogram | Trapezoid | Trapezium

[Music]

rectangles

squares trapezoids parallelograms

there are so many coordinations in the

math world

are you also confused about it i try to

learn it

and i want to share it with you so let's

go see it

so let's look at quadrilaterals now

so what are coordinate rules

any figure with four sides and four

angles

any figure with the total sum of

360 degrees for example

all four angles if all four angles are

90 degrees

and all lines could be straight

and not curved the lines can be tilted

like this

but it should not be curved

there are three families of

parallelogram number two transposium or

trapezoid

and number three kite these are how they

look like

so let's look at the first family which

is parallelogram

there are three members in the family of

parallelogram number one is rectangle

number two is rhombus and number

three is a square

and if you look at the rhombus it is

similar

to the diamond

next is the tramplezide or trampolium

family which has isosceles transport

which means that two of its angle our

angles are equal and the right trapezoid

which has two angles which are 90

degrees

next are

next is kite which has

a right kite the same two angles

have 90 degrees

now let's look at the properties of a

parallelogram and a trapezoid

so number one suck off all angles

for example angle a plus

angle b plus angle c plus d

is equal to 360 degrees

same goes for the trapezoid number two

is

number of parallel lines

so in a parallelogram

line a b is parallel

to line c d and

line ac is parallel to line b

b that's why there are two pairs

of parallel lines while in the trapezoid

trapezoid line

a b is parallel to line d c

but a d and b c cannot be parallel

because they will meet at a point that's

why

in a parallel i mean in a trapezoid

there is only one pair of parallel

lines so the third property

is opposite sides are the same in length

for example in the parallelogram

line a b is five centimeters

then line dc will also be five

centimeters

because they are opposite line if line a

d

is 3 centimeters line bc

will also be 3 centimeters

but for the trapezoid

all lines will be different for example

if a b

is five centimeters then

dc can be seven or eight

so that means that this

property is true for the parallelogram

and false for the trapezoid

so the next property is

opposite angles are the same

which means in the parallelogram

angle a is equal to

angle c and angle b is equal to angle d

for example if a is

50 degrees then c will also be 50.

if b then obviously b will be

130 degrees and d will also be 130

degrees

because as property 1 sum of all angles

should be 360 degrees

so that's why this property is true for

the parallelogram

and while for the trapezoid

all angles are different

like a can be if a is 50

then c is not 50 it can be

80 100 or something that's why this

property

is false for the trapezoid

so the fifth one is the sum of every

consecutive angle is

1 equal to 180 degrees

which is also supplementary for example

in this parallelogram angle a

and b are are consecutive and they are

also supplementary

because angle a is

obtuse and angle b is acute

that's why this property is true

for the parallelogram but for the

trapezoid you can see that

a and b are both obtuse

and if they are both obtuse they cannot

be 180 degrees

that's why this property is false

for the trapezoid so the last one is

the diagonals bisect each other

so in the parallelogram a d

are diagonals and b c are diagonals

and e is where they meet

so you can see that c

is the same as b

e and a e is the same

as e d so that's why

this property is true for the

parallelogram

but as you can see

ae is very smaller than ec

and be is also smaller than

ed that's why this property

is also false for the trapezoid

thank you guys that's all i have for

today

i hope you have learned something and

have understood these properties

we will come with more videos of shapes

and their properties

keep watching and bye