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Chapter 6.1: Classifying Quadrilaterals

Warmup : True or false: all rhombi are squares. Once warmup is completed, grab a note sheet and copy chart. Chapter 6.1: Classifying Quadrilaterals. LEQ: How do we classify and use properties of quadrilaterals?. Box #1: “Quadrilateral”. A quadrilateral is a 4-sided polygon.

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Chapter 6.1: Classifying Quadrilaterals

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  1. Warmup: True or false: all rhombi are squares. Once warmup is completed, grab a note sheet and copy chart.

  2. Chapter 6.1: Classifying Quadrilaterals LEQ: How do we classify and use properties of quadrilaterals?

  3. Box #1: “Quadrilateral” • A quadrilateral is a 4-sided polygon.

  4. Box #2: “Kite” • “a quadrilateral with 2 pairs of congruent adjacent sides and no congruent opposite sides.” • No parallel sides

  5. Box #3: “Trapezoid” • “a quadrilateral with exactly one pair of parallel sides.” • Box #4: “Isosceles trapezoid” • Trapezoid who’s nonparallel opposite sides are congruent.

  6. Box #5: “Parallelogram” • “a quadrilateral with exactly 2 pairs of opposite parallel sides. • Why would the definition of trapezoid say “exactly one” pair of parallel opposite sides?

  7. Box #6: “Rectangle” • A parallelogram with a right angle. • Book definition “4 right angles.” Why don’t we need to say all four angles are 90 degrees?

  8. Box #7: “Rhombus” • A parallelogram with 4 congruent sides.

  9. Box #8: Square • A parallelogram with 4 congruent sides and a right angle. • Book defn. “4 right angles”

  10. “most precise” vs. “all names that apply” • “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.

  11. 6.2 Properties of Parallelograms LEQ: What are the properties of parallelograms?

  12. 3 Theorems • Opposite sides are congruent • Opposite angles are congruent • The diagonals of a parallelogram bisect each other

  13. Thm. 6.1 Why should the opposite sides of a parallelogram be congruent? In the triangles below, prove AC=DB and AD=BC A C Statements Reasons 1 3 1.) m<1=m<2 1.) Alt. int. angles 2.) “ “ 2.) m<3=m<4 4 3.) AB=AB 3.) Reflexive 2 B D 4.)ABCBAD 4.) ASA 5.) AC=DB 5.) CPCTC 6.) AD=BC 6.) “ “

  14. Example • In the figure at the right, DH || CG, BF || AE, AB = BC = CD = 2 and EF = 2.5. Find EH. A E B F C G D H

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