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6. Find x and AB if B is between A and C, AB = 3x, BC = 14, and AC = 41. ANSWER: 9; 27 Chapter 1 Refer to the figure. 7. PLAYGROUND The pivot or midpoint of a seesaw on a playground is 13.5 feet from the swing set. If the swing set is 8 feet from the edge of the seesaw when the seesaw is level, how long is the seesaw. ANSWER: 11 ft 1. How many planes are shown in this figure? 8. Find the coordinates of M if N(1.5, 2.5) is the midpoint of and P has coordinates (6, 9). ANSWER: (–3, –4) ANSWER: 6 Copy the diagram shown, and extend each ray. Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree. 2. Name the intersection of plane ADE with plane . ANSWER: 3. Name two noncoplanar lines that do not intersect. ANSWER: Sample answer: lines and Find the measurement of each segment. Assume that each figure is not drawn to scale. 9. ANSWER: obtuse; 100 4. 10. ANSWER: right; 90 ANSWER: 6.7 cm 11. ANSWER: acute; 25 5. ANSWER: 7.8 mm 12. SPORTS When a ball is bounced on a smooth surface, the angles formed by the path of the ball are congruent. If the path of a ball forms a 53° angle with the floor, find . 6. Find x and AB if B is between A and C, AB = 3x, BC = 14, and AC = 41. ANSWER: 9; 27 7. PLAYGROUND The pivot or midpoint of a seesaw on a playground is 13.5 feet from the swing set. If the swing is 8 feet from the edge of the seesaw eSolutions Manual set - Powered by Cognero when the seesaw is level, how long is the seesaw. ANSWER: ANSWER: 74 Determine whether each statement can be assumed from the figure. Explain. Page 1 ANSWER: Chapter 1 74 Determine whether each statement can be assumed from the figure. Explain. 13. and are vertical angles. ANSWER: Yes; the angles are nonadjacent angles formed by two intersecting lines. 14. is perpendicular to ANSWER: No; is not a right angle. eSolutions Manual - Powered by Cognero Page 2