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Name: _______________________________________ Date: _________________ Period: ________
Sophomore Geometry
2016 Midyear Exam Review Packet
Part I. Fill in the blank.
_____1. Two rays that share a common endpoint form a(n) _______________.
_____2. A flat surface that extends indefinitely in all directions is a(n) ________________.
_____ 3. A triangle with no two congruent sides is classified as _____________________.
_____4. Parallel lines have slopes that are ________________________.
Part II. True/False
_____5. If a line passes through three points, the points must be collinear.
_____6. If 2 angles form a linear pair, then the must be supplementary.
_____7. The sum of the measures of two complementary angles is 90.
_____8. If 2 lines are coplanar, the lines must intersect.
_____9. A scalene triangle has two congruent sides.
For questions #10 – 17 refer to the adjacent figure:
_____10. S lies on XR .
_____11. R, T, S, and B are coplanar points.
_____12. T, R, and B are collinear points.
_____13. RS and TB intersect at X.
_____14. SX contains R.
_____15. The line that contains points A and T must lie in M.
_____16. XR and XB are opposite rays.
_____17. X lies between R and S.
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For Questions #18– 28 refer to the figure below. AD  DC ; E is the midpoint of AD . Label the
figure with this information to help you answer the following.
D
_____18. AB = BC
_____19. ADB is complementary to BDC
F
_____20. DB  AC
C
E
B
_____21. DF + FB = DB
_____22. ADC is a right angle
A
_____23. DBA is supplementary to DBC
_____24. mDCE + mECA = mDCA
_____25. DFE CFB
_____26. CE is an angle bisector.
_____27. AE = ED
_____28. If mA = 38 and  EDB   ABD then m  EDB= 70
For Questions #29 – 34 refer to the adjacent figure. j ║ k
_____29.  8  9
_____30.  6  8
12 13
_____31.  1  11
11
j
9
8
10
7
_____32.  5   7
_____33.  3  11
_____34.  13 is supplementary to  3.
2
3
4 5 6
k
1
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Part III. Fill in the blank with: Always, Sometimes, or Never
35. A bisector of a segment ________________ intersects the segment at its midpoint.
36. If a triangle is scalene, then two of its angles are ________________ congruent.
37. If an angle is acute then its complement is ________________ acute.
38. If a triangle is equilateral, then it is ________________ an acute triangle.
39. A ray _______________ has one endpoint.
40. An isosceles triangle is ___________ equilateral.
41. If two angles are supplementary, then they are ________________ adjacent.
42. The supplement of an acute angle is _______________ obtuse.
Part IV. Calculations.
43. Find the distance between the points (-10, 2) and (-7, 6)
50. ________
44. Find the slope of the line through (-1, 7) and (4, 2)
51. ________
45. The measures of two supplementary angles are (x - 4) and (2x - 5). Find x.
52. ________
46. Two angles are both congruent and complementary. Find their measure.
53. ________
47. The measures of two vertical angles are (3x +11) and (7x – 1). Find x.
54. ________
48. An angle has measure x. The complement of the angle has a measure
of x + 20. Find x.
55. ________
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49. Line t has an equation of 2x – 5y = 10. Find the slope of the line that is
parallel to line t and the line that is perpendicular to line t.
56. ║_______
_______
50. Solve for x.
57. ________
7x – 24
5x + 14
51. Solve for x.
58. _______
x+7
112
2x + 15
52. Solve for x.
5x + 2
59. ________
3x + 8
32
32
A
53. m1 = 35
m2 = 25
Find mABC.
60. ________
1
B
K
2
C
54. Solve for x. j ║ k
61. ________
k
2x - 6
j
92
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55. Solve for x.
62. ________
x
2x - 12
56. Solve for x.
3x - 8
64. ________
7x + 3
57. If x = 4 is a ║ b? Explain.
6x - 2
a
b
3x + 7
58. Name all of the corresponding parts for the following congruent triangles. (3 pts)
ΔBIG  ΔDOT
____________
____________
____________
____________
____________
____________
For Questions #59 - 60 refer to the figure at the right.
59. If LT  LS , name two congruent angles.
_______________
60. If  9   10, name two congruent segments. _________________
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61. Find each angle if the m  1 is 28 º. (1 pt each angle)
7
6
2
1
m  3 =________
m  5 =________
3
4
8
5
m  7 =________
m  8 =________
For Questions # 62 – 69 refer to the figure: AB  AD ; AB  BC ; m1 = 35; m10 = 120
62. m2 = ______
66. m6 = ______
63. m3 = ______
67. m7 = ______
64. m4 = ______
68. m8 = ______
9
D
3
10
4
65. m5 = ______
C
69. m9 = ______
2
5
6
1
A
7
8
B
For Questions #70 – 74 find the missing information. If none, write none.
( ASA, SSS, AAS, SAS, HL or none)
70. BD is an angle bisector
AB  CB
ABD   ________ by __________
71. X is the midpoint of ZM and YP
PXM   ________ by __________
72. DW  RK
KW  RW
KDW   ________ by __________
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73. AB || CD , E is the midpoint of AD
CED   ________ by __________
74. TG bisects FTH and FGH
THG   ________ by __________
For #75– 76 use the figure to the right. CX bisects AB at X and CD bisects XB at Y.
H
75. AX = 3n + 12, XB = 4n – 2
Find the value for n and the measure of AB.
n
C
= ______
Y
AB = ______
B
X
A
D
76. XB = 5n - 4, XY = n + 1
Find the value for n and the measure of YB.
n
= ______
YB = ______
77. Find the midpoint of the segment connecting (4, 10) and (6, -2)
92. ___________
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