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ObjectivesTo identify any quadrilateral, by name, as
specifically as you can, based on its characteristics
Special QuadrilateralsThere are several special types of
quadrilaterals. They are classified based on their sides or
angles.
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
Quadrilateral Quadrilateral Family TreeFamily Tree
Kite
Right Trapezoid
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A quadrilateral is a polygon with 4
sides.Quadrilateral Quadrilateral Family TreeFamily Tree
Right Trapezoid
Quadrilaterala quadrilateral is a polygon with 4 sides.
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
Right Trapezoid
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A parallelogram is a quadrilateral with two pairs of parallel sides.
Parallelogram
Definition: a quadrilateral with two pairs of parallel sides
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A rhombus is a parallelogram that is
equilateral.
Rhombus Definition: a parallelogram with 4 congruent sides.
4 in.
4 in.
4 in.
4 in.
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
KiteRight Trapezoid
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A rectangle is a parallelogram that
is equiangular.
Rectangle Definition: a parallelogram with 4 congruent angles, all 90 degrees.
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
KiteRight Trapezoid
A square is a specific case of both a rhombus AND a
rectangle, equiangular and equilateral.
SquareDefinition: a regular parallelogram
An equilateral rectangleAn equiangular rhombus
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A trapezoid is a quadrilateral with
only one pair of parallel sides.
Right Trapezoid
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A trapezoid is a quadrilateral with
only one pair of parallel sides.
TrapezoidDefinition: a quadrilateral with exactly one pair of parallel sides.
trapezoids
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
An isosceles trapezoid is a
trapezoid with the legs congruent.
Right Trapezoid
Right Trapezoid
An isosceles trapezoid is a trapezoid with the legs
congruent.
A right trapezoid has one leg ┴ to
the // lines
a trapezoid with congruent legs. Legs are the non-parallel sides
Isosceles Trapezoid:
A trapezoid with parallel sides
perpendicular to one leg.
Right Trapezoid
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
Kite
An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.
Kite
2 in.
4 in.
4 in.
2 in.
Definition: A kite is a quadrilateral with 2 pairs of consecutive
congruent sides (adjacent congruent sides)
No sides are parallel!