Download Final Exam Review

FALL FINAL EXAM REVIEW
NAME______________________________________DATE_________________PER.______
GEOMETRY FALL SEMESTER REVIEW
PART 1. A REVIEW OF ALGEBRA
Find the correct answer for each of the following.
1. m = ____________
Solve for ‘m’: m – 7 = -13 + m
2. x = ____________
Solve for ‘x’: 12(x – 7) + 3(2x + 2) = 50x – 62
3. c = ____________
Solve fore ‘c’:
3
(15c + 10) = 12c – 9
5
Match each conditional statement with the algebraic property that would be used to
prove the conclusion. NOTE: All answer choices will be used, none will be repeated.
_____4. If 3x = 180, then x = 60.
A. Symmetric Property
_____5. If j = k and k = m, then j = m
B. Reflexive Property
_____6. If p, then p = p.
C. Transitive Property
_____7. If 3x – 2 = 7, then 3x = 9.
D. Division Property
_____8. If XY = QR, then QR = XY.
E. Addition Property
PART 2. GEOMETRY BASICS
Match each of the following terms with its correct description.
________9. Point
A. a point that divides a line segment exactly in half
________10. Line
B. an exact location in space
________11. Plane
C. has one endpoint and continues infinitely in one direction
________12. Coplanar
Points
D. points that lie in the same line
________13. Line
Segment
E. a set of points in a row that continues infinitely in two
directions
________14. Ray
F. a set of points containing two endpoints and all of the
points between them
________15. Midpoint
G. a flat surface that continues infinitely in all directions
________16. Collinear Points
H. Points that lie on the same plane
Using the figure below, name each of the following.
17. ____________
18. ____________
19. ____________
The intersection of M and L
L
A ray opposite DB
A plane containing CE
B
C
E
D
M
A
20. ____________
The intersection of L and CE
Find the indicated value.
21. x = _______________
If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY =
60, find the value of ‘x’. (Draw a picture…it helps!)
Find the indicated length.
22. FG = _______________
F is the midpoint of EG. If EF = 2x + 3 and EG = 6x – 3, find
FG.
PART 3. ANGLE BASICS
Using the figure below, find the indicated measures.
D
A
23. mCED = __________
mFEC = 32, find mCED.
E
24. x = __________
mCEA = (6x – 20), mAED = (3x + 18),
and mCED = 151. Find the value of ‘x’.
C
F
Use the figure below to answer the following questions.
25. ____________________
Name a pair of adjacent,
complementary angles.
26. ____________________
Which angle is vertical to STR?
27. ____________________
The measure of PTR is twice the
measure of NTP. Find the measure
of both angles.
28. ____________________
Find x if mMTN = (3x - 2) and
mNTP = (4x + 1).
29. ____________________
Find x if mNTP = (2x + 20) and
mSTR = (3x + 15).
N
M
P
Q
T
S
R
In the figure below, BA and BC are opposite rays, and BE bisects ABD.
30. mABE = __________ If mABE = (6x + 2) and mDBE =
(8x – 14), then find mABE.
D
E
A
B
31. mEBD = __________
If mABE = (12n – 8) and mABD =
(22n – 11), then find mEBD.
C
Match each description with its corresponding term. Write its corresponding letter in
the blank provided.
______32. An angle with a measure between 0 and 90.
A. angle
______33. Angles that have equal measures.
B. right angle
______34. An angle with a measure of 90.
C. vertex
______35. A ray that divides an angle into two congruent
angles.
D. congruent angles
______36. An angle with a measure of 180
E. straight angle
______37. An angle with a measure between 90 and 180.
F. angle bisector
______38. A figure formed by two rays that have the same endpoint.
G. adjacent angles
______39. Angles that have a common vertex and side, but share no
interior points.
H. segment bisector
______40. A pair of angles with a sum of 180.
I. acute angle
______41. Two non-adjacent angles formed by two intersecting lines.
J. midpoint
K. obtuse angle
L. complementary
angles
M. supplementary
angles
N. vertical angles
Find the indicated measures.
42. ____________________
Find the measures of two complementary angles, A & B, if
mA = (7x + 4) and mB = (4x + 9).
PART 4. CONDITIONALS & ALGEBRAIC PROOFS
Find the correct answer for each of the following.
43. Hypothesis:
If you complete your final exam
reviews, then you will do well on
your final.
44. Conclusion:
If you exempt your second period
final, then you still need to show up
for class.
45. Negation:
August is the hottest month.
46. Converse:
If you eat your ice cream too fast,
then you’ll get a brain freeze.
47. Inverse:
If you vote for Ruben on the next
American Idol episode, then he will
win the competition.
48. Contrapositive:
If you want to pass this class, then
you will get your teacher some
chocolate.
PART 5: COORDINATE GEOMETRY
Find the indicated value.
49. d = _______________
Find the distance between the points -6 and 5 on the number
line.
50. d = _______________
Find the distance between the points A(-3, 5) and B(0, 1).
Find the midpoint of the segment with the given endpoints.
51. m = _______________
(-7, 7) and (-9, 8)
52. m = _______________
(-3, 6) and (2, -8)
PART 6. PARALLEL LINES & TRANSVERSALS
Use the figure below for problems 53. – 58. Identify each angle pair and tell whether
they are congruent or supplementary.
53.TYPE:____________________

