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Understanding Trapezoids and Kites in Geometry

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Explore properties of trapezoids and kites, including angles, diagonals, and side relationships, through notes, class work, and homework. Practice quiz review and check homework solutions to solidify understanding.

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Understanding Trapezoids and Kites in Geometry

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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. 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

  5. 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

  6. 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)

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

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

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

  10. Trapezoid Midsegment Theorem TP is the midsegment or median

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

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

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

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

  15. Class work Worksheet

  16. Home work Review Sheet

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