1 V Bh 3. Geometry Final Exam Prep Questions (Study Tips On Last Page) 3. Find the volume of this square pyramid.

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Geometry Final Exam Prep Questions (Study Tips On Last Page) 1. State the number of planes in this diagram. 3. Find the volume of this square pyramid. 1 V Bh 3 a) 1 b) 3 c) 4 d) 5 e) None 2.

1 Geometry Final Exam Prep Questions (Study Tips On Last Page) 1. State the number of planes in this diagram. 3. Find the volume of this square pyramid. 1 V Bh 3 a) 1 b) 3 c) 4 d) 5 e) None 2. Find x and y so that KO and HM are perpendicular. a) 11 b) 30 c) 48 d) 96 e) None 4. If = 180 and = 180, what theorem states that 1 = 3? a) x=7, y=28 b) x=5, y=10 c) x=7,y=17 d) x=11,y=9 a) Vertical angles are. b) Complements of angles are. c) Supplements of angles are. d) Corresponding angles are.

2 5. Determine whether AB and CD are parallel, perpendicular or neither. A(-6,-9), B(8,19), C(0,-4), D(2,0). a) Parallel. b) Perpendicular. c) Neither. d) Parallel and perpendicular. 6. Determine which postulates prove these two triangles are congruent. 7. Write a linear equation in slope-intercept form for a line perpendicular to 4y - 3x = 2 and containing (4,0). a) y = -x + 4 b) y = -3x - 4 c) y = x + 15 d) y = x Find the measure of angle 1, 2 and 3. a) 1 = 61, 2 = 45, 3= 12 a) SSS and SAS b) SAS, AAS and HL c) ASA, HL, SAS and AAS d) SSS, SAS, ASA and HL b) 1 = 61, 2 = 151, 3= 12 c) 1 = 61, 2 = 151, 3= 13 d) 1 = 61, 2 = 117, 3= 21

9. This transformation is a result of which of the following: reflection, translation and/or rotation. 10. In this equilateral triangle with vertices X, Y and Z. Find the coordinate of Z.

3 9. This transformation is a result of which of the following: reflection, translation and/or rotation. 10. In this equilateral triangle with vertices X, Y and Z. Find the coordinate of Z. a) (a,0) b) (2a,0) c) ( 2,0) d) (2a 2,0) a) Translation and Rotation. b) Translation and Reflection. 11. Solve for segment EX if FX = 8, ED = 10 and BC = 15. c) Translation, Reflection and Rotation. d) Reflection and Rotation. a) 8 b) 17 c) 41 d) 2 41

4 12. Solve for x, segment y and segment z. 14. Find segment AC and BC if AB = 28. a) x = 60, y = 30, z = 20 b) x = 60, y = 40, z = 60 c) x = 60, y = 20 3, z = d) x = 60, y = 20 3, Solve for WX. Point W is a circumcenter. Segment WT = 12, WZ = 13, WR = 6 and YZ = 14. a) AC = 14 and BC = 42. b) AC = 38 and BC = 21. c) AC = 12 and BC = 16. d) AC = 42 and BC = Find the range for the measure of the third side of a triangle given the measures of two sides are 5 and 11. a) 6 < x < 16 b) 7 < x < 17 c) 5 < x < 15 d) 4 < x < 14 a) 10 b) 11 c) 12 d) 13

5 16. Find x and z in this parallelogram. 18. Find the measure of a and d of this rectangle, given the 28. a) a = 28 and d = 56 a) x = 5 and z = 11 b) x = 4 and z = 15 c) x = 3 and z = 16 d) x = 6 and z = 10 b) a = 62 and d = 56 c) a = 62 and d = 124 d) a = 28 and d = Find the length of AB in this rhombus. 17. Solve for x of this regular hexagon. a) 97 a) x = 60 b) x = 120 c) x = 50 d) x = 100 b) 31.3 c) 26 d) 35.5

