# Name Date Hour - Carman-Ainsworth Community Schools

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Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam Chapter 1 1. Name 3 collinear points. 2. Name 3 points that are not collinear. p m 3. Name 3 coplanar points. J n E 4. Name line p as many ways as possible. A G D 5. Give another name for plane R. 6. Is plane EDF a correct name for plane R? R H F B 7. Is β‘π»π·πΊ another name for line n? 8. Name a point not contained in a line. 9. Where do lines p and n intersect? 10. Will lines n and m ever intersect? 11. Name the geometric shape (line segment, plane, line, point, intersecting planes, intersecting lines) modeled by each of the following. a) The floor b) The floor and the wall c) The tip of a pen d) A blanket e) A telephone pole 12. Classify the polygon by its number of sides. a) b) c) 13. A regular heptagon has a perimeter of 56 feet. What is the length of one of its sides? 14. A regular decagon has a side length of 3x. What is its perimeter? 1

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 15. Find the length. Provide units. a) B) 16. Given V between S and T, VT 2.6 in and ST 4.1 in, find SV. 17. Given G between E and F, EG 2.5 and GF 2.8, find EF. 18. Consider the picture below where ΜΜΜΜ π΄π΅ ΜΜΜΜ π΅πΆ ΜΜΜΜ πΆπ· ΜΜΜΜ π·πΈ and AE 48 feet. Find the length of BD. A B C D E 19. On the number line below AD 14, CD is twice the length of AB, and BC is 4 less than three times the length of AB. Find x and the length of BC. X A B BC 20. Consider the staircase shown below. The length of CD 8 and DB 12. Round to the nearest hundredth. A) Find CB C D A B) Find AB C D B 2

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam A 21. Consider the picture at the right below. a) What is the another name for π΄π·π΅? Give the number. b) What is the another name for π·π΅πΆ? Give the number. B 8 9 7 6 2 3 4 1 5 C D E 22. Consider the picture below where A (0,0), B(8,7), and C(5,0). To the nearest tenth find the following lengths. y a) AB 9 8 B 7 b) BC 6 5 c) AC 4 3 2 1 β1 A β1 1 2 3 4 5C 6 7 8 9 x 23. Use the picture at the right below to find: a) KL b) MJ c) The midpoint of KM d) The midpoint of KL 24. Find the distance of FG 25. Find the distance and midpoint of AB with A (-2, 4) and B (8, 10) 26. R is the midpoint between A and B. If AR 9x-2 and RB 14 5x, then find AB. DRAW AND LABEL A PICTURE!! 3

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 27. Use the picture below. You will need a protractor. G D a) E F Find m GEF. Is this angle acute or obtuse? D b) Find m DEG. Is this angle acute or obtuse? c) m GEF m DEG ? 28. Use the picture at the right below to answer the following questions a) Which angle forms a linear pair with 4? b) E Q 4 Which angle is a vertical angle to 4? W c) If the m QWR 108 then find the m RWT. d) If the m QWR 108 then find the m EWT . e) If the m QWE 12x-14 and m RWT 3x 22 then what is the value for x? f) T R If the m EWT 20x 4 and m RWT 8x-20 then what is the value for x and m QWR. 4

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam D 29. In the figure below DEF is a right angle, m DEG 5x 20, and m GEF 3x 4. What is the measure of angle DEG? E G F 30. If m 1 16x-2 and m 2 9x 32 , find the value of x so that 1 is supplementary to 2. 31. If m 1 10x 25 and m 2 15x-10, find the value of x so that 1 is complementary to 2. 32. Find the area and circumference of the circle shown below. Round your answer to the nearest hundredth. 20 ft 33. Find the area and circumference of the circle shown below. Round your answer to the nearest hundredth. 5

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 34. Find the area and perimeter of the triangle shown below. 35. The figure below shows a rectangle with its given dimensions. The perimeter of the rectangle is 198. What is the value of x? 3x 6x 36. The figure below shows a rectangle with its given dimensions. The area of the rectangle is 448. What is the value of x? 4x 7x 37. What is the perimeter of the rectangle shown below. Your answer will look like β20x 44β β this is not the answer. 2x 3 4x-5 38. Find the area and perimeter of each irregular shaped region. a) P ; A b) P ; A 6

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 39. Liam has a rectangular garden that is 4-foot-by-6-foot. a) What is the area of his garden? b) He wants to double the area of his garden. What will be the area of this garden? c) If he doubles the length and width of the original garden, what will be the area of this garden? 40. A rectangular garden 32 feet by 45 feet is surrounded by a path 3 feet wide. What is the outer perimeter of the walk? Μ? 41. Rectangle JKLM shown below has a perimeter of 238 cm. What is the length, in centimeters, of π½πΏ M 39 cm L ? J K 42. Measurements for the rectangle shown below are in inches. The perimeter of the rectangle is 72 inches. What is the area of the rectangle in square inches? 6 x x 12 7

