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Chapter6StudyGuide
Geometry
Name:________________Per:___
Vocabularytodefine:
• Trapezoidbase
• Midsegmentof
• Sideofa
atrapezoid
polygon
• Concave
• Parallelogram
• Square
• Convex
•
Rectangle
• Trapezoid
• Diagonal
• Regularpolygon
• Vertexofa
• Isosceles
polygon
trapezoid
• Rhombus
• Kite
1. Createasketchofaregularconvexpolygon.
2. Createasketchofanirregularconcavepolygon.
3. Findthesumoftheinterioranglesforadodecagon.
4. Findthemeasureofeachinteriorangleofaregular20-gon.
5. Findthemeasureofeachexteriorangleofaregularheptagon
6. FindeachmeasureforthepolygonABCDEFatright:
a. Thesumoftheinteriorangles
b. Themeasureofthesmallestangle
c. ThemeasureoftheexteriorangleoffofvertexA
7. WXYZisaparallelogram.Findeachmeasure.
a. WX
b. YZ
c. m
d. m e. m f. m 8. ThreeverticesofparallelogramRSTVareR(-8,1),S(2,3),andV(-4,-7).Find
thecoordinatesofvertexT.Makeasketchtocheckyourwork.
9. ShowthatMNPQisaparallelogramgiventhata=6andb=1.6
10. ShowthatthequadrilateralwithverticesB(-4,3),D(6,5),F(7,-1),and
H(-3,-3)isaparallelogram.
a. Showwithslopecalculations
b. Showwithdistancecalculations
c. Completeaquicksketch.
11. InrectangleABCD,CD=18,andCE=19.8.
a. FindlengthAB
b. FindlengthBE
12. InrhombusWXYZ,WX=7a+1,WZ=9a-6,andVZ=3a.
a. FindlengthXY
b. FindlengthXZ
13. InrhombusRSTV,m TZV=(8n+18)˚,andm SRV=(9n+1)˚.
a. Findm
b. Findm
14. InkiteWXYZ,m
,andm
.
a. Findm
b. Findm
15. FindthemeasureofBZofZH=70andEK=121.6
16. FindthemeasureofMN
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