There are many different types of
quadrilaterals. We identify
quadrilaterals using their sides and
angles.
Side
Angle
All polygons are made up of line segments
and angles. The line segments that create
quadrilaterals will be parallel,
perpendicular, OR intersecting.
The adjacent sides of
this quadrilateral
are perpendicular.
The opposite sides
of this quadrilateral
are parallel.
The adjacent sides of
this quadrilateral
are intersecting.
The angles that make up polygons will be
right angles, acute angles, or obtuse
angles.
The angle that makes
up this vertex of this
quadrilateral is acute.
The angle that
makes up the vertex
of this quadrilateral
is obtuse.
The angle that makes
up this vertex of this
quadrilateral is right.
A square is a quadrilateral that has four
equal sides and four right angles.
This square has four right angles
and all four sides are congruent
(the same length). How many
pairs or sets of parallel sides do
you see?
A rectangle is a quadrilateral that has two
pairs of parallel sides that are equal and
four right angles.
This rectangle has four right angles and two pairs of
parallel sides that are congruent. If all four sides were
equal, would this shape still be a rectangle?
A rhombus is a quadrilateral that has four
equal sides and two pairs of parallel sides.
This rhombus has four
congruent sides and two
pairs of parallel sides.
Can a square be a
rhombus?
A trapezoid is a quadrilateral that has one
pair of parallel sides.
This trapezoid has one pair
of parallel sides. Can you
identify which two sides are
parallel? Do trapezoids have
to have sides that are
congruent?
A parallelogram is a quadrilateral that has
two pair of parallel sides.
This parallelogram has two pairs of parallel
sides. Can you draw a parallelogram that looks
different than this one?
With your newly found knowledge, you
will be able to identify quadrilaterals
everywhere! Try it out on these!