1. What is the rule about parallel slopes?
  2. What is the rule about perpendicular slopes?
  3. Give the slope of the line perpendicular to .
  4. Give the equation of that line passing through the point (0, 5).
  5. What is the midpoint of the line segment EZ with coordinates E(-7, -3) and Z(13, 11).
  6. Given the quadrilateral ABCD with coordinates A(-2, 10), B( 3, 6), C(6, -3), and D(-4, 5).
  7. Show whether or not ABCD is a Trapezoid (a quadrilateral with at least one set of parallel sides).
  8. Show whether or not ABCD is a Parallelogram.
  9. Write the equation for the line passing through the points A and D.
  10. Write the equation for the line passing through the points B and C.
  11. Given the Trapezoid EFGH with coordinates E(-4,4), F(2,2), G(5,-5), and H(-10,0).
  12. Graph the four points and draw the trapezoid.
  13. Find the midpoints of Segments HE and FG.
  14. Find the distance between the two midpoints you just found.
  15. In Baseball, the infield has 90 Feet between the bases. A batter hits an infield fly that is caught at the exact middle of the infield.
  16. How far is this location from home plate in feet?
  17. If the center of the pitcher’s mound is located 60 Feet and 6 inches (60.5 feet) from home plate, does the ball land exactly in the center of the pitcher’s mound?
  18. Find the equation of the line with slope m=3/4 and passes through the y-axis at (0,-2)
  19. Find the equation of the line that is perpendicular to that line and passes through the same y-intercept.
  20. Find the midpoint of the line RT which has coordinates R(-1023, 540) and T(2075, -396).
  21. Find the slope of line RT.
  22. Find the distance of Segment RT.
  23. Given the line XY with coordinates X(3, 5) and Y(7, -1):
  24. Graph EVERYTHING in this problem.
  25. Find the slope of the line XY.
  26. Find the slope of a line that is perpendicular to that line.
  27. Find the equation of the line that is perpendicular to that line and passes through point X.
  28. Find the equation of the line that is perpendicular to that line and passes through point Y.
  29. Choose a Point on one of those lines and works in the equation and name it Z and graph that point.
  30. Find and graph the equation of the line that passes through this new point Z and is parallel to Line XY.
  31. You should see a rectangle formed by these lines.
  32. Find the fourth point of the quadrilateral formed on your graph algebraically.
  33. You can find this by finding the intersection of the two lines to find this final point.
  34. Given the points M(-3, 3), N(-5, -5), and R(4, 4).
  35. Graph the points
  36. Find the slope of the lines MN and MR.
  37. Find the length of lines MN and MR
  38. Find the equation of the line passing through point R that is parallel to line MN.
  39. Find the equation of the line passing through point N that is parallel to line MR.
  40. Find the intersection of the lines found in parts d and e, and name this point S.
  41. Does this form a Parallelogram? Why or why not?