Construct a line perpendicular to the line below that passes through point R.

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elp, ples LE ook s. s S e T s H s WRIG Cla #8 EOU Review Name #8R Name an angle or angles in the diagram described by each of the following. 1. Supplementary to Ð AOD 2. Adjacent & congruent to Ð AOE 3. A pair of vertical angles 4. Complementary to Ð EOD ID: 1 (8-2)A Segments Angles Angle Bisectors Name W y2d02114t DKzuKtNav osjobfnt0wdaor0ef wlzlccq.i x GAZl9l8 mr8imgahqt0sd zrueqsiesrivnetdx.p Use the diagram to find the measure of each of the following angles. Construct a line segment congruent to each given line segment. 5. Ð EOC 6. Ð DOC 7. Ð BOC 8. Ð AOB 1) 2) 9. 10. Construct a line segment whose length is equal to the sum of the lengths of the given line segments. 3) 4) Construct a line segment the given number of times longer than the given segment. 5) 11. 2 times as long 6) 12. 3 times as long Construct a copy of each angle given. 7) 13. 8) 14. Construct the bisector of each angle. 11) Construct the bisector of each angle. 15. 11) 12) 9) 10) 10.2c (refine) Scalar Multiplication 10.2c (refine) Scalar Multiplication Graph the scalar multiple of each vector. Graph the scalar multiple of each vector. 1. 3u 2. 1. 3u 2. 10.2c 13) (refine) Scalar Multiplication Graph the scalar multiple of each vector. 14) 16. 13) 15) 3. -4v 3. -4v

Construct a line perpendicular to the line below that passes through point R. 17. 3. 18. 4. 19. 11. 1. Construct a line perpendicular to the lines below that pass through point M. 20. 16. 1. Draw the perpendicular bisector of both of the 21. 17. 2. Construct the four perpendicular bisectors of the two line segments. sides of the rectangle below. 22. 7. Construct a line parallel to the one below that 23. 8. Construct a line parallel to the one below that passes through the point R. passes through the point R. R R

24. Create a circle using a compass and straightedge to find the center. 25. Construct an equilateral triangle inscribed in a circle. True or False: 26. 2. The length of the arrow represents the direction, while the direction in which it points represents the magnitude. 27. 3. A two-dimensional vector v is an ordered pair of real numbers, denoted in component form as ab,. Sketch the vector and find the magnitude. 28. 12. v 3, 4 29. 13. v 5, 2 30. 14. v 2, 4 Find the magnitude of each. 31. 18. t 7, 24 32. 19. u 12,15 33. 20. w 36, 15 Solve each problem. 34. 21. Suppose a plane is traveling east at 110 km/hr with a headwind of 20 km/hr. Model the situation with vectors and find the resulting speed of the plane. 35. 22. Suppose a plane is traveling east at 110 km/hr with a tailwind of 20 km/hr. Model the situation with vectors and find the resulting speed of the plane.

Graph the scalar multiple of each vector. 36. 1. 3u 37. 2. 38. 3. -4v For problems 10 15, use the following v 3, 2, u 4,1 and w 3, 6. Find the magnitude of the new vector. Round to the nearest thousandths. 39. 10. 4u 40. 11. -3v 41. 12. w 42. 13. 3v 4u 43. 14. -5u + 12w 44. 15. 6v + 2w Find the new vector by following the directions below. Then graph the transformed vector. 45. 2. Dilate w 3,9 by a factor of 1 46. 4. Rotate t 2,3 using 3 2 0 0 2 Find the new vector by reflecting the original. Graph the transformed vector, then describe the results. 47. 5. Reflect v 2,5 across the 48. 6. Reflect w 1, 4 across the x 49. 7. Reflect t 4, 6 across the origin axis y axis

Use determinants to find the area of the triangle and parallelogram. 8. triangle with vertices (1, 4), (2, -5), and (-6, -6) 50. 51. 11. parallelogram with vertices (1, -1), (4, -2), (5, 2) and (2, 3) Construct a hexagon inscribed in a given circle with a compass and straightedge. 52.

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