<p>Unit 3 Practice Quiz Pascal’s Triangle Questions</p><p>1. What is the 4th term in the expansion of (a + b)9? 1. ______</p><p>2. What is the coefficient of the 4th term in the expansion of (a + b)9? 2. ______</p><p>3. What are the variables of the 4th term in the expansion of (a + b)9? 3. ______</p><p>4. What is the 3rd term in the expansion of (3a + 2b)5? 4. ______</p><p>5. What is the coefficient of the 10th term in the expansion of (a + b)9? 5. ______</p><p>6. What are the variables of the 34th term in the expansion of (a + b)95? 6. ______</p><p>Odds Questions</p><p>7. There are 12 marbles in a bag: 2 blue, 3 white, 6 yellow, 1 red. What are the </p><p> odds of drawing a white or yellow ball from the bag? 7. ______</p><p>8. Using the same bag as in 7, what are the odds of drawing a red, white, or blue </p><p> from the bag? 8. ______</p><p>Fano’s Geometry</p><p>9. How many Axioms are in the geometry? 9. ______</p><p>10. How many lines are in the geometry? 10. ______</p><p>11. Do the lines in the geometry have to be straight? 11. ______</p><p>12. Are there any parallel lines in the geometry? 12. ______</p><p>13. Draw a representation of the geometry. 13. ______</p><p>Given the following: 14. a.______ There exists exactly three distinct points in the geometry.  Two distinct points are on exactly one line. b.______ Not all the points of the geometry are on the same line.  Two distinct lines are on at least one point. c.______14. Rewrite the above using tree for point, row for line, and forest for geometry. d.______15. What does QED mean? 15. ______Patty Paper Geometry</p><p>16. How many lines can be constructed through one point? 16. ______</p><p>17. How many lines can be constructed through two points? 17. ______</p><p>18. Construct a perpendicular bisector for any random but fixed line segment. 18. ______</p><p>19. Construct the angle bisector for any random but fixed angle. 19. ______</p><p>20. Construct the Centroid for any random but fixed triangle. 20. ______</p><p>21. Construct the Circumcenter for any random but fixed triangle. 21. ______</p><p>22. Construct the Incenter for any random but fixed triangle. 22. ______</p><p>Invariants</p><p>23. The diagonal of a rectangle inscribed in a circle is always a ______. 23. ______</p><p>24. The diagonals of any quadrilateral ABCD intersect at E so that AE(EC) 24. ______has what relationship to DE(EB)?</p><p>25. A triangle inscribe inside a semi-circle is always what kind of triangle? 25. ______</p><p>26. The medians of a triangle form a point of concurrency called ______. 26. ______</p><p>27. The altitudes of a triangle form a point of concurrency called ______. 27. ______</p><p>28. The perpendicular bisectors of a triangle form a point of concurrency called ______. 28. ______</p><p>29. The angle bisectors of a triangle form a point of concurrency called ______. 29. ______30. Which of the four points of triangle concurrency are NOT on Euler’s line? 30. ______What’s My Angle</p><p>31. What is the sum of the interior angles of a triangle? 31. ______</p><p>32. What is the sum of the interior angles of a hexagon? 32. ______</p><p>33. What is the sum of the interior angles of an n-gon? 33. ______</p><p>34. What is the sum of the exterior angles of an octagon? 34. ______</p><p>35. What is the sum of the exterior angles of an n-gon? 35. ______</p><p>36. If I can make 3 triangles inside a figure connecting vertices, how many sides does it have? 36. ______</p><p>37. If I can make 7 triangles inside a figure connecting vertices, how many sides does it have? 37. ______</p><p>38. If I can make n triangles inside a figure connecting vertices, how many sides does it have? 38. ______Cross Words</p><p>39. Rotate the following 90o counter-clockwise:  39. ______</p><p> o 40. ______40. Rotate the following 90 clockwise: ↯ 41. ______41. Rotate the following 180o counter-clockwise:  42. ______42. Rotate the following 180o clockwise: ↯ 43. ______43. Rotate the following 270o counter-clockwise:  44. ______44. Rotate the following 270o clockwise: ↯ 45. ______45. Reflect the following vertically:  46. ______46. Reflect the following horizontally: ↯ 47. ______47. Reflect the following diagonally (y = x):  48. ______</p><p>48. Reflect the following diagonally (y = -x): ↯</p><p>Taxicab Geometry 49. ______</p><p>49. What does a circle look like in taxicab geometry? 50. ______</p><p>50. If I am at 300 South 900 West, how far away is my hotel at 200 North 500 East?</p>