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam Use the picture at the right below for questions 43 and 44. 43. If π πΊπ΅πΎ 65π , find π ππ΅π·. D R G 44. If π π΄π΅πΎ 3π₯ 21 and π ππ΅π΄ 2π₯ 9, find x. B A Chapter 3 Refer to the figure at the right below to identify each of the following. 45. A plane parallel to plane QRS K 46. A plane perpendicular to plane QPU 47. A segment skew to ΜΜΜΜ ππ that contains point U ΜΜΜΜ 48. All segments parallel to ππ ΜΜΜΜ 49. A segment perpendicular to ππ Refer to the figure at the right below where x//y. 50. If m 1 63, find m 5 What is the relationship (type of angles) between these two angles? x x//y 51. If m 3 47, find m 5 What is the relationship (type of angles) between these two angles? 2 1 y 3 4 7 5 52. If m 4 123, find m 5 What is the relationship (type of angles) between these two angles? 6 8 53. If m 6 110, find m 5 What is the relationship (type of angles) between these two angles? 54. If m 8 43, find m 5 What is the relationship (type of angles) between these two angles? 55. If m 8 55, find m 1 What is the relationship (type of angles) between these two angles? 8

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam x x//y Refer to the figure at the right below where x//y. 56. Given that x//y , m 4 14x-1 , and m 5 5x 10, find the value of x. 2 1 y 3 4 7 5 6 8 57. Given that x//y , m 2 16x-22, and m 7 8x 46, find the value of x. 58. Multiple Choice. Given a b, π 7 8π₯ 7 and π 1 15π₯ 11 find the π 6? A B C D 69 70 71 72 y 59. (a) Graph the point (3, -2). Label it point P. 8 7 6 5 4 3 2 1 (b) Graph the line y 4. Label it line n. (c) What is the distance from P to n? β8 β7 β6 β5 β4 β3 β2 β1 β1 β2 β3 β4 β5 β6 β7 β8 1 2 3 4 5 6 7 8 x 60. Multiple Choice. If 2 6 determine which lines are parallel. State the postulate or theorem that justifies your answer. A π π; congruent corresponding angles B π π; congruent alternating exterior angles C π π; congruent corresponding angles D π π; congruent alternating exterior angles 9

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 61. Multiple Choice. If 4 10 determine which lines are parallel. State the postulate or theorem that justifies your answer. A π π; congruent corresponding angles B π π; congruent alternating exterior angles C π π; congruent corresponding angles D π π; congruent alternating exterior angles For problems 62 and 63 refer to the picture below, 62. Which angle relationship justifies π π? A 8 12 B 7 4 C π 13 π 14 180 D π 6 π 10 180 63. Which angle relationship justifies π‘ β? A 5 13 B 1 3 C π 15 π 16 180 D 8 16 β‘ and πΆπ· β‘ are parallel, perpendicular, or neither. 64. Determine whether π΄π΅ π) π΄(1,11), π΅( 4,0), πΆ( 7,6), π·(5,6) b) π΄(3,10), π΅( 3,1), πΆ( 3,9), π·(6,3) y y 11 10 9 8 7 6 5 4 3 2 1 β11β10β9 β8 β7 β6 β5 β4 β3 β2 β1 β2 β3 β4 β5 β6 β7 β8 β9 β10 β11 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 x β11β10β9 β8 β7 β6 β5 β4 β3 β2 β1 β2 β3 β4 β5 β6 β7 β8 β9 β10 β11 1 2 3 4 5 6 7 8 9 10 11 x 10

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 65. Using special right triangle relationships solve each of the following for a and b. A) a b B) a b a 45o 45o 7 b 18 C) a b D) a b 9 3 a a b 60o b a b 60o 22 Chapter 4 66. Classify each triangle by its sides AND angles. If sides look different lengths or an angle appears to be obtuse or acute you may assume itβs true. a) B) 120o c) d) 60o 60o 60o 67. Find x and the length of each side if triangle FGH is equilateral. X FG G 3x 10 5x-8 FH GH F 4x 1 H 11

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 68. ΞLMN is an isosceles triangle, with base MN. LM 3x 2, LN 2x 1, and MN 5x 2. Find the perimeter of the triangle. M L N 69. The rhombus QRST is made of two congruent isosceles triangles. Given m QRS 28, what is the measure of S? 70. Identify the type of congruence transformation for each picture below. (Reflection, Translation, or Rotation) a) B) c) y y x y x x 71. In ABC at the right, what is the measure of A? 12

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 72. Find the measure of each angle. m 1 m 2 m 3 m 4 m 5 m 6 m 7 m 8 73. Find the measure of each numbered angle. m 1 m 2 m 3 74. Find the measure of each numbered angle. m 1 m 2 m 3 75. Find the measure of each numbered angle. m 1 m 2 76. Provide a proper congruence statement for the figure below. 13

Name Date Hour Geometry 1st Semester Exam Review 2014-2015 β Part 2 During Exams Due the day of the exam 77. If Ξπππ ΞHAT give the segment or angle that corresponds to each of the following a. πππ b. π c. ΜΜΜΜ ππ d. ΜΜΜΜ ππ΄ 78. If πΏππ πππ , π πΏ 45, π π 10π₯ 2 , π π 82, and π π 5π¦ 7, then find x and y. 79. If Ξπππ ΞHAT, UN 6 inches, HA 4 inches, π π 120π , and π π΄ 25π , then find a) SU b) π π c) π π 14

1. Name 3 collinear points. 2. Name 3 points that are not collinear. 3. Name 3 coplanar points. 4. Name line p as many ways as possible. 5. Give another name for plane R. 6. Is plane EDF a correct name for plane R? 7. Is β‘ another name for line n? 8. Name a point not contained in a line. 9. Where do lines p and n intersect? 10.

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