PreAP Geometry (First and Last) Name:______period:_____
A#______
Rays, Angles and Lengths
Given that LH and KT intersect at the midpoint of LH. Please classify each statement as True or False
1. True/False LM ≅MH
2. True/False KM must equal MT
3. True/False TM bisects LH
4. True/False KT is a bisector of LH
5. True/False MTand MKare opposite rays
6. True/False MTand TMare opposite rays
7. True/False LH is the same as HL
8. True/False KT is the same as KM
9. True/False KT is the same as KM
10. True/False KM is the same as KT
11. True/False HM + ML = HL
12. True/False TM + MH = TH
13. True/False T is between H and M
14. True/False M is between K and T
Use the diagram to the right. Name Each of the following
15. ______The point on DA whose distance from D is 2.
16. ______The point on DG whose distance from D is 2. For #15-22
17. ______Two points whose distance from E is 2.
18.______The ray opposite to BE.
19. ______The midpoint of BF.
20. ______The coordinate of the midpoint of BD.
21. ______The coordinate of the midpoint of EA.
22.______A segment congruent to AF.
The two numbers given are coordinates of 2 points on a number line. State the distance between the points.
23. ______-6 and 9 25.______-3 and -17
24. ______-1.2 and -5.7 26. ______-2.5 and 4.6
For the following: Draw the given diagram, make sure your labels tell the story.
27. CD and RS bisect each other but are not congruent
28. CD bisects RS but RS does not bisect CD
29. CD and RS do not intersect, butCD and RS intersect.
In the diagram PR ≅RT. S is the midpoint of RT. QR = 4 and ST = 5
30. RS =______31. RT =______32. PR=______33. PQ=______
In the diagram, X is the midpoint of VZ. VW = 5, VY = 20. The coordinate of V is -12 and the coordinate of Z is 22. Find the coordinates of the following points.
34. ______W 35. ______X 36. ______Y
A#2 part 2 (First and Last) Name:______period:_____
Show your work, write equations and solve. FOR #37-43
E is the midpoint of DF. Find the value of x.
37. DE = 5x + 3, EF = 33 38. DE = 2x – 3 , EF = 5x – 24 39. DE = 3x, EF = x + 6
Find the value of y.
40. GE = y, EH = y – 1 , GH = 11 41. GE = 3y, GH = 7y – 4 , EH = 24
Find the value of z. Then find GE and EH and state whether E is the midpoint of GH.
42. GE = z + 2, GH = 20, EH = 2z – 6 43. GH = z + 6, EH = 2z – 4, GE = z
For #44-47 use the diagram to the right. Given AL bisects ∠KAT. Find the value of x
44. m∠ 3= 6x, m∠KAT = 90 – x 45. m∠ 1 = 7x + 3, m∠ 2= 6x + 7
46. m∠ 1=x , m∠ 3= 4x 47. m∠ 2 = x + 12 , m ∠ 3 = 6x – 20
OC bisects ∠ AOB, OD bisects ∠ AOC, OE bisects ∠ AOD, OF bisects ∠ AOE, and OG bisects ∠ FOC. (Draw a diagram)
48. If m ∠BOF = 120°,then m ∠DOE = ______
49. If m ∠COG = 35°,then m ∠GOE = ______