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A quadrilateral is a polygon that has 4
sides.
One way that you can classify
quadrilaterals is by the position of their
sides, side length, and angle measure.
A parallelogram is a quadrilateral where
opposite sides are parallel (hence, the
name) and congruent. This is a more
general term for a quadrilateral.
PARALLELOGRAM
The following shapes are all specifically
named parallelograms.
A rhombus is a quadrilateral with 4
congruent sides. A rhombus is a type of
parallelogram.
PARALLELOGRAM
RHOMBUS
Notice the similarities between the parallelogram and the rhombus.
Although a parallelogram may look very similar to a rhombus,
remember the key to being a rhombus is the congruent sides.
A rectangle is another type of
parallelogram. A rectangle is a
parallelogram that also incorporates 4
right angles.
PARALLELOGRAM
RECTANGLE
Although the rectangle shown may not look much like the
parallelogram, a rectangle is still a parallelogram. Remember that a
parallelogram only has to have opposite parallel and congruent sides.
A rectangle fits that description, so hence, it is a parallelogram.
A square is a very special quadrilateral,
since it incorporates the features of a
parallelogram, rhombus, and rectangle
all in one little shape. Notice the
similarities between the shapes.
RECTANGLE
PARALLELOGRAM
RHOMBUS
SQUARE
Is a square really a quadrilateral,
parallelogram, rhombus, and a
rectangle? Let’s find out!
A quadrilateral is a polygon with 4 sides.
Does a Square fit that description?
Yes, a square fits
that description!
And it has 4 sides…
A square is a polygon…
SQUARE
A parallelogram is a quadrilateral where
opposite sides are parallel and
congruent.
Does a Square fit that description?
Yes, a square fits
that description
And so are
perfectly.
these two
sides!
These two
opposite sides
are parallel and
congruent...
SQUARE
A rhombus is a quadrilateral with 4
congruent sides. A rhombus is a type of
parallelogram.
Does a Square fit that description?
And all the sides are
congruent…
Yes, a square fits
We already know that a
square is a
that description
parallelogram.
perfectly also.
SQUARE
A rectangle is a parallelogram that
incorporates 4 right angles.
Does a Square fit that description?
And all the angles are
right angles (90°)
Yes, a square fits
that description
We already know that a
perfectly also.square is a
parallelogram.
SQUARE
As we just saw, a square is indeed a…
• Quadrilateral
• Parallelogram
• Rhombus
• …and Rectangle…
ALL IN ONE!
But there are quadrilaterals that aren’t
parallelograms. Next, we’ll look at
those…
A trapezoid is a quadrilateral that has
ONLY 1 pair of parallel sides. Unlike the
other quadrilaterals, a trapezoid isn’t a
parallelogram. It’s just a trapezoid… and,
of course, a quadrilateral.
TRAPEZOID
A trapezium is quadrilateral with no pairs
of parallel sides.
A TYPE OF TRAPEZIUM
Identify this shape with all of its possible names.
A SQUARE…
…IS ALSO KNOWN AS A(N)...




Quadrilateral
Parallelogram
Rhombus
Rectangle
A PARALLELOGRAM…
…IS ALSO KNOWN AS A(N)...

Quadrilateral
A RHOMBUS…
…IS ALSO KNOWN AS A(N)...


Quadrilateral
Parallelogram
A TRAPEZIUM…
…IS ALSO KNOWN AS A(N)...

Quadrilateral
A RECTANGLE…
…IS ALSO KNOWN AS A(N)...


Quadrilateral
Parallelogram
A TRAPEZOID…
…IS ALSO KNOWN AS A(N)...

Quadrilateral
Identify this shape with its most specific name.
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Square
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Rectangle
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Rhombus
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Trapezoid
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Parallelogram
THIS SHAPE’S
MOST SPECIFIC NAME IS…

A Trapezium