Geo REVIEW for Final Exam sem 1 part B fall 2017 worked out answers.notebook December 05, 2017

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1 1. he interection of 2 plane i LWYS a S Geo RVIW for Final xam Semeter 1 Part 2. Identify the interection of plane SVX and plane S. V X W 3. How many plane are repreented in the figure? Z Y 4. Find = Find = 1

2 7. 8. laify each angle a Right, cute, Obtue, or Straight. hen etimate the meaure of each. a) SW =, b) SW =, c) RS =, R S m V W 9. Identify the hypothei and the concluion of the tatement If you tudy thi review, then you will pa the final. If you tudy thi review, then you will pa the final. 10. Write the convere of the tatement in #9 H: : 11. Write the invere of the tatement in #9. 2

3 If you tudy thi review, then you will pa the final. 12. Write the contrapoitive of the tatement in #9. Given: If x = 7, then x 2 = Write the invere of the tatement 14. Write the contrapoitive of the tatement. 15. laify each of the following tatement a SOMIMS, LWYS, or NVR R. 16. hooe from thee propertie to jutify each property. Reflexive, Symmetric, ranitive, or Subtitution. a) wo point determine a line. b) If two plane interect, then their interection i a point. c) If two point lie in a plane, then the entire line containing thoe point lie in that plane. d) Four point are coplanar. b) If x = a and a = z, then x = z c) If x + y = 30 and x = 7 then 7 + y = 30. d) m = m 3

4 17. Perimeter = 24 in. Find the length of each ide by writing an equation and howing all work 2y counterexample to a tatement mut make the IF part R but the HN part FLS. Find a counterexample to each of t the following tatement. 7y 3y + 5 a) If x 2 = 25, then x = 5. c) If it a weekday, then it i Monday. y = Side are,, and 19. e the figure at the right. State the definition, property, potulate, or theorem that jutifie each tatement. R S 20. V P W = 22. If two angle form a linear pair, then they are upplementary angle. 4

5 23. omplete the proof below by upplying the reaon for each location. Given: 3 2(4 x) = x Prove: x = omplete the proof by upplying the miing information. 25. Draw all line of ymmetry or tate NON. 26. State which have rotational ymmetry and find both ORDR and MGNID if the figure doe have rotational ymmetry. 5

6 laify each by the number of ide laify each a convex or concave ype of tranformation? y 32. What vector bet decribe the tranlation in the figure below? ' Reduction or nlargment? ' ' x ' Scale Factor? 6

7 e the figure to the right to anwer the following quetion. 33. Name the angle which i vertical to Which angle i vertical to e the figure to the right to anwer the following quetion. 34. Find the meaure of that prove and are complementary if i twice. Write an equation and olve by howing all work. m = e the figure to the right to anwer the following quetion. 35. If m = 9x + 54, find the value of x given that º. Show all your work. e the figure to the right to anwer the following quetion. 36. If m = 5x 4 and m = 6x + 8, find x and m by writing an equation and howing all work. x = x = and m = 7

8 e the figure to the right to anwer the following quetion. 37. If m = 6x + 17 and m = 4x 8, find x by writing an equation and howing all work. x = and m = 38. In the figure at the right m IJK = 121, m IJ = 37, and m JK = 3x Find x x = K J I 39. Refer to the figure to anwer the following quetion. Identify the pecial name for each pair of angle. a) 1 and 3 b) 5 and 16 tranveral c) 8 and 13 tranveral r p q Refer to the figure to anwer the following quetion. Identify the pecial name for each pair of angle. d) 3 and 9 tranveral e) 2 and 3 tranveral r p q

9 Refer to the figure below to anwer the following quetion. 40. Given m 1 = m 5, which potulate or theorem jutifie that «t? Refer to the figure below to anwer the following quetion. 41. Given m 3 = m 6, which potulate or theorem jutifie that «t? t t Refer to the figure below to anwer the following quetion. Refer to the figure below to anwer the following quetion. 42. Given m 2 = m 7, which potulate or theorem jutifie that «t? 43. Given m 4 + m 6 = 180, which potulate or theorem jutifie that «t? t t

10 Refer to the figure at the right to anwer the following quetion. 44. Name an angle biector. (hould be a ray!) 45. Name a median. (hould be a egment) 46. Name an altitude. (hould be a egment) 47. Name a perpendicular biector. ( hould be a line) 48. Name an angle biector. (hould be a ray!) G H 49. Name a median. (hould be a egment) D F 50. Name an altitude. (hould be a egment) 51. Name a perpendicular biector. ( hould be a line) 52. Given: i an altitude, which of the following i a R tatement? a) YWZ i a right angle c) XW = WZ 53. If i a median, then which tatement i R? a) DGF i a right angle c) DG = G b) DF = F d) DFG FG b) XYW ZYW d) XY = ZY X W Y G D Z F 10

11 54. If i a perpendicular biector, then complete 5 R tatement. a) i a right angle b) DG = D G Find the value of x for each figure. 55. x c) i a midpt of F e) i a right angle 67 Find the value of x for each figure. 57. Find the meaure of the indicated angle x 1 = 3 = 2 = 4 = 40 11