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Name _______________________________________ Date ___________________ Class __________________ Foundations for Geometry Performance Assessment Teacher Support Purpose: To assess student understanding of construction of congruent segments and angles and their bisectors Time: 15–20 minutes Grouping: Individuals or partners Preparation Hints: Review construction of congruent segments and angles. Make sure students have a straightedge, compass, and protractor. Overview: Students construct segments and angles, and measure angles to determine if two angles are complementary, supplementary, or neither. Introduce the Task: Students use their knowledge of naming segments and angles to construct congruent segments and angles. They then measure two angles to see if they are supplementary, complementary, or neither. Performance Indicators: ______ constructs a segment so that T is the midpoint ______ constructs an angle congruent to a given angle uses conventional naming of segments and angles ______ accurately measures angles ______ Scoring Rubric: Level 4: Student solves problems correctly and gives good explanations. Level 3: Student solves problems but does not give satisfactory explanations. Level 2: Student solves some problems but does not give satisfactory explanations. Level 1: Student is not able to solve any of the problems. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Foundations for Geometry Performance Assessment Demonstrate your knowledge by accurately constructing the figures with only a straightedge and a compass. 1. Construct AB so that AT is one of the segments you obtain when you bisect AB. 2. Identify the midpoint of your segment in Exercise 1 and explain how you know it is the midpoint. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ 3. Construct an angle that is congruent to /QRS and has RQ as a side. 4. Use a protractor to measure the two smallest angles in Exercise 3. Are these two angles complementary, supplementary, or neither? Explain. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Chapter Test Form B: Free Response 1. A or D 16. (4, 3) 17. Yes, AB CD. 18. 24 ft 19. rotation 20. G 2. AE or EA Performance Assessment 3. CA or CB 1. 4. A, B, and C 5. 3x 10 6. 13.5 units 7. acute 2. The midpoint is T, because I constructed AT TB. 8. 70 3. 9. Possible answers: 1 and 2, 2 and 3, or 3 and 4 10. (88 5x) 11. 59 4. Each of the two smallest angles measures 47°, and the angle formed by their noncommon sides measures 94°. Since the sum of the measures of the two angles is neither 90° nor 180°, the angles are neither complementary nor supplementary. 12. 57.76 cm2 13. 15 in2 14. 18.84 ft 15. (1, 6) 16. (3, 8) 17. 113 or about 10.6 units 18. 5 units 19. reflection 20. translation Chapter Test Form C: Free Response 1. Possible answers: Plane P , or the plane determined by G along with any two points on line n, such as ABG 2. Possible answers: EB, ED, DB, or GB 3. Sample answers: GB and AB, or AC and CB 4. D, E, and F 5. 8 units 6. 13.7 units 7. obtuse 8. 130 9. 1 and 4 10. 45 and 135 11. 40 and 50 12. 2x2 6x units2 13. 5.5 cm 14. 50 in. 15. (a, 2a) Cumulative Test 1. A 18. H 35. B 2. G 19. D 36. G 3. C 20. J 37. A 4. G 21. A 38. F 5. D 22. G 39. D 6. H 23. C 40. H 7. B 24. F 41. C 8. H 25. B 42. H 9. C 26. J 43. B 10. F 27. A 44. J 11. D 28. G 45. B 12. H 29. B 46. H 13. A 30. G 47. A 14. J 31. C 48. H 15. C 32. J 49. A 16. G 17. A 33. D 34. J 50. J 51. B Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry