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Geometry 2010 – 5 week Assessment Please DO NOT write on this Exam paper. Write your answers in the spaces provided on the answer sheet; if you need scratch paper please ask. Read each question carefully and make sure you attempt each one. – GOOD LUCK! 1. Classify the triangle by angle? a. right b. acute c. equiangular d. obtuse For questions 6 – 9 use the diagram below H G 2. What is the measure of this angle in degrees? a. 35 b. 45 c. 135 d. 145 3. Make a conjecture about the next term in the sequence: 1, 3, 9, 27______? a. 36 b. 64 c. 81 d. 729 4. (x+3)2 = a. x2 + 9 b. x2 + 9x + 6 c. x2 + 6x + 9 d. 2x + 6 5. Given m2 + 6 = 10, is the conjecture that m = 2 true or false? a. False; m = 4 b. True c. False; m = 3 d. False m = ±2 J I Q L M K 6. Name two vertical acute angles a. KQL, KQM b. KQL, IQH c. GQI, IQM d. HQL, IQK 7. Name a pair of obtuse adjacent angles a. KQG, HQM b. GQI, IQM c. GQL, LQJ d. HQG, IQH 8. Name a linear pair a. KQG, HQM b. GQL, LQJ c. GQI, IQM d. LQG, KQM 9. Name an angle supplementary to MQI. a. IQG b. MQK c. GQL d. IQH 10. The measures of two complementary angles are 12q – 9 and 8q + 14. Find the measures of the angles. a. 42, 48 b. 4.25 c. 8.75 d. 96, 48 For questions 14 -1 8 refer to diagram n below A H D m B C J G F 11. In the figure GK bisects FGH. F xo G yo K H If mFGK = 3v – 4 and mKGH = 2v + 7, find x a. 58 b. 29 c. 33 d. 11 12. Classify the polygon a. b. c. d. quadrilateral, convex, irregular quadrilateral, concave, irregular quadrilateral convex regular pentagon, convex, regular 13. Which symbols accurately represent the sentence: A line segment with endpoints at A and B, perpendicular to a line passing through points C and D a. AB CD b. AB CD c. AB CD d. AB CD p 14. Name a line that contains point J. a. b. c. d. DB GF n p 15. What is another name for line n? a. Line JB b. AC c. DC d. DA 16. Which of these is NOT a way to refer to line BD? a. JB b. m c. JDB d. Line JD 17. Name the intersection of lines m and n a. H b. B c. D d. G 18. Name 3 points that are collinear a. B, A, H b. A, D, C c. J, D, C d. G, F, H 19. Classify the polygon a. b. c. d. decagon, convex, irregular decagon, concave, irregular dodecagon, convex, irregular dodecagon, concave, irregular 20. In the diagram, k and n are two parallel lines cut by a transversal, t. Which of the following relationships is NOT true? 22. What is the sum of the interior angles of a pentagon? a. 108 b. 180 c. 360 d. 540 23. Factor x2 + 5x – 66 into 2 binomials: a. (x + 11)(x - 6) b. (x – 11)(x + 6) c. (x + 22)(x – 3) d. cannot be factored 24. Why is this not a polygon? t 1 2 3 4 5 6 78 a. b. c. d. k n m2 = m5 m1 = m8 m3 = m7 m4 = m5 21. Is this is a regular pentagon, if so why? a. b. c. d. No Yes, all the angles equal Yes, All the sides equal Yes, all sides and all angles equal a. It is an irregular polygon b. It is not a closed figure c. It is not made up of line segments d. Both b and c are true 25. Which of the following measures can NOT be the lengths of the sides of a triangle a. 12, 10, 3 b. 4, 5, 7 c. 3, 6, 9 d. 5, 7,13 26. The first 3 angles of a quadrilateral are 45o, 75o, and 130o. What is the measure of the fourth angle? a. 250o b. 110o c. 70o d. 67o 27. In ∆HOP segment PQ is a median, segment PS is an altitude and QR a perpendicular bisector. Which of the following statements can NOT be assumed to be true? P R H a. b. c. d. Q S O mRQH = mPSO QH = OQ mQPS = mSPO mRQS = 90o For questions 31 – 34 make sure you show your work and only write or draw on your answer paper 31. Use a straight edge to draw the following diagram. Include any necessary labels. Line segment RS Ray PQ bisecting RS at point Q Line UV parallel to Segment RS 32. Find ma, m2 and m3 2 28. What is the product of one half, one third, and one fourth? 1 a. 24 1 b. 9 13 c. 12 3 d. 8 3x 3 y 4 2 xy 2 29. Simplify: y 2x 2 a. 6xy 5 b. 6x 2 y 5 c. 3x 2 y 5 d. 3x 2 y 7 30. Which of the following shows the converse of the statement and whether it is true or not? If 2 angles form a linear pair, then they are supplementary a. If 2 angles are supplementary, then they form a linear pair : True b. If 2 angles are supplementary, then they form a linear pair : False, they may not be adjacent c. 2 angles a supplementary if they form a linear pair : true d. If 2 angles are a linear pair, then they are supplementary: true. 59o 47o 1 3 64o 33. Plot the following graphs Y = ⅜x + 2 Y = -2x - 5 34. Find the value for x in this polygon (x+7o) (x+3)o (2x)o (2x)o (x - 10)o Answer Sheet – Honors Geometry - Fall Midterm Name_______________________ Exam Version ____________ 1. _______ 11. _______ 21. _______ 2. _______ 12. _______ 22. _______ 3. _______ 13. _______ 23. _______ 4. _______ 14. _______ 24. _______ 5. _______ 15. _______ 25. _______ 6. _______ 16. _______ 26. _______ 7. _______ 17. _______ 27. _______ 8. _______ 18. _______ 28. _______ 9. _______ 19. _______ 29. _______ 10. _______ 20. _______ 30. _______ For Questions 31 – 34 show any work here. 31.. 32. m1,_________m2_________, m3________ 33. 34. 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 X = ________________