Chapter 3 Test B Use the figure to find the measure of the angle. Explain your reasoning. 1. 2. 3. 4. Find the measures of the interior angles. 5. 6. Find the measure of the exterior angle. 7. 8. Find the sum of the interior angle measures of the polygon. 9. 10. Find the measures of the interior angles of the polygon. 11. 12. Find the measures of the exterior angles of the polygon. 13. 14. 15. Tell whether the triangles are similar. Explain. 16. The measures of the acute angles of a right triangle have a ratio of 2 : 7. What is the measure of the smaller angle? 17. Five angles of a hexagon measures Find the sixth angle measure. 18. You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse? Chapter 3 Test B Answer Section 1. ANS: ; The angles are alternate exterior angles. PTS: 1 DIF: Level 1 REF: Ch 3 Test B KEY: parallel lines | alternate exterior angles 2. ANS: Sample answer: and are supplementary, so NAT: 8.G.5 MSC: Knowledge PTS: 1 DIF: Level 1 REF: Ch 3 Test B NAT: 8.G.5 KEY: parallel lines | alternate exterior angles | vertical angles | corresponding angles MSC: Knowledge 3. ANS: The angle and the are corresponding angles. PTS: 1 DIF: Level 1 REF: Ch 3 Test B NAT: 8.G.5 KEY: parallel lines | corresponding angles MSC: Knowledge 4. ANS: The angle is supplementary to , and and are corresponding angles. PTS: 1 DIF: Level 1 REF: Ch 3 Test B KEY: parallel lines | corresponding angles 5. ANS: NAT: 8.G.5 MSC: Knowledge PTS: 1 DIF: Level 1 KEY: interior angles of a polygon 6. ANS: REF: Ch 3 Test B MSC: Knowledge NAT: 8.G.5 PTS: 1 DIF: Level 1 KEY: interior angles of a polygon 7. ANS: REF: Ch 3 Test B MSC: Knowledge NAT: 8.G.5 PTS: 1 DIF: Level 1 KEY: interior angles of a polygon 8. ANS: REF: Ch 3 Test B MSC: Knowledge NAT: 8.G.5 PTS: 1 DIF: Level 1 KEY: exterior angles of a polygon 9. ANS: REF: Ch 3 Test B MSC: Knowledge NAT: 8.G.5 PTS: 1 DIF: Level 2 KEY: interior angles of a polygon REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension 10. ANS: PTS: 1 DIF: Level 2 KEY: interior angles of a polygon 11. ANS: REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension PTS: 1 DIF: Level 2 KEY: interior angles of a polygon 12. ANS: REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension PTS: 1 DIF: Level 2 KEY: interior angles of a polygon 13. ANS: REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension PTS: 1 DIF: Level 2 KEY: exterior angles of a polygon 14. ANS: REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension PTS: 1 DIF: Level 2 REF: Ch 3 Test B NAT: 8.G.5 KEY: exterior angles of a polygon MSC: Knowledge 15. ANS: no; and , so the triangles have different angle measures. PTS: 1 DIF: Level 2 KEY: similar figures 16. ANS: PTS: 1 KEY: scale factor 17. ANS: REF: Ch 3 Test B NAT: 8.G.5 MSC: Comprehension DIF: Level 1 REF: Ch 3 Test B MSC: Comprehension NAT: 8.G.5 PTS: 1 DIF: Level 2 KEY: interior angles of a polygon 18. ANS: 250 ft REF: Ch 3 Test B MSC: Knowledge NAT: 8.G.5 PTS: 1 DIF: Level 2 KEY: similar figures REF: Ch 3 Test B MSC: Application NAT: 8.G.5