Geometry Semester 2 Final Review
Name:GEO FINAL REVIEW 1Geometry Semester 2 Final Review1. Find the value of x.5. A cone is inscribed in a cylinder with a radius of 6units. Describe the relationship between thevolume of the cylinder and the volume of thecone.6. Find the height of the triangular pyramid whenthe volume is 318 square centimeters. Round tothe nearest hundredth.2. Write sin 33 in terms of cosine.3. A rectangular yard is fenced in using 160 feet ofcustom fence. Your friends really like the fenceand decide to fence in their yard using the samefence. Their yard is similar but has a scale factor3oftimes the size of yours, how much fence, to4the nearest foot, will they have to purchase?7. A custom fish tank shaped like a rectangularprism needs to have a length of 21 inches, awidth of 23 inches and hold a volume of 7679cubic inches. What height must the tank be madeto meet these specifications?4. A carpenter is constructing a staircase in a house.The distance from the first floor to the basementis 8.6 feet. The staircase will be 14.1 feet long.What angle do the stairs make with the basementfloor?1
GEO FINAL REVIEW 18. The diameter of10. QRST WXYZ. The area of WXYZ is given. Findthe area of QRST.Q is 14 centimeters. Find thearc length of PR.11. What is the length of BG?9. Find the volume of the cone. Leave your answerin terms of π.12. Find the angle “x” created by two secants.2
GEO FINAL REVIEW 113. Find the area of each sector. Round your answersto the nearest hundredth.14. In the diagram, KN 4, JN 20, LN 10, andMN x. Find ML.15. In the diagram, m J 39.5 . Find mJK.16. In the diagram, m QNS 80 , m SNU 65 , and m QNW 95 . Find the measure of each arc.a. SWb. QUWc. UW3
GEO FINAL REVIEW 119. Determine whether the two triangles are similar.If they are similar, write a similarity statementand find the scale factor from triangle 2 totriangle 1.17. Find the measure of x.20. Show thatBCD ABD.18. An architect is designing a covered bridge to beplaced over a ravine. In the diagram, BF and BGrepresent the sides of the ravine, FG representsthe road surface of the bridge, and AC representsthe roof covering the bridge. Would thesemeasurements ensure the roof is parallel to theroad surface of the bridge? Explain21. A parasailer is attached to a boat with a rope.While parasailing, the angle of depression to theboat is 25 . When the parasailer isattached to the boat with a 300-foot rope, howhigh above the boat is he? Round your answer tothe nearest tenth of a foot.4
GEO FINAL REVIEW 125. Find the value of x that makes the quadrilateral aparallelogram when AE 5x 28 andCE 3x 36.22. Solve the triangle. Round decimal answers to thenearest tenth.23. In the diagram, BC 9. Find AB and AC . Writeyour answers in simplest form.26. Find the area of the rhombus.27. Find the area of the kite.24. In the diagram, AC 12 3 . Find BC and AB.Write your answers in simplest form.5
GEO FINAL REVIEW 128. For what values of x and y is quadrilateral ABCD aparallelogram?31. The badge shown is shaped like a regularnonagon. Find the measure of each interior angleof the badge. Then find the measure of eachexterior angle.29. Find the value of x.32. In rectangle ABCD, AC 6x 2, BP 4x 3,and DP 6y 19. Find the value of y.30. The end of a charger that is plugged into a phoneis an isosceles trapezoid. Find m J, m K, andm M when m N 140 .6
