=Quadrilaterals

Justine Amrowski

Jacob HilleyTony Politz

QuadrilateralsA quadrilateral is any 4 sided polygon

There are 6 different quadrilaterals Square Rectangle Parallelogram TrapezoidRhombus Kite.

The internal angles of all quadrilaterals add to give 360o

All Types of QuadrilateralsPolygons

Quadrilaterals

Parallelograms

Kites Trapezoids

Rectangles

Rhombi

IsoscelesTrapezoid

s

Squares

Parallelograms

Parallelograms• A quadrilateral with parallel opposite sides.

• It is the "parent" of some other quadrilaterals, which are obtained by adding restrictions of various kinds.(http://www.mathopenref.com/parallelogram.html)

ParallelogramsAre quadrilaterals with the following

properties:Opposite side are parallel.Opposite angles are congruent.Diagonals bisect each other.

Rectangles1. Is a quadrilateral with four right

angles.2. Both pairs of opposite angles are congruent.3. A rectangle has all properties of all

parallelogram.4. Right angles make a rectangle a rigid figure.5. The diagonals are also congruent.6.

RectanglesProperties

Opposite sides are parallel and congruent.The diagonals bisect each other.The diagonals are congruent.

RhombusA special kind of square with all four sides

congruent.All properties of a parallelogram can be

applied to a rhombi.The diagonals of a rhombus are

perpendicular.

RhombusProperties

A rhombus has all the properties of a parallelogram.All sides are congruent.Diagonals are perpendicular.Diagonals bisect the angles of the rhombus.

SquaresIf a quadrilateral is both a rhombus and a rectangle it’s

a square.All properties of parallelograms and rectangles can be

applied.All sides of a square have the same length. The distance from one corner of a square to the

opposite corner is sometimes called the diagonal.

SquaresProperties

A square has all the properties of a parallelogramA square has all properties of a rectangle.A square has all the properties of a rhombus.

TrapezoidsA quadrilateral with exactly one pair of parallel sides.The parallel sides are called bases.The base angles are formed by a base and one of the

legs.The nonparallel sides are called legs.

TrapezoidsProperties

Four sides.At least one pair of opposite sides are parallel.Angles between pairs of parallel sides are

supplementary.

Isosceles trapezoidThe base angles of an isosceles trapezoid are

congruent.The diagonals of an isosceles trapezoid are congruent. The defining trait of this special type of trapezoid is

that the two non-parallel sides.http://www.mathwarehouse.com/geometry/quadrilatera

ls/isosceles-trapezoid.phpIf the legs of a trapezoid are congruent then they are a

isosceles trapezoid.

Isosceles trapezoidProperties

An isosceles trapezoid is a trapezoid with congruent legs.

A trapezoid is isosceles if and only if the base angles are congruent.

A trapezoid is isosceles if and only if the diagonals are congruent.

If a trapezoid is isosceles, the opposite angles are supplementary.

Kites A quadrilateral with two distinct pairs of equal

adjacent sides.(http://www.mathopenref.com/kite.html)A kite is a member of the quadrilateral family.The pairs cannot have a side in common.Each pair must share a common vertex and each pair

must be distinct.(http://www.mathopenref.com/kite.html)

KitesProperties

Diagonals intersect at right angles.Angles between unequal sides are equal.The area of a kite can be calculated in various ways.The distance around the kite. The sum of its sides.A kite can become a rhombus.

In the special case where all 4 sides are the same length, the kite satisfies the definition of a rhombus.

A rhombus in turn can become a square if its interior angles are 90 degrees .

Adjust the kite above and try to create a square. (http://www.mathopenref.com/kite.html)

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