6.6 Properties Of Special Parallelograms (2009)

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6.66.6Properties of Special Properties of Special

ParallelogramsParallelogramsNeed:Need:-Notes-Notes-Conjecture List-Conjecture List

What is a Parallelogram?What is a Parallelogram? Opposite sides are Opposite sides are

parallelparallel Opposite sides are Opposite sides are

congruentcongruent Opposite angles are Opposite angles are

equalequal Consecutive angles Consecutive angles

supplementarysupplementary Diagonals bisect Diagonals bisect

eachothereachother

What is a Rectangle?What is a Rectangle?

Rectangles are Rectangles are special special parallelogramsparallelograms Has all the properties Has all the properties

of a parallelogramof a parallelogram All angles are All angles are

congruentcongruent Each angle is 90Each angle is 90°°

What is a Rhombus?What is a Rhombus?

Rectangles are Rectangles are special special parallelogramsparallelograms Has all the properties Has all the properties

of a parallelogramof a parallelogram

Has four congruent Has four congruent sidessides

Sometimes called a Sometimes called a diamonddiamond

What is a Square?What is a Square? Squares are special Squares are special

parallelogramsparallelograms Has all the properties of Has all the properties of

a parallelograma parallelogram A square is a kind of A square is a kind of

rectanglerectangle Each angle is 90Each angle is 90°°

A square is also a A square is also a special rhombusspecial rhombus All sides are congruentAll sides are congruent

What is a Square?What is a Square? A square is an A square is an

equilateral rectangleequilateral rectangle

A square is an A square is an equiangular rhombusequiangular rhombus

A regular quadrilateralA regular quadrilateral

Is a square a Is a square a rectangle?rectangle?

YES!YES!•Opposite Sides ParallelOpposite Sides Parallel•Opposite Sides EqualOpposite Sides Equal•Each angle is 90°Each angle is 90°

Is every square a Is every square a rectangle?rectangle?

YES!YES!

Is every Is every rectangle a rectangle a

square?square?

NO!NO!

Is a square a Is a square a rhombus?rhombus?

YES!YES!

•All sides are equalAll sides are equal

Is every square a Is every square a rhombus?rhombus?

YES!YES!

Is every rhombus Is every rhombus a square?a square?

NO!NO!

SPECIAL PROPERTIES OF A RHOMBUSSPECIAL PROPERTIES OF A RHOMBUS

Diagonals of a rhombus are perpendicular

SPECIAL PROPERTIES OF A RHOMBUSSPECIAL PROPERTIES OF A RHOMBUS

Diagonals of a rhombus bisect the angles

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