1. Given That Point Y Is Between X and Z. If XY = 3X-5 and YZ = X+11. Find X

Geometry Final Review

1.  Given that point Y is between X and Z. If XY = 3x-5 and YZ = x+11. Find x

2.  Given that point M is between L and N. If LM = 4x +7 and MN = x + 25

3.  Given the ordered pairs A(-1,4) and B(3, -6), find AB. (distance formula or Pythagorean theorem)

4.  Given the ordered pairs H(-2,-8) and J(2,5), find HJ. (distance formula or Pythagorean theorem)

5.  Given the ordered pairs A(-1,4) and B(3,-6), find the midpoint of AB.

6.  Given the ordered pairs H(-2,-8) and J(2,5), find the midpoint of HJ.

7.  If <1=4x-54 and <3 =x+135. Find x

8.  If <3=3x+42 and <4=2x+103. Find x

9.  If <2=5x-22 and <4=3x+92. Find m<4.

10.  If <1=3x+121 and <2=7x+9. Find m<3.

11.  Using the diagram to the right, find x. 12.Using the diagram to the right, find mÐUCS =

Use the drawing for problems 13-15. (Picture not drawn to scale)

13. If bisects ÐGTR and mÐGTE= 63°,

find mÐETR = ______

14. If mÐETR = 5x - 4, mÐRTA= 2x +13, and mÐETA = 114°,

find x.

15. If ÐRTE @ ÐETG, AND mÐGTK = 74°, find mÐETR ?

For 16-19 use the diagram on the right.

16. If mÐ2 = 146°, then mÐ5 =

17. If mÐ4 = 56°, then mÐ8 =

18. If mÐ2 = 104°, then mÐ4 =

19. If mÐ1 = 68°, then mÐ8 =

For problems 20 – 23, l and m are parallel, find the value of the requested value. SHOW WORK!

20. If mÐ4 = & mÐ5 =, then x =

21. If mÐ3 = & mÐ7 =, then mÐ3 =

22. If mÐ3 = & mÐ5 = , then mÐ8 =

23. If mÐ2 = & mÐ7 = , then mÐ1 =______

For 24 use the diagram on the right.

24. a. Name a pair of consecutive interior angles.

b. Name a pair of corresponding angles.

c. Name a pair of alternate interior angles.

d. Name a pair of vertical angles.

e. Name a pair of alternate exterior angles.

f. Name a linear pair.

For questions 25-28, use rectangle DARN. If , then

25. mÐASR =

26. If mÐARN = 5x + 35, then x = ______.

27. If RN = 2x – 4, AR = 8, DA = 24, then x = ______

28. If DS = 4x - 8, NS = 2x + 12, then x =

For questions 29–32, use square WART.

29. mÐARP =

30. If AP = 11, WR =

31. If mÐWTR = 5x + 60, then x =

32. If AW = 4x + 10 and WT = 2x + 30, then x = ______

For questions 33-38, use the parallelogram SPAM.

33. ||

34.

35. If PM = 4.2, then PD =

36. If , then

37. If SA = x + 21 and DA = 35, then x =

38. If SM = 3x+14 and PA = 41, then x =

39. Find the area and perimeter of the rectangle.

40. Find the area and perimeter of the square.

41. The perimeter of a square ABCD is 128 inches and BC=2x-8. What is the value of x?

42. The area of the rectangle is 70 square units. Find the value of x.

43. If the area of a square is 40 in2 what is the length of the side of the square?

44. What is the slope of a line parallel to the line 4x-3y=8?

45. What is the slope between the points R(-3,5) and S(6,-1)?

46. What is the slope of a line perpendicular to the line between L(-2,-6) and O(3,-1)?

47. What is the slope of the line with the equation 3x-4y=10?

Write a rule for the following transformation

48. 50.

49.