6 20. If DMX ~ LYR name the corresponding sides that are in proportion. 22. Solve for x and y. a) DM = MX = DX DX LR LR b) DM = MX = DX LY YR LR c) DX = MX = DY LY YR LR d) DM = MX = DX LY YX LY 21. A boy who is 60 in. tall measured shadows to find the height of a tree. The boy s shadow was 24 in. long and the tree s shadow was 13 ft. long. What is the height of the tree? a) 17 ft b) 30 ft c) 5 ft d) 32.5 ft a) x = 15 and y = 12.6 b) x = 16 and y = 36 c) x = 20 and y = 17.7 d) x = 22 and y = If the distance between Earth and the Sun is actually 150,000,000 kilometers, how far apart are Earth and the Sun when using the 1:93,000,000 scale model? a) 3.1 km b) 1.61 km c) 1.81 km d) 2.1 km

7 24. Solve for x. 26. Solve for x, y and z. a) x = 15 b) x = 11.3 c) x = 32 d) x = Find the perimeter of ABC. B a) x = 59 y = 30 z = 4 b) x = 18 y = 15 z = 17.9 c) x = 49 y = 19 z = 10 d) x = 39 y = 21.9 z = 13.8 A C a) b) c) d) A bird is 58 ft off the ground and spots a worm at a 32 angle of depression. What is the horizontal distance from the bird to the worm? a) 42 ft b) ft c) 68 ft d) 92.8 ft 28. Find the direction of a vector from the origin with a component of < 8, 14 >. a) 59 b) 60 c) 61 d) 62

8 29. How many lines of symmetry does this figure appear to have? 31. Solve for angle y given a chord and a tangent are meeting at the point of tangency. a) 0 b) 1 c)2 d) 3 a) 80 b) 90 c) 100 d) Solve for the radius if segment AB is tangent. 30. Find the measure of arc DC. a) 131 b) 90 c) 116 d) 162 a) 10 b) 12 c)22 d) 16

33. Write the standard equation of the circle with center (1,2) that runs through (4,6). 36. Solve for the shaded area if the diameter of the circle is 9.

9 33. Write the standard equation of the circle with center (1,2) that runs through (4,6). 36. Solve for the shaded area if the diameter of the circle is a) x y b) x y c) x y d) x y a) 10 b) 19.5 c) 11.6 d) Find the area of this parallelogram. 37. Find the area of the regular hexagon if it is inscribed in a circle w/ the diameter = 20. a) 100 b) 9.5 c) d) Which of the following formula allows you find the area of a kite? a) 220 b) 224 c) d) a) A = πr 2 b) a 2 + b 2 = c 2 c) A = 2 2r 2 1 rh d) A d1d2 2

10 38. Find the surface area of this prism. 39. Find the volume of this cone if the 1 diameter = 24. V Bh. 3 a) 288ft 2 b) 336 ft 2 c) 144 ft 2 d) 576 ft 2 a) 857π b) 231π c) 400π d) 768π

11 40. Find the probability that a point will NOT randomly fall on the triangle. (Shaded area divided by total area) a) 0.11 b) 0.79 c) 0.89 d) 0.5

12 Answers 1. d 2. a 3. c 4. c 5. c 6. c 7. d 8. b 9. b 10. b 11. d 12. c 13. d 14. d 15. a 16. b 17. a 18. c 19. e 20. b 21. d 22. a 23. b 24. c 25. a 26. d 27. d 28. b 29. b 30. c 31. a 32. a 33. b 34. e 35. d 36. c 37. c 38. b 39. d 40. c

13 2015 Geometry Semester 2 Final Exam Study Tips and Information The final exam is CUMULATIVE and will include all concepts taught during the first and second semesters. Your binder is an excellent study tool. Review all notes and example problems to decide what material has been emphasized. Look at and REDO homework problems with which you struggled! Use the homework solutions on my website to check your answers! Do EVEN numbered problems in the book from sections that we covered. Use the homework solutions on my website to check your answers! Do some of the suggested problems listed on the following pages. Study your old quizzes and tests and practice CORRECTING mistakes that you made on them! REDO quiz and tests problems with which you had trouble! Know the meaning of all math vocabulary. Be able to explain them to someone else who knows nothing about math! REMEMBER- the more you practice each type of problem, the more you will feel confident and succeed on the exam! LASTLY BUT MOST IMPORTANT- do NOT wait until the night before the semester final exam to study! A least a COUPLE OF WEEKS before the exam, you should divide up your studying so that you focus on 2 or 3 sections of a chapter each night. Eventually, figure out what concepts you struggle with the most, and focus on practicing those problems the last night or two before the exam.

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior