LEQ: How do we classify and use properties of quadrilaterals?

 A quadrilateral is a 4-sided polygon.

 “a quadrilateral with 2 pairs of congruent adjacent sides and no congruent opposite sides.”  No parallel sides

 “a quadrilateral with exactly one pair of parallel sides.”  Box #4: “Isosceles trapezoid” ◦ Trapezoid who’s nonparallel opposite sides are congruent.

 “a quadrilateral with exactly 2 pairs of opposite parallel sides.  Why would the definition of trapezoid say “exactly one” pair of parallel opposite sides?

 A parallelogram with a right angle.  Book definition “4 right angles.” Why don’t we need to say all four angles are 90 degrees?

 A parallelogram with 4 congruent sides.

 A parallelogram with 4 congruent sides and a right angle.  Book defn. “4 right angles”

 “most precise”-means “most specific” aka lowest possible place on the chart.  Ex. A.) What is the most specific name for the figure below?B.) list all names that apply  Keep in mind: you may have to use coordinate plane to identify most precise name.

LEQ: What are the properties of parallelograms?

 Opposite sides are congruent  Opposite angles are congruent  The diagonals of a parallelogram bisect each other

Why should the opposite sides of a parallelogram be congruent? In the triangles below, prove AC=DB and AD=BC StatementsReasons 1.) m<1=m<21.) Alt. int. angles 3.) Reflexive3.) AB=AB 2.) “ “ 2.) m<3=m<4 4.)  ABC  BAD4.) ASA 5.) AC=DB5.) CPCTC 6.) “ “6.) AD=BC 1 D C B A 4 3 2

 In the figure at the right, DH || CG, BF || AE, AB = BC = CD = 2 and EF = 2.5. Find EH. A FB HD E G C