Download Accelerated Geometry Midterm Review 1. Name 3 collinear points 2

Accelerated Geometry Midterm Review
12. Name the intersection of plane ABC & EG
1. Name 3 collinear points
13. Name two pairs of opposite rays
14. Are A, C & and G coplanar?
15. Given m  ABC = 133°. Find m  ABD
2. Define parallel, perpendicular, and skew
3. What is the intersection of 2 planes? 2 lines?
4. Find the midpoint of C(6, 1) and D(-4, -1).
16. HK is an angle bisector. Find m  GHJ
5. Name a linear pair and a pair of vertical angles
17. What is the next number in the pattern?
6. What is the supplement and complement of 24°?
a) 17, 23, 15, 21, 13, 19
7. Find the midpoint of A(2, -4) and B(7,1).
18. Write the converse, inverse, and contrapositive
of:
8. What is the distance of:
a) Z(0, 1) & M(7, 1)
b) W(5, 3) & (-10, -5)
9. Point B is between A & C. Find AB & BC. Are
they congruent?
a) AB = x + 3
b) AB = 3x – 7
BC = 2x + 1
BC = 3x – 1
AC = 10
AC = 16
10. Solve for x and y.
b) 2, 3, 5, 7, 9, 11, 13
a) If 2 lines intersect, then they form 2 pairs of
vertical angles.
b) If it is summer then I will go to the beach.
19. Write the statement that follows from the pair
of statements.
a) If a triangle is equilateral, then it has congruent
angles. If a triangle has congruent angles, then it is
regular.
b) If all sides of a polygon are congruent, then it is
equilateral. All sides of polygon A = 5 in.
Use for 11 -14
c) If 2 coplanar lines are not parallel, then they
intersect. If 2 lines intersect, then they form
congruent vertical angles.
20.  P &  Q are supplementary. If m  P is
double m  Q, find m  P and m  Q.
Name the property.
21. m  XYZ = m  XYZ
11. Name 3 collinear points
22. If m  MNO = m  PQR, then m  PQR =
m  MNO
23. If m  K = m  H & m  H = m  B, then
m  K = m  B.
41. Are the lines parallel, perpendicular, or
equivalent?
Use for 27 – 31, use one answer for the next.
line 1: 6x – 2y = 1
line 2: x + 3y = 12
42. Are the lines with the given points parallel,
perpendicular, or neither?
a) line 1: (7,4) & (10,5)
line 2: (2, 3) & (8, 5)
b) line 1: (-3, 1) & (-2, 5) line 2: (-1, -3) & (5, -2)
27. If m  CGF = 158°, m  EGD = ?
28. If m  EGA = 67°, m  FGD = ?
29. If m  FGC = 149°, m  EGA = ?
43. Write the equation of a line through (4, 7) and
m = 2.
44. Write the equation of a line through (1, -2) and
parallel to y = -2x – 6.
30. m  DGB = ?
45. Write the equation of a line through (-7, 3) and
perpendicular to y = x + 3.
31. m  FGH = ?
46. a) Find m  ADB
b) Solve for x
Classify the angle pair, use for 32-37
47. Solve for x, then classify by angles.
a)
32.  6 & 2
33.  5 & 3
34.  1 &  5
35.  7 &  2
36.  4 &  5
37.  3 &  6
Find m  1 & m  2
38.
b)
48. Find the value of x.
39.
49. Are the triangles congruent? Why?
a)
40.
c)
b)
50. Can you use the given information to determine
if ∆ABC ≅ ∆DEF. If yes, why?
58. m  JKL = 50°. Find LM.
a)  A ≅  D, AB ≅ DE,  B ≅  E
b) AB ≅ DE, BC ≅ EF,  A ≅  D
Solve for x and y
51.
52.
List the sides and angles form least to greatest.
59.
60.
53.
61. Can a triangle be formed with sides
a) 2, 3, 4
54. Find the perimeter of ∆ABC
b) 1, 1, 2
62. What can the 3rd side of a triangle be with sides
a) 9, 8
b) 3, 9
Complete with a >, < , or =
63. LN ___ PR
64. VU __ ST
55. Find AB
65. m  WYX ___ m  WYZ
56. LN is the perpendicular bisector of JK
a) Find KN
b) Find LJ
c) Is P on LN?
Use the diagram
shown and the given information to decide
whether BD is a perpendicular bisector, an angle
bisector, a median, or an altitude of ∆ABC.
66. BD  AC
57. Find m  ABC.
67.  ABD ≅  CBD
68. AD ≅ CD
69. BD  AC and
AD ≅ CD
70. P is the centroid of ∆DEF, FP = 14, RE = 24,
PS = 8.5
Proof:
a) Find TF
Prove: ∆ABD ≅ ∆CBD
73. Given: D is the midpoint of AC
b) Find PR
c) Find DP
d) Find DS
71. Find DB is D is the incenter
a) DC = 9
b) ED = 17
DZ = 15
EA = 15
74. Given: ∆ABC is isosceles with base AC, BD
bisects  B
Prove: ∆ABD ≅ ∆CBD
75. Are lines a and b coplanar?
72. Complete the proof.
Given: Point C is in the interior of  ABD
 ABD is a right angle.
Prove:  ABC and  CBD are complementary
Statements
Reasons
1.  ABD is a right angle
1. Given
2. m  ABD = 90
2. _______
3. ______________
3. Given
4. m  ABD =
4. _______
m  ABC + m  CBD
5. m  ABC + m  CBD = ______
5. Substitution
Property of =
6. _______
6. Def of
complementary
angles