Download QUADRILATERALS

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 Polygons
are many-sided figures
 With sides that are line segments
 Named according to the number of sides and
angles they have.
 Can be “regular” – all sides and all angles are
equal to each other
These figures are not polygons
These figures are polygons
3 sides
Triangle
4 sides
Quadrilateral
5 sides
Pentagon
6 sides
Hexagon
7 sides
Heptagon
8 sides
Octagon
9 sides
Nonagon
10 sides
Decagon
12 sides
n sides
Dodecagon
n-gon
4
 Two
lines are parallel if they are on the same
plane and never intersect.
 Plane- flat surface.
 Intersect – means never touch.
Parallel Lines
Not Parallel
A
QUADRILATERAL is a closed figure with
four sides and four angles.
 They are named based on their sides and
angles.
 Angle
1 + angle 2+ angle 3 + angle 4 = 360°
360°
A
QUADRILATERAL with opposite sides
parallel and opposite sides congruent
A


rectangle is
QUADRILATERAL – 4 sides
PARALLELOGRAM – opposite sides are parallel
 All
angles are right
A


square is a
QUADRILATERAL – 4 sides
PARALLELOGRAM – opposite sides are parallel
 All
sides are congruent
 All angles are right
A


rhombus is a
QUADRILATERAL – 4 sides
PARALLELOGRAM – opposite sides are parallel
 All
sides are congruent
 Opposite angles congruent
A

trapezoid is a
QUADRILATERAL – 4 sides
 Exactly
one pair of parallel sides
Parallel lines
A

kite is a
QUADRILATERAL – 4 sides
 With
no parallel sides
 2 pairs of adjacent congruent sides
4 in.
4 in.
2 in.
2 in.
Quadrilateral
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Quadrilateral
Quadrilaterals
2 pairs adjacent
congruent sides
2 pairs of adjacent
congruent lines
1 pair parallel sides
2 pairs of parallel
A quadrilateral simply
has 4 sides – no other
special requirements.
2 pairs parallel
lines sides
1 pair of parallel lines
Parallelogram
Trapezoid
Trapezoid
Parallelogram
4 congruent
4
right
A trapezoid has
A parallelogram
Kite
sides
angles
only
one
has
twosides
pairs of
4 congruent
sides pair4 of
right angles
non-parallel
are congruentsides.
parallel sides.
parallel
Kite
Rectangle
An kite is a quadrilateralRhombus
with
NO parallel sides but 2 pairs of
adjacent congruent sides.
Isosceles
Trapezoid
Rhombus
4 congruent
A rectangle has four
A rhombus
is
a
right angles.
sides and 4 right angles
parallelogram that has
four congruent sides.
Square
A square is a specific case of
both a rhombus AND
Squarea
rectangle, having four right
angles and 4 congruent sides.
Rectangle
Best Name:
Best Name:
Trapezoid
Best Name:
Best Name:
Square
This quadrilateral
is also:
• a rectangle
• a rhombus
• a parallelogram
Best Name:
Best Name:
Rhombus
This quadrilateral
is also:
• a parallelogram
Best Name:
Best Name:
Quadrilateral
Best Name:
Best Name:
Rectangle
This quadrilateral
is also:
• a parallelogram
Best Name:
Best Name:
Parallelogram
Best Name:
Best Name:
Trapezoid
Best Name:
Best Name:
Quadrilateral
Best Name:
Best Name:
Parallelogram
Best Name:
Best Name:
Trapezoid
Best Name:
Best Name:
Rectangle
This quadrilateral
is also:
• a parallelogram
Best Name:
Best Name:
Rhombus
This quadrilateral
is also:
• a parallelogram
Best Name:
Best Name:
Square
This quadrilateral
is also:
• a rectangle
• a rhombus
• a parallelogram
You
rock!