HHSM11GEMC_0606.indd 166 S M 1 1 G E Chapter 6 M C 5. 4. UseYour Vocabulary Vocabulary Builder 3. 2. 1. Underline word eachsentence. tocomplete thecorrect _

0 6 6-6 0 7,11,11 3.6,5,3.6 8,10 3,4,5 Main Idea: Definition: Related Words: trapezoid Review 6 . that youcircled into two Circle thefigure(s) than canbedividedinto two Cross outthefigure that isNOTa angles. base sides are called one pairofparallel sides. Cross outthelength(s)that canNOTbesidelengthsofan An equilateral isalsoa(n) triangle An i n d d Vocabulary

isosceles

1 6 6

A The parallel sidesofa (noun) triangle always triangle has two/three sides. congruent trapezoid base, leg

legs

Trapezoids andKites

TRAP . Thetwoanglesthat share abaseof ih zoyd ih isaquadrilateral exactly with trapezoids trapezoid trapezoid isosceles .

are called /right triangle. . 166

trapezoids

bases trapezoid isosceles . Thendivideeachfigure . Thenonparallel e leg leg

triangle. are called base angles trapezoid

base base

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1 6 7 11. (2) thelengthofmidsegment ishalf thesumoflengths ofthebases. (1) themidsegment isparallel tothebases, and is atrapezoid, then Theorem 6-21Trapezoid MidsegmentTheorem 10. 9. 8. 7. 6. Theorem 6-20 is congruent. Theorem 6-19 Got It? 17. 16. 15. 14. 13. 12. 12–16. thediagramUse attherightforExercises ring? trapezoids initssecond isosceles anglesofthecongruent base Problem 2 (1) If and 9tolabelthediagram at theright. Use Theorem 6-20andyouranswertoExercises 8 If If markscongruence onthetrapezoid at theright. Use Theorem 6-19andyouranswerstoExercise 6todraw then If h esrso h aeage fteioclstaeod r ad . and The measures ofthebaseanglesisoscelestrapezoids are four three two one trapezoids ineachwedge. wedge. Underlinethenumber ofisosceles Circle ineach thenumber ofisoscelestriangles d c b a CD 5 TRAP ABCD ABCD TRAP 5 5 5 MN 5 180 A fan has 15 angles meeting atthecenter. Afanhas15anglesmeeting Whatare themeasures ofthe 360 180 / 180 T

cm. isatrapezoid midsegment with isanisoscelestrapezoid bases with 6 isanisoscelestrapezoid and isanisoscelestrapezoid, then

2

4 2 > 2 2 Theorems 6-19,6-20,and6-21

If aquadrilateral isanisoscelestrapezoid, thenitsdiagonals are congruent. If aquadrilateral isanisoscelestrapezoid, theneachpairofbaseangles

FindingAngleMeasuresinIsoscelesTrapezoids

/ and 6 (2) 5 5 5 5

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P M HHSM11GEMC_0606.indd 168 S M 1 1 G E Chapter 6 M C sides congruent. A 19. What is 25. 24. 23. 22. Got It? Got It? 18. _ 21. 20. Theorem 6-22 0 6 Problem 4 Problem 3 kite 0 6 . Use thevalueof Solve for Solve Diagonals ofakiteare perpendicular, so The valueof i 2 2 2 2 m the kiteat theright. markscongruence andright anglesymbol(s)on Use Theorem 6-22andExercise 20todraw If n n d isaquadrilateral twopairsofconsecutivesidescongruentandnoopposite with x x x x d / ABCD KNM

1 1 1 1 MN 1 2

6

Quadrilateral MN 8 Algebra 5 12 12 11 11 11 6

? isakite, then > m m 5 5 5 5 5 5 5 / Ifaquadrilateral isakite, thenitsdiagonals are perpendicular. / Theorem 6-22

n 2 x 4 4 2 1 2 1 2 1 FindingAngleMeasuresinKites x UsingtheMidsegmentTheorem 1 2. x (8 x x (

is found below. Write areason isfoundbelow. Write foreachstep. f

KLM

QR 2 10 2 MN x x tofind m 2 1 1 1 by SSS, so is the midsegment oftrapezoid isthemidsegment / KLMN 2) 2) (8 PS by the Triangle Exterior AngleTheorem. by Exterior theTriangle AC x ) 2 MN

' isakite. Whatare 12) . . m g

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. m PQRS l 2, and 2, A . Whatis m D B l x 3? ? K 36  2 P 3 M 1 N L

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1 6 9 Rate howwellyoucanuse off Check 26. 27. Compare andContrast

Need to review

trapezoid Place a ______How isakitesimilartorhombus? How isitdifferent? Explain. Math Success Lesson Check ieDsrpinRhombus Description Kite the vocabulary words thatyou understand. thevocabulary ✓ 0246810 inthebox fitsthefigure. ifthedescription Placean Each diagonalbisectsapairofoppositeangles. Two pairsofcongruentconsecutivesides How isakite similartoarhombus? How isitdifferent? Explain. Two pairsofcongruentoppositeangles Supplementary consecutiveangles

kite properties of trapezoids andkites oftrapezoids properties • Congruent oppositesides Perpendicular diagonals Do you Quadrilateral UNDERSTAND? base 169

Now I get it! . leg ✗ ifitdoesnot. midsegment Lesson 6-6 33/18/09 7:22:39 AM / 1 8 / 0 9

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