Quadrilaterals Quadrilaterals are any polygons which have four sides.

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Presentation transcript:

Quadrilaterals Quadrilaterals are any polygons which have four sides.

How are you at classifying things? Organize the following words in tree shaped organizer Dog, Mammal, Cat, German Shepherd, Animal, Reptile Animal MammalReptile DogCat German Shepherd This arrangement puts topics in order from large categories to smaller ones.

Rectangles Rectangles are parallelograms with four right angles. They are EQUIANGULAR

Rhombus A Rhombus is a parallelogram with 4 congruent sides. They are EQUILATERAL

Quadrilateral Family Tree Organize these into a family tree. quadrilateral, parallelogram, rectangle, rhombus. quadrilateral rectanglerhombus parallelogram

Properties of a Rectangle: 1) A rectangle has all the properties of a parallelogram. 2) A rectangle contains 4 right angles 3) Diagonals of a rectangle are ≅.

Properties of a Rhombus: 1) A rhombus has all properties of a parallelogram 2) A rhombus is equilateral 3) Diagonals are perpendicular to each other. 4) Diagonals bisect its angles.

Quadrilateral Q’s – True or False Every rhombus is a parallelogram. True Every parallelogram is a rectangle. False The diagonals of a rhombus are congruent. False A quadrilateral with one right angle is a rectangle. False If 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 rectanglerhombus parallelogram square

Squares Squares are parallelograms with 4 congruent sides and 4 rights angles.