ID: AGeometry Semester 2 Final ReviewAnswer Section1. ANS: 26PTS: 1DIF: Level 1REF: Geometry Sec. 10.5NAT: HSG-C.A.2 KEY: circle application circumscribed angleNOT: Example 3-12. ANS:cos 57 PTS: 1DIF: Level 1REF: Geometry Sec. 9.5NAT: HSG-SRT.C.6 HSG-SRT.C.7 HSG-SRT.C.8KEY: sine cosineNOT: Example 23. ANS:120 feetPTS: 1DIF: Level 1NAT: HSG-SRT.A.2 HSG-MG.A.3NOT: Example 44. ANS:about 37.6 REF: Geometry Sec. 8.1KEY: similar figures application perimeterPTS: 1DIF: Level 1REF: Geometry Sec. 9.6NAT: HSG-SRT.C.8 HSG-MG.A.1 HSG-MG.A.3KEY: application inverse trigonometric ratiosNOT: Example 5-15. ANS:The volume of the cone is 1/3 the volume of the cylinder.-orThe volume of the cylinder is 3 times the volume of the cone.PTS: 16. ANS:about 7.31 cmNAT: HSG-MD.A.1PTS: 1DIF: Level 1REF: Geometry Sec. 11.6NAT: HSG-GMD.A.1 HSG-GMD.A.3 HSG-MG.A.1KEY: volume pyramidNOT: Example 37. ANS:about 15.90 in.PTS: 1DIF: Level 1REF: Geometry Sec. 11.5NAT: HSG-GMD.A.1 HSG-GMD.A.2 HSG-GMD.A.3 HSG-MG.A.1 HSG-MG.A.2KEY: volume applicationNOT: Example 41
ID: A8. ANS:about 4.15 cmPTS: 1DIF: Level 1NAT: HSG-C.B.5 HSG-CO.A.19. ANS:3about 1608.5 cm512π cm 3REF: Geometry Sec. 11.1KEY: arc lengthNOT: Example 2PTS: 1DIF: Level 1NAT: HSG-GMD.A.1 HSG-GMD.A.3NOT: Example 210. ANS:2198 in.REF: Geometry Sec. 11.7KEY: volume conePTS: 1DIF: Level 1NAT: HSG-SRT.A.2NOT: Example 511. ANS:66REF: Geometry Sec. 8.1KEY: similar figures areaPTS: 1DIF: Level 1NAT: HSG-SRT.B.5 HSG-GPE.B.6NOT: Example 112. ANS:x 52.5REF: Geometry Sec. 8.4KEY: Triangle Proportionality TheoremPTS: 1NAT: HSG-C.A.2NOT: Example 213. ANS:2about 13.96 cmabout 44.13 cm 2DIF: Level 1REF: Geometry Sec. 10.5KEY: circle application measures of arcsPTS: 1DIF: Level 1NAT: HSG-GMD.A.1 HSG-C.B.5NOT: Example 314. ANS:ML 18PTS: 1NAT: HSG-C.A.2NOT: Example 1REF: Geometry Sec. 11.2KEY: area sector of a circleDIF: Level 1REF: Geometry Sec. 10.6KEY: circle segments of a chord application2
ID: A15. ANS:mJK 101 PTS: 1NAT: HSG-C.A.216. ANS:DIF: Level 1REF: Geometry Sec. 10.4KEY: inscribed angleNOT: Example 1a. mSW 175 b. mQUW 265 c. mUW 120 PTS: 1NAT: HSG-C.A.217. ANS:x 3PTS:NAT:NOT:18. ANS:AF BFDIF: Level 1REF: Geometry Sec. 10.2KEY: circle measures of arcsNOT: Example 21DIF: Level 1HSG-SRT.B.5Example 4REF: Geometry Sec. 9.3KEY: geometric mean2 CG 121, . Because , the roof is not parallel to the road surface of the bridge.5 BG 353PTS: 1DIF: Level 2NAT: HSG-SRT.B.5 HSG-GPE.B.6NOT: Example 219. ANS:similar;PQR GKH; scale factor REF: Geometry Sec. 8.4KEY: Triangle Proportionality Theorem application34PTS: 1DIF: Level 2REF: Geometry Sec. 8.3NAT: HSG-SRT.B.4 HSG-SRT.B.5 HSG-MG.A.1KEY: SAS Similarity TheoremNOT: Example 320. ANS: BDC ADBRight Angles Congruence Theorem53 90 m CBD 180 , so m CBD 37 Triangle Sum Theoremdefinition of congruent angles CBD BADAA Similarity T heoremBCD ABDPTS: 1DIF: Level 1NAT: HSG-SRT.A.3 HSG-SRT.B.5NOT: Example 2REF: Geometry Sec. 8.2KEY: AA Similarity Theorem similar figures3
ID: A21. ANS:about 126.8 ftPTS: 1DIF: Level 1REF: Geometry Sec. 9.5NAT: HSG-SRT.C.6 HSG-SRT.C.7 HSG-SRT.C.8KEY: sine cosine applicationNOT: Example 6-122. ANS:x 17.4, y 26.8PTS: 1DIF: Level 1REF: Geometry Sec. 9.5NAT: HSG-SRT.C.6 HSG-SRT.C.7 HSG-SRT.C.8KEY: sine cosineNOT: Example 323. ANS:AB 18, AC 9 3PTS: 1DIF: Level 1NAT: HSG-SRT.C.8NOT: Example 224. ANS:BC 12, AB 24REF: Geometry Sec. 9.2KEY: special right trianglesPTS: 1DIF: Level 1NAT: HSG-SRT.C.8NOT: Example 225. ANS:x 4REF: Geometry Sec. 9.2KEY: special right trianglesPTS: 1DIF: Level 1REF: Geometry Sec. 7.3NAT: HSG-CO.C.11 HSG-SRT.B.5 HSG-MG.A.1KEY: parallelogramNOT: Example 426. ANS:220 mPTS: 1DIF: Level 1NAT: HSG-GMD.A.327. ANS:272 cmREF: Geometry Sec. 11.3KEY: areaNOT: Example 1PTS: 1DIF: Level 1NAT: HSG-GMD.A.328. ANS:x 6, y 3REF: Geometry Sec. 11.3KEY: areaNOT: Example 1PTS: 1DIF: Level 2NAT: HSG-CO.C.11 HSG-MG.A.1NOT: Example 2-2REF: Geometry Sec. 7.3KEY: parallelogram4
