Pre-Test Name Date 1. Can skew lines be coplanar? Explain. 2. Point D is at the center of a circle. Points A, B, and C are on the same arc of the circle. What can you say about the lengths of AD, BD, and CD? Explain. 3. Points E, F, G, and H are all in plane S. Can EF and GH be skew? Explain your reasoning. 4. An arc of a circle contains points J, K, and L. The circle has center M. The length of JM is 6 centimeters. What is the length of LM? Explain your reasoning. 5. Explain how OP is different from PO. Explain how they are related. 6. Explain the difference between a line segment, a ray, and a line. Chapter 9 Assessments 1179
Pre-Test page 2 7. The measure of ABC is 88. Ray BD bisects ABC. What are the measures of ABD and DBC? Are these two angles congruent? Explain. 8. Use a protractor to draw an angle that measures 30 degrees. 9. The measure of RST is 46. What is the measure of an angle supplementary to RST? What is the measure of an angle complementary to RST? 10. Line segment XY has a length of 16 units. Point Z is the midpoint of XY. Point V is the midpoint of XZ. What is the length of XV? What line segment is congruent to XV? 11. Explain how to construct a perpendicular line through a given point on another line. 1180 Chapter 9 Assessments
Post-Test Name Date 1. Can coplanar lines be skew? Explain. 2. A circle with center E and line segments have been drawn. The lengths of FE, GE, and HE are all different from each other. Is it possible for points F, G, and H to be on the same arc of the circle with center E? Explain. 3. Can skew lines intersect? Explain your answer. 4. An arc of a circle contains points A, B, and C. The circle has center D. The length of DA is 9 inches. What is the length of DC? Explain your reasoning. 5. Sketch AB. Then sketch BA. Explain your reasoning. 6. Can a line segment be part of a ray? Can a ray be part of a line segment? Explain. Chapter 9 Assessments 1181
Post-Test page 2 7. The measure of QRS is 64. Ray RT bisects QRS. What are the measures of QRT and TRS? Are these two angles congruent? Explain. 8. Use a protractor to draw an angle that measures 50 degrees. 9. The measure of /UVW is 23. What is the measure of an angle supplementary to /UVW? What is the measure of an angle complementary to /UVW? 10. Line segment MN has a length of 20. Point O is the midpoint of MN. Point P is the midpoint of MO. What is the length of MP? What line segment is congruent to MP? 11. Explain how to construct a perpendicular line through a given point not on the line. 1182 Chapter 9 Assessments
End of Chapter Test Name Date 1. Ahmed made a sketch and a drawing of a building. Which image is the sketch, and which image is the drawing? How can you tell? A B 2. Kim looked at the following two lines. She concluded that line m is longer than line n. Is she correct? Explain your answer. m n 3. Wendy made the following drawing of a sun catcher. B A C D E F a. List all the named points in Wendy s drawing. b. List all the line segments in Wendy s drawing. 4. Mark draws three radii from the center of a circle to different points on the circle. The length of the first radius is 2 centimeters. What is the sum of the lengths of all three radii? Explain your reasoning. Chapter 9 Assessments 1183
End of Chapter Test page 2 5. Ori drew the following figure that he plans to engrave on a metal plate. A B C D E F G H a. List all the rays in Ori s figure. Do not include straight angles. b. List all the angles in Ori s figure. Do not include straight angles. 6. Sarah draws six angles. Angle A is acute. Angle B is obtuse. Angle C is right. Angle D is straight. Angle E is congruent to B. Angle F is congruent to A. Sarah measures one angle to be 43. What angle or angles could she have measured? Explain your reasoning. 7. Angle TUV is bisected by UW. The measure of TUW is 53. a. What is m WUV? Explain your reasoning. b. What is m TUV? Explain your reasoning. 8. Nadir measures an angle with a protractor. One side of the angle is aligned with the bottom of the protractor. The other side of the angle passes through the mark that reads 120 and 60. The angle is obtuse. What is the measure of the angle? Explain your reasoning. 1184 Chapter 9 Assessments
