Lesson: Special Parallelograms E
There are three special parallelograms
Rhombus
There are three special parallelograms
Rhombus
There are three special parallelograms
Rectangle
Rhombus
There are three special parallelograms
Rectangle
Square
Rhombus
There are three special parallelograms
A rhombus is a parallelogram with congruent sides
Rectangle
Square
Rhombus
There are three special parallelograms
A rhombus is a parallelogram with congruent sides
Rectangle
Square
Rhombus
A rectangle is a parallelogram with congruent angles
There are three special parallelograms
Rectangle
Square
Rhombus
A rectangle is a parallelogram with congruent angles
There are three special parallelograms
Rectangle
Square
A square is a parallelogram with both congruent sides
Rhombus
There are three special parallelograms
and congruent angles
Rectangle
Square
A square is a parallelogram with both congruent sides
Rhombus
There are three special parallelograms
and congruent angles
Rectangle
Square
Rectangle
?
Square
?
Rhombus
?
Square
?
Rectangle
?
Rhombus
?
has congruent sides AND angles
has ONLY congruent angles
has ONLY congruent sides
Each of the special parallelograms also have
Each of the special parallelograms also have
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
which means all the parts are congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
which means all the parts are congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
which means all the parts are congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
which means all the parts are congruent
special properties.
Rectangles not only have congruent angles
Each of the special parallelograms also have
but the diagonals are also congruent
which means all the parts are congruent
special properties.
x
y
y =
x =
O
O
Rectangle
n =
m =
O
O
m
n
y =
x =
5
Rectangle
x
z =
z
y
A rhombus has special properties as well
A rhombus has special properties as well
Not only are the sides all congruent
A rhombus has special properties as well
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
90
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
90
90
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
90
90
90
Not only are the sides all congruent
A rhombus has special properties as well
but the diagonals bisect the angles
and the diagonals are perpendicular
90
90
90
90
11
y
z
y =
z =
x =
x
rhombus
ABCD is a
x
60
y
z
y =
z =
x =
rhombus
ABCD is a
z
x
y
y =
z =
x =
rhombus
ABCD is a
A square is BOTH a rhombus
A square is BOTH a rhombus
AND a rectangle
A square is BOTH a rhombus
AND a rectangle
so ALL the special properties of both
A square is BOTH a rhombus
AND a rectangle
so ALL the special properties of both
a rectangle and rhombus
A square is BOTH a rhombus
AND a rectangle
so ALL the special properties of both
a rectangle and rhombus
apply to a square.
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