Obj: SWBAT identify and classify quadrilaterals and their properties

Quadrilaterals Quadrilaterals: Have exactly 4 sides The sum of the interior angles of all quadrilaterals is 360º WARNING: Do not assume any additional properties for a quadrilateral unless you are given additional information.

Kite Kite: 2 pairs of adjacent sides congruent NO opposite sides congruent Diagonals are perpendicular

Kite + Algebra Example Solve for x and y. Before you start, think about: What are the properties of a kite? What should you solve for 1st?

Trapezoids Trapezoid: ONLY 1 set of parallel sides Isosceles Trapezoid: Base angles congruent Legs congruent

Isosceles Trapezoid + Algebra Example Solve for the value of x in the isosceles trapezoid. Before you start, think about: What are the properties of an isosceles trapezoid? What sides can you set equal?

Parallelograms Parallelogram: - is a quadrilateral with both pairs of opposite sides parallel and congruent Solve for the value of x in the parallelogram. Before you start, think about: What are the properties of a parallelogram? What sides can you set equal?

Rectangles Rectangle: 4 right angles All of the properties of the parallelogram PLUS: 4 right angles Congruent diagonals

Rhombus Rhombus All of the properties of the parallelogram PLUS: - 4 congruent sides - diagonals bisect angles - diagonals perpendicular

Square Square Has all of the properties of the parallelogram AND the rectangle AND the rhombus! 4 right angles 4 congruent sides

Trapezoid

Trapezoid

Parallelograms Parallelogram: - 2 sets of parallel sides - 2 sets of congruent sides - opposite angles congruent - same-side interior angles supplementary - diagonals bisect each other - diagonals form 2 congruent triangles

Trapezoids Trapezoid: ONLY 1 set of parallel sides Isosceles Trapezoid: Base angles congruent Legs congruent Diagonals congruent Opposite angles supplementary