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Transcript
Geometry Benchmark Assessment REVIEW MP1 Draw a diagram the following Two lines intersect at a ________________. Name the intersection of the two lines in the diagram below. O N M 1. What are the names of three collinear points? A D L J K B P 2. What are the names of four coplanar points? M P F C D N 3. Name the line and plane shown in the diagram. R P S Q 4. Are points C, G, and H collinear or noncollinear? 5. Are M, N, and O collinear? If so, name the line on which they lie. O N M P 6. Name the plane represented by the front of the box. ____ 7. ____ two points are collinear. A. Any B. Sometimes C. No 8. Name the ray in the figure. A B 9. What is the name of the ray that is opposite ? D C B A 10. What are the names of the segments in the figure? C B A 11. Name the intersection of plane ACG and plane BCG. 12. What is the intersection of plane STXW and plane SVUT? 13. What is the length of A ? B C D –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 14. If , find the value of FG. The drawing is not to scale. E F G 15. If , find the value of x. The drawing is not to scale. E F G 16. If Z is the midpoint of R what are x, RZ, and RT? Z T 8 x - 10 150 17. Which point is the midpoint of A B C –8 –7 –6 –5 –4 –3 –2 –1 ? D 0 1 E 2 3 4 5 6 7 8 ____ 18. Which angle is a right angle? A. C. B. D. 19. If The diagram is not to scale. 20. If then what are 21. If and , and and , find the degree measure of The diagram is not to scale. , then what is the measure of The diagram is not to scale. ____ 22. How are the two angles related? 60° 120° Drawing not to scale A. supplementary C. vertical B. adjacent D. complementary 23. Name an angle supplementary to 24. Name an angle complementary to 25. Name an angle vertical to E D F G H J I 26. Name an angle adjacent to E D F G H J I 27. Supplementary angles are two angles whose measures have a sum of ____. Complementary angles are two angles whose measures have a sum of ____. 28. The complement of an angle is 53°. What is the measure of the angle? 29. and are a linear pair. , and . Find the measure of each angle. 30. Which point is the midpoint of ? A B –8 –7 –6 –5 –4 –3 –2 –1 31. Find the midpoint of 0 1 2 3 4 5 6 7 8 Find the distance between points P and Q. y 10 P 5 –10 –5 5 10 x –5 Q –10 32. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth. ____ 33. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside? y 8 6 Seaside 4 2 –8 –6 –4 –2 –2 Landview –4 2 4 6 8 x Oceanfront –6 –8 A. about 10 miles C. about 8 miles B. about 50 miles D. about 40 miles 34. Find the perimeter of the rectangle. The drawing is not to scale. 29 ft 66 ft 35. Find the circumference of the circle to the nearest tenth. Use 3.14 for . 25 m 36. Find the circumference of the circle in terms of . 39 in. 37. Find the perimeter of with vertices A(1, 1), B(7, 1), and C(1, 9). 10 y C 5 –10 A –5 5 B –5 –10 38. Find the area of the circle in terms of . 42 in. 10 x 39. Find the area of the circle to the nearest tenth. Use 3.14 for . 9.7 in. 40. What are three other names for line p? 41. Describe a real-life example of two planes and their intersection. 42. What are three names for the angle? I K 2 J 43. What are two other names for K N 2 L ? 3 M Geometry Benchmark Assessment REVIEW MP1 Answer Section 1. Points L, J, and K are collinear. 2. Points P, M, N, and C are coplanar. 3. 4. 5. 6. 7. and plane PQS noncollinear Yes, they lie on the line MO. GBF A 8. 9. 10. The three segments are 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 13 15 x = 20, RZ = 150, and RT = 300 D C ; , 64 A 180; 90 37° 1 (2, 0) 7.8 D 190 feet 157 m 78 in. 24 units 441 in.2 73.9 in.2 40. Answers may vary. Sample: . 41. Answers may vary. Sample: two walls of a room intersecting to form a vertical corner line. 42. Answers may vary. Sample: 43. and