Final Exam covers: Homework 0 9, Activities 1 20 and GSP 1 6 with an emphasis on the material covered after the midterm exam.


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1 MTH / FINL EXM REVIEW Finl Exm overs: Homework 0 9, tivities 1 0 nd GSP 1 6 with n emphsis on the mteril overed fter the midterm exm. You my use oth sides of one 3 5 rd of notes on the exm onepts to know Tesselltions, reting nd explining: Regulr polygons, tringles, qudrilterls Side lengths, generl nd speifi: 45º45º90º tringle nd 30º60º90º tringle (nd how to derive them using the Pythgoren Theorem). Working with squre roots Equilterl tringle re nd how to derive for ny equilterl tringle Regulr hexgon re nd how to derive for ny regulr hexgon Properties of, nd re formuls for: Trpezoids, kites, drts, prllelogrms, rhomi, retngles nd squres The four isometries wht re they Find line of trnsltion y mesuring nd onstruting Find line of refletion y mesuring nd onstruting Find enter nd degree of rottion etween two figures y mesuring nd onstruting Perform eh isometry using ompss nd strightedge Given figure nd n imge; determine nd rete the orresponding isometry using no more thn three lines of refletion Sle ftors nd length / perimeter Sle ftors nd re Sle ftors nd volume Reptiles nd similrity Pythgoren Theorem visul / lgeri proofs Review questions follow
2 Finl Exm Review Questions 1. rete Venn digrm to lssify the following: Qudrilterl, Prllelogrm, Retngle, Rhomus, Squre, Trpezoid nd Kite. For eh setion of the Venn digrm, drw qudrilterl tht orresponds to tht setion only nd desrie the properties of tht qudrilterl.. Whih regulr polygons reptile the plne Explin your nswer. 3. Whih regulr polygons tessellte the plne Explin your nswer. 4. Drw qudrilterl tht does not hve ny prllel sides. Tessellte the plne with this qudrilterl. 5. Is the omposition of two trnsltions ommuttive Why or why not 6. Is the omposition of two refletions ommuttive Why or why not 7. Is the omposition of two rottions ommuttive Why or why not 8. Is the omposition of two glide refletions ommuttive Why or why not 9. The digrm elow represents trnsformtion of to ' '. Whih single motion (rottion, refletion, trnsltion or glide refletion) will move to '. Use ompss nd strightedge to onstrut the omponents of the isometry.. Using no more thn three lines of refletion, mthemtilly show how the motion in prt () n e omplished y sequene of one, two or three refletions (no guess nd hek).
3 10. The digrm elow represents trnsformtion of to '. Whih single motion (rottion, refletion, trnsltion or glide refletion) will move to '. Use ompss nd strightedge to onstrut the omponents of the isometry.. Using no more thn three lines of refletion, mthemtilly show how the motion in prt () n e omplished y sequene of one, two or three refletions (no guess nd hek). 11. The digrm elow represents trnsformtion of to ' '. Whih single motion (rottion, refletion, trnsltion or glide refletion) will move to ' '. Use ompss nd strightedge to onstrut the omponents of the isometry.. Using no more thn three lines of refletion, mthemtilly show how the motion in prt () n e omplished y sequene of one, two or three refletions (no guess nd hek).
4 1. The digrm elow represents trnsformtion of to ' '. Whih single motion (rottion, refletion, trnsltion or glide refletion) will move to '. Use ompss nd strightedge to onstrut the omponents of the isometry.. Using no more thn three lines of refletion, mthemtilly show how the motion in prt () n e omplished y sequene of one, two or three refletions (no guess nd hek). 13. For eh digrm, prove tht re 1 + re = re / 3 / / 1 3 / / / 14. Use the digrms nd prove tht + =.
5 15. lulte the re of n isoseles right tringle, where eh leg is length S m. 16. lulte the re of n equilterl tringle, where eh side is length S m. 17. lulte the re of regulr hexgon,, where eh side is length S m. 18. True or Flse If regulr polygon tesselltes the plne, then it is lso reptile. Explin nd justify your nswer. 19. Is every tringle reptile Explin in detil nd support your nswer will reful illustrtions. 0. onstrut two polygons where orresponding ngles re ongruent, ut the polygons re not similr. 1. onstrut two polygons where the rtio of orresponding sides is onstnt, ut the polygons re not similr.. If the sling rtio from one ox to similr lrger ox is 3. nd the surfe re of ox is 1484 m, wht is the surfe re of ox 3. If the sle ftor from one ue to smller ue is ¼ nd the surfe re of ue is 384in, wht is the volume of ue 4. If the sle ftor from regulr hexgon to smller regulr hexgon is ¾ nd the side length of the first hexgon is, then, for the smller hexgon, wht is the ) side length, ) perimeter nd ) re 5. Find the sle ftor nd the enter of enlrgement from Polygon P to Polygon P (eh digrm). You my use ruler. E' ' E D E D D' E' D' '
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