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!