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Name:________________________________________ Date:_______________________ Chapter 7 study guide Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Name four line segments that have point E as an endpoint. a. c. b. d. ____ 2. Name four rays that have point E as an endpoint. a. c. b. d. Use the figure. ____ 3. Identify a segment skew to . a. b. c. d. ____ 4. Identify a segment parallel to . a. b. c. d. ____ 5. Identify a segment that intersects . a. b. c. d. Classify the angle as acute, right, obtuse, or straight. ____ 6. a. obtuse angle b. acute angle c. straight angle d. right angle ____ 7. Which is a straight angle? a. b. c. d. ____ 8. The measure of angle A is 70.8.Find the measures of the complement and supplement of angle A. a. 19.2; 160.8 b. 19.2; 109.2 c. 160.8; 19.2 d. 109.2; 19.2 ____ 9. Find the measure of z. z 60 º a. 40° b. 120 c. 60° d. 30° ____ 10. Which angle or angles are supplementary to EOF? B C A D O F E a. AOB and DOE c. COD and AOF b. FOB and COE d. BOC and EOF ____ 11. Find the measure of m. 124º l m k a. 124 b. 28 c. 62 d. 56 Classify the triangle by its sides. ____ 12. 17 16 18 a. scalene triangle c. equilateral triangle b. isosceles triangle d. none of these ____ 13. Triangle LPQ has side lengths of 9, 20, and 15. a. isosceles triangle c. scalene triangle b. scalar triangle d. equilateral triangle Classify the triangle by its angle measures. B ____ 14. 65º A 41º 74º C a. right triangle c. obtuse triangle b. acute triangle d. multiangular triangle ____ 15. Triangle ABC has angles measuring 137, 15, and 28. a. right triangle c. multiangular triangle b. obtuse triangle d. acute triangle ____ 16. Find the value of x in the triangle. x 53º 60º a. 7 b. 293 c. 113 d. 67 ____ 17. The measures of two angles of a triangle are 147 and 17. Find the measure of the third angle. a. 164 b. 16 c. 74 d. 130 ____ 18. Find the values of x, y, and z. 51 º 60º 38º x y z a. x = 91; y = 51; z = 31 c. x = 60; y = 120; z = 31 b. x = 89; y = 91; z = 0 d. x = 91; y = 89; z = 31 ____ 19. A firefighter places a ladder against a building. The ladder forms a 47 with the ground. What is the measure of the angle between the ladder and the building? a. 34 b. 43 c. 33 d. 133 Identify the polygon and classify it as regular or irregular. ____ 20. a. quadrilateral, regular c. pentagon, irregular b. pentagon; regular d. quadrilateral, irregular ____ 21. Name a polygon with 6 sides. a. rhombus b. hexagon c. trapezoid d. octagon ____ 22. The plans for a home renovation include a new window. The home owner picked a window shaped like the one shown. Identify the polygon and classify it as regular or irregular. a. regular decagon c. irregular octagon b. regular octagon d. irregular decagon Classify the quadrilateral. ____ 23. a. square b. parallelogram c. rhombus d. trapezoid U Use the circle. R O T S ____ 25. Name all the central angles. a. URO, RUO, UTO, TUO c. ROU, UOT, ROT b. RUT, UTS, TSR, SRU d. ROU, UOT ____ 26. Name all the radii. a. c. b. d. ____ 27. Name all the diameters. a. c. b. d. ____ 28. Name all the chords. a. c. b. d. ____ 29. For circle O, name all the arcs shorter than a semicircle. D B A O C a. DBA, DB, DC, AC, AB b. BDC, DB, DC, AC, AB, BAC c. DBA, DB, DAC, AC, AB d. DB, DC, AC, AB ____ 30. The circle graph represents a family’s monthly budget. If the total monthly budget is $5,000, how much is spent on items other than food and housing? Food Other 20% 50% Housing 30% a. $1,000 b. $1,500 c. $3,500 d. $2,500 ____ 31. The number of hours required in each subject of a college preparatory core curriculum is represented by the circle graph. What percent of these hours is in Art and Math combined? a. 117% b. 243% c. 67.5% d. 32.5% ____ 32. Grade 7 students were surveyed to determine how many hours a day they spent, on average, doing various activities. The results are shown in the circle graph. About how much time do seventh-graders spend at school and eating combined? Round answers to the nearest tenth, if necessary. a. 1.9 h b. 7.9 h c. 33 h d. 6 h ____ 33. Students at the Edwards School conducted a survey to find out students’ birth places. There are 400 students in the school. Find how many students were a. born in city. b. born out of state. c. born in state, but not in city. a. a. 80 students c. a. 80 students b. 60 students b. 260 students c. 260 students c. 60 students b. a. 260 students d. a. 60 students b. 60 students b. 80 students c. 80 students c. 260 students Listed in the table is the percent of sixth grade students who chose each kind of juice at lunch time. Grape Juice 15% Orange Juice 30% Fruit Punch 25% Apple Juice 30% ____ 34. Use the table above. Find the measure of the central angle you would draw to represent apple juice in a circle graph. a. 90 b. 54 c. 108 d. 30 ____ 35. Use the information in the table below to make a circle graph. Grape Juice 15% Orange Juice 30% Fruit Punch 15% Apple Juice 40% a. c. b. d. ____ 36. Theo made this table to show the number of middle school students who attended the last football game. If this data were displayed in a circle graph, what percent of the graph would show the number of seventh graders who attended the game? Round your answer to the nearest whole number, if necessary. Grade Number of Students Attending Game 6 184 7 225 8 147 a. 40% b. 33% c. 26% d. 68% ____ 37. Find the measure of the central angle that you would draw to represent 15% in a circle graph. Round to the nearest degree. a. 54 b. 24 c. 27 d. 15 ____ 38. Find the missing measures in the graph. a. Superior: 23.6% c. Superior: 33.6% Michigan: 33.6% Michigan: 23.6% b. Superior: 43.6% d. Superior: 30% Michigan: 13.6% Michigan: 25% ____ 39. Find the measure of s. s Not drawn to scale a. 62 b. 152 c. 67 d. 147