Warmup True or false all rhombi are squares
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.
Box #2: “Kite” � “a quadrilateral with 2 pairs of congruent adjacent sides and no congruent opposite sides. ” � No parallel sides
Box #3: “Trapezoid” � “a quadrilateral with exactly one pair of parallel sides. ” � Box #4: “Isosceles trapezoid” ◦ Trapezoid who’s nonparallel opposite sides are congruent.
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?
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?
Box #7: “Rhombus” �A parallelogram with 4 congruent sides.
Box #8: Square �A parallelogram with 4 congruent sides and a right angle. � Book defn. “ 4 right angles”
“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.
6. 2 Properties of Parallelograms LEQ: What are the properties of parallelograms?
3 Theorems � Opposite sides are congruent � Opposite angles are congruent � The diagonals of a parallelogram bisect each other
Thm. 6. 1 Why should the opposite sides of a parallelogram be congruent? In the triangles below, prove AC=DB and AD=BC Statements Reasons 1. ) m<1=m<2 1. ) Alt. int. angles 2. ) m<3=m<4 2. ) “ “ 3. ) AB=AB 3. ) Reflexive 4. ) ABC BAD 4. ) ASA 5. ) AC=DB 5. ) CPCTC 6. ) AD=BC 6. ) “ “ A 3 D C 1 2 4 B
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 D G H
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