ID: A29. ANS:x 93PTS: 1DIF: Level 1REF: Geometry Sec. 9.1NAT: HSG-SRT.C.8KEY: Pythagorean TheoremNOT: Example 230. ANS:m M 140 , m K 40 , and m J 40 PTS: 1DIF: Level 1NAT: HSG-MG.A.1NOT: Example 231. ANS:interior: 140 ; exterior: 40 REF: Geometry Sec. 7.5KEY: trapezoid isosceles trapezoid applicationPTS: 1DIF: Level 1NAT: HSG-CO.C.11NOT: Example 632. ANS:y 4REF: Geometry Sec. 7.1KEY: angle measures of polygons applicationPTS: 1DIF: Level 3REF: Geometry Sec. 7.4NAT: HSG-CO.C.11 HSG-SRT.B.5 HSG-MG.A.1KEY: rectangleNOT: Example 55
Geometry Semester 2 Final Review 1. Find the value of x. 2. Write sin 33 in terms of cosine. 3. A rectangular yard is fenced in using 160 feet of custom fence. Your friends really like the fence and decide to fence in their yard using the same fence. Their yard is similar but has a scale factor
Geometry Semester 2 Final Assignment 2016 It is very important that you review for the Geometry Final. Here are a few pieces of information you want to know. ¾ Your Final is worth 15% of your overall grade ¾ The final covers concepts from the entire semester, they are the following o Unit 7 – Similarity o Unit 8 – Right Triangles
Geometry Final Exam Review #2 Semester 2 Name:_ Hour:_ GEOMETRY SEMESTER 2 FINAL REVIEW #2 1. The ratio of the side
2-semester project Semester 1 Semester 2 Semester 3 1-semester project Semester 2 Semester 3 BA to MA Student Semester 1 Semester 2 Select a faculty member to se rve as Project A dvisor Co m plete Project F orm #1, with A dviso r‘s signature, and file it with the Program Director Deve lop a wri tten Project Pr oposa l, and
www.ck12.orgChapter 1. Basics of Geometry, Answer Key CHAPTER 1 Basics of Geometry, Answer Key Chapter Outline 1.1 GEOMETRY - SECOND EDITION, POINTS, LINES, AND PLANES, REVIEW AN- SWERS 1.2 GEOMETRY - SECOND EDITION, SEGMENTS AND DISTANCE, REVIEW ANSWERS 1.3 GEOMETRY - SECOND EDITION, ANGLES AND MEASUREMENT, REVIEW AN- SWERS 1.4 GEOMETRY - SECOND EDITION, MIDPOINTS AND BISECTORS, REVIEW AN-
Geometry Semester 2 Final Assignment It is very important that you review for the Geometry Final. Here are a few pieces of information you want to know. Your Final is worth 15% of your overall grade The final covers concepts fr
Geometry 1st Semester Review Packet: Completed review packets are worth 20 points extra credit (on 3rd quarter homework grade) and are due the day of the exam. No late review packets will be accepted for any reason. Note: Extra credit is only available for regular Geometry and concepts Geometry.
Manajemen Akuntansi Keuangan Lanjutan 1 Taufan Adi K Muda Setia Hamid Aplikasi Perpajakan Uum Helmina C SEMESTER 5 A1 SEMESTER 5 A2 SEMESTER 5 A3 SEMESTER 5 A4 SEMESTER 5 A5 SEMESTER 5 A6 SEMESTER 5 A7 SEMESTER 5 A8 07.30-10.00 102 203 103 10.10-12.40 104 13.00-15.30 104 307 306 15.30-18.00 306 308 LTD 305 306
course. Instead, we will develop hyperbolic geometry in a way that emphasises the similar-ities and (more interestingly!) the many differences with Euclidean geometry (that is, the 'real-world' geometry that we are all familiar with). §1.2 Euclidean geometry Euclidean geometry is the study of geometry in the Euclidean plane R2, or more .
