1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Parallelograms RectanglesRhombiSquaresTrapezoids

2. Parallelograms - $100 A BC D E BE = 16 ED = 2x + 4 AE = 5x – 14 FIND BD Use parallelogram ABCD to answer the following:

3. BD = 32

4. Parallelograms - $200 A BC D E AB = 4x – 2 BC = 6x – 8 CD = 5x – 8 FIND x Use parallelogram ABCD to answer the following:

5. X = 6

6. Parallelograms - $300 A BC D E m  BAD = 5x + 15  m  ABC = 10y - 5  m  BCD = 7x - 5  FIND m  CDA Use parallelogram ABCD to answer the following:

7. m  CDA = 115 

8. Parallelograms - $400 Determine if the following four points are the vertices of a parallelogram: A(-8,-2) B(-4,6) C(4,5) D(0,-2)

9. No

10. Parallelograms - $500 Determine the possible coordinates for the fourth vertex, if the following coordinates are three vertices of a parallelogram. (-5,2) (3,4) (1,-4) (1,-4) (3,4) (-5,2)

11. (9,-2) (-7,-6) (-3,10)

12. If ET = 29, then CS = ? E R T C S

14. E R T C S If m  RES = 3x + 2  and m  CES = 7x - 12 , then x = ?

15. 10

16. E R T C S If m  STR = 16 , then m  ESR = ?

17. 32 

18. E R T C S If ST = x 2 – 3x and ES = 2x + 6, then x = ?

19. -1 and 6

20. E R T C S If EC = 3x + 4y, RE = 5x + 3y, RT = 12, and CT = 31, then x and y = ?

21. x = 8 and y = -3

22. R B M O H If BO = 8.5, then RO = ?

23. 17

24. R B M O H If m  RMB = 61 , then m  RHO = ?

25. 122 

26. R B M O H If m  BRH = 3x + 5  and m  OHB = 4x - 13 , then x = ?

27. 14

28. R B M O H If m  HBR = x 2 – 8x + 42 , then x = ?

29. -4 or 12

30. R B M O H If m  ORM = 2x + 3y , m  MRH = 54 , MO = 9x – 2y, and RH = 13, then x and y = ?

31. x = 3 and y = 7

32. Squares - $100 Use the square below to answer the following: A B C D E m  CBE = 5x  Find x

33. X = 9

34. Squares - $200 Use the square below to answer the following: A B C D E BE = 4x – 3 CA = 5x + 12Find BD

35. BD = 42

36. Squares - $300 Use the square below to answer the following: A B C D E AB = x 2 - 4x BC = 8 – 2xFind x

37. X = -2

38. Squares - $400 Use the square below to answer the following: A B C D E m  BAD = 5x + 3y  AB = 2x – 8 AD = y + 17Find x and y

39. X = 15 y = 5

40. Squares - $500 Determine if the following four points are the vertices of a squares: A(-8,-2) B(-4,6) C(6,1) D(2,-7)

41. No

42. Trapezoids - $100 Use the trapezoid below to answer the following if ZD is the median T P A R Z D RA = 4x – 8 ZD = 34 TP = 6x + 2Find x

43. X = 4

44. Trapezoids - $200 Use the trapezoid below to answer the following, ZD is the median. T PA R Z D RA = 3y + 9 ZD = 5y - 3 TP = 34Find y

45. Y = 7

46. Trapezoids - $300 Use the trapezoid below to answer the following: T P A R Z D m  RTP = 9x + 8  m  TZD = 6x + 52  Find m  R

47. m  R = 100 

48. Trapezoids - $400 Use the isosceles trapezoid below to answer the following: T P A R Z D RA = x + 7 RT = 2x - 2 ZD = 15AD = y - 3 TP = 3y + 5Find x and y

49. X = 3 y = 5

50. Trapezoids - $500 A(-4,6) B(-1,5) C(-2,-1) D(8,1) Determine if the following are the vertices of a trapezoid and if so, is it an isosceles trapezoid?

51. Trapezoid (Not Isosceles)