End of Chapter Test page 3 Name Date Use a protractor to draw an angle with the given measure. 9. 45 angle 10. 125 angle 11. The figure shown includes pairs of supplementary angles and pairs of vertical angles. 5 6 8 7 1 2 4 3 a. The measure of 1 is 85. What are m 2, m 3, and m 4? Explain your reasoning. b. The measure of 5 is 80. Name a linear pair that includes 5. Write the measure of each angle in the linear pair. Chapter 9 Assessments 1185
End of Chapter Test page 4 12. Elm Street, Continental Road, and Jefferson Avenue intersect at one point on the map shown. Elm Street and Continental Road are perpendicular to each other. Elm Jefferson 2 Continental 1 3 6 4 5 a. What is m 1? b. The measure of 2 is 50. What is m 3? c. What angle is congruent to 6? d. What two angles are complementary to 6? 13. The measure of ABC is 72 degrees. A B C a. Draw ABD so that it is adjacent and supplementary to ABC. Explain your reasoning. b. Is ABD an acute, obtuse, right, or straight angle? Explain your reasoning. 1186 Chapter 9 Assessments
Standardized Test Practice Name Date 1. Ray MN and ML are two sides of an angle. What is a name of this angle? a. MNL b. LNM c. NML d. NLM 2. The measure of B is 68. What is the measure of its supplementary angle? a. 22 b. 90 c. 112 d. 180 3. Angle ABC measures 120. Angle DBC bisects ABC. Angle EBC bisects DBC. What is the measure of EBC? a. 30 b. 60 c. 90 d. 120 4. Terry measured an angle with a protractor. She aligned one side with the bottom of the protractor. The other side passes through the mark that reads 110 and 70. The angle is acute. What is the measure of the angle? a. 40 b. 70 c. 110 d. 180 5. Which of the following has zero width and an infinite length? a. a point b. a line segment c. a line d. a plane Chapter 9 Assessments 1187
Standardized Test Practice page 2 6. Line segment AB is perpendicular to CB. Ray BD bisects ABC. What is m DBC? a. 22.5 b. 45 c. 67.5 d. 90 7. A ray bisects an obtuse angle into two congruent angles. What type of angles are these two congruent angles? a. acute b. right c. obtuse d. straight 8. Ray EF contains points G and H. What is the endpoint of EF? a. E b. F c. G d. H 9. The midpoint of XZ is Y. The length of XY is 4 centimeters. What is the length of YZ? a. 4 cm b. 6 cm c. 8 cm d. 10 cm 10. Which is not a name for the angle shown? C D E a. CDE b. EDC c. D d. C 1188 Chapter 9 Assessments
Standardized Test Practice page 3 Name Date 11. Frank has a compass but no straightedge. Which of the following can Frank construct with just the compass? a. a triangle b. a square c. a hexagon d. a circle 12. Angle V and W are a linear pair. What do you know about these angles? a. They are complementary angles. b. They are congruent angles. c. They are vertical angles. d. They are adjacent angles. 13. John measures an angle with a protractor. He aligned one side with the bottom of the protractor. The other side passes through the mark that reads 135 and 45. The angle is obtuse. What is the measure of the angle? a. 45 b. 90 c. 135 d. 180 14. Which tools are used to construct a geometric figure? a. straightedge and protractor b. straightedge and compass c. protractor and compass d. No tools are needed. 15. Line segment AB has a length of 24 units. Point C is the midpoint of AB. Point D is the midpoint of AC. What is the length of CD? a. 6 units b. 12 units c. 24 units d. 48 units Chapter 9 Assessments 1189
Standardized Test Practice page 4 16. What is the measure of a straight angle? a. less than 90 b. greater than 90 c. 90 d. 180 17. The measure of M is 57. What is the measure of its complementary angle? a. 33 b. 90 c. 123 d. 180 18. Which describes a location in space? a. a point b. a line segment c. a line d. a plane 19. Angle A is congruent to B. Angle A measures 60. What is the measure of B? a. 30 b. 60 c. 120 d. 180 20. What is the first step to duplicate a given line segment AB? a. Label point C on AB. b. Draw a starter line. c. Set your compass at length AB. d. Place the compass at C. 1190 Chapter 9 Assessments