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.