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
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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
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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°°
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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
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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
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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
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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°
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Is every square a Is every square a rectangle?rectangle?
YES!YES!
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Is every Is every rectangle a rectangle a
square?square?
NO!NO!
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Is a square a Is a square a rhombus?rhombus?
YES!YES!
•All sides are equalAll sides are equal
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Is every square a Is every square a rhombus?rhombus?
YES!YES!
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Is every rhombus Is every rhombus a square?a square?
NO!NO!
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SPECIAL PROPERTIES OF A RHOMBUSSPECIAL PROPERTIES OF A RHOMBUS
Diagonals of a rhombus are perpendicular
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SPECIAL PROPERTIES OF A RHOMBUSSPECIAL PROPERTIES OF A RHOMBUS
Diagonals of a rhombus bisect the angles
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ClassworkClassworkWorksheet
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