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Exploring Trapezoids and Kites: Definitions, Properties, and Applications

In this lesson, we will cover essential concepts about trapezoids and kites, including their definitions and key properties. We will review quiz material to reinforce understanding, check homework, and work through practice problems. Topics include the Isosceles Trapezoid properties, the Trapezoid Midsegment Theorem, and characteristics of kites. Students will engage in class work and complete exercises designed to enhance their learning experience. Prepare to deepen your understanding of these geometric shapes!

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Exploring Trapezoids and Kites: Definitions, Properties, and Applications

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  1. Day 4 6-5 Trapezoids and Kites

  2. Agenda • Quiz Review • Quiz • Homework Check • Trapezoids and Kites Notes • Class Work • Homework

  3. Quiz Review • m<STU=38 2. m<TUR=132 3. VS= 96 4. m<SVT=58 5. m<STU=95 6. yes, opp sides cong. 7. Yes, both pair opp sides congruent. 8. No 9. yes, opp sides both ll and congruent 10. yes, diagonals bisect each other. Bonus:

  4. Quiz

  5. Homework Check • 12 2. 40 3. 41 4. 18 5. 52 6. 1=55, 2=55, 3=35, 4=35, 5=55, 6=55, 7=35, 8=70, 9=110, 10=70 PQ=10, QO=10, MO=20 7. 1=58, 2=32, 3=32, 4=58, 5=58, 6=32, 7=32, 8=90, 9=90, 10=90 ST = 23.5 8. 1=25, 2=25, 3=65, 4=65, 5=25, 6=25, 7=65, 8=65, 9=90, 10=90, 11=90, 12=90 9. 1-7=45, 9-12=90 10. rfg=90, 90, 90, for=45, 45, 45, fsg=90, 90, gfo=45, 45, ogf=90, 90

  6. 6-5 Trapezoids and Kites Trapezoid: Defn: a quad with 1 pair of parallel sides *Legs: the nonparallel sides Property: Consecutive angles along the legs are supplementary m<1 + m<4 = 180 m<2 + m<3 = 180

  7. Isosceles Trapezoid Defn: A trapezoid with legs. Properties: All Trapezoid properties Diagonals are (TA RP) Two pairs of base angles are (m<4 m<3 and m<1 m<2)

  8. Ex 1 a) If m<F = 130 Find: m<R=_____ m<G=_____ m<O=____

  9. b) If m<R=2x-10 and m<O =3x Find m<G.

  10. c) If FO = 2x+3 and GR=3x-1. Find x

  11. Trapezoid Midsegment Theorem TP is the midsegment or median

  12. Ex 1: OL = 28, RM = 20. Find CA

  13. Ex 2: CA= 8x, RM= 2x + 6, OL = 4x + 6. Find OL

  14. Kite: Defn: A Quad with 2 pairs of adjacent sides and no pairs of opp sides Property: Diagonals are Diagonals bisect their angles

  15. Ex 1: m<1 = 48 Find m< 2 = _______ m< 3 = _______ m< 4 = _______

  16. Class work Worksheet

  17. Home work Review Sheet

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