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Quadrilaterals
QuadrilateralsQuadrilaterals are any polygons which have
four sides.
How are you at classifying things?Organize the following words in tree shaped
organizerDog, Mammal, Cat, German Shepherd,
Animal, Reptile Animal
Mammal
Reptile
DogCat
German Shepherd
This arrangement puts topics in order from large categories to smaller ones.
RectanglesRectangles are parallelograms with four right
angles.They are EQUIANGULAR
RhombusA Rhombus is a parallelogram with 4
congruent sides.They are EQUILATERAL
Quadrilateral Family TreeOrganize these into a family tree. quadrilateral, parallelogram, rectangle,
rhombus.
quadrilateral
rectangle
rhombus
parallelogram
Properties of a Rectangle:1) A rectangle has all the properties of a parallelogram.2) A rectangle contains 4 right angles3) Diagonals of a rectangle are ≅.
Properties of a Rhombus:1) A rhombus has all properties of a parallelogram2) A rhombus is equilateral3) Diagonals are perpendicular to each other.4) Diagonals bisect its angles.
Quadrilateral Q’s – True or FalseEvery rhombus is a parallelogram.
TrueEvery parallelogram is a rectangle.
FalseThe diagonals of a rhombus are congruent.
FalseA quadrilateral with one right angle is a rectangle.
FalseIf two consecutive sides of a parallelogram are
congruent, then it must be rhombus.True
Tell whether the conclusion follows from the given premises.In a parallelogram, the diagonals bisect each
other.A rectangle is a parallelogram.Conclusion: In a rectangle, the diagonals bisect
each other.
VALID
Tell whether the conclusion follows from the given premises.In a rectangle, the diagonals are congruent.A rectangle is a parallelogram.Conclusion: In a parallelogram, the diagonals
are congruent.
INVALID
Tell whether the conclusion follows from the given premises.In a rhombus, diagonals are perpendicular to
each other.A rhombus is a parallelogram.Conclusion: In a parallelogram, diagonals are
perpendicular to each other.
INVALID
Quadrilateral Family Tree
quadrilateral
rectangle
rhombus
parallelogram
square
SquaresSquares are parallelograms with 4 congruent
sides and 4 rights angles.