or
supplements?
54.TYPE:____________________

or
or
4 and 5
supplements?
55.TYPE:____________________

1 and 5
supplements?
2 and 8
1 2
3 4
5 6
7 8
56.TYPE:____________________

or
supplements?
57.TYPE:____________________

or
or
3 and 5
supplements?
58.TYPE:____________________

6 and 7
6 and 8
supplements?
Find the value of ‘x’ in each of the following.
(2x – 3)
59.x = ____________
135
(2x + 7)
60.x = ____________
103
Find the indicated value(s).
61.x = ____________
Find the values of ‘x’ and ‘y’.
(3y + 8) (4x + 9)
y = ____________
(19x + 10)
62.x = ____________
Find the value of ‘x’.
(4x – 10)
110
63.x = ____________
(3x – 50)
Find the value of ‘x’.
(2x – 5)
64. x = ____________
2x
(6x – 12)
Find the value of ‘x’.
Use the pyramid below to answer questions 65 and 66.
M
65. _________________________
Name all pairs of parallel
segments.
66. _________________________
Name a segment skew to AE.
A
PART 7: TRANSFORMATIONAL GEOMETRY
Draw the indicated reflection of the polygon, and state the coordinates of its new
vertices.
67. L’(________, ________)
Reflect across y = x.
N
M’(________, ________)
N’(________, ________)
M
O’(________, ________)
Q
P’(________, ________)
Q’(________, ________)
R’(________, ________)
O
P
R
L
R
D
E
Translate the image as indicated, then state the coordinates of its new vertices.
68. A’(________, ________)
B’(________, ________)
Translate 3 units down and 4 units right.
A
D
B C
C’(________, ________)
D’(________, ________)
E’(________, ________)
H
E
G
F
F’(________, ________)
G’(________, ________)
H’(________, ________)
Rotate each polygon as indicated, then state the coordinates of the new vertices.
69. Q’(______, ______)
Rotate 90 counterclockwise.
T
R’(______, ______)
S’(______, ______)
S
T’(______, ______)
Q
R
Dilate each of the following figures as indicated, then state the coordinates of the new
vertices.
70. A’(______, ______)
Scale Factor: 2
B’(______, ______)
C’(______, ______)
B
A
C
PART 8. TRIANGLE BASICS & CONGRUENT TRIANGLES
Determine whether it is possible to form a triangle with the given lengths of sides. If
yes, classify the triangle by SIDES.
71. YES
or
NO
5, 4, and 3
or
NO
5, 10, and 15
or
NO
10, 100, and 100
or
NO
15, 15, and 15
Classify:
72. YES
Classify:
73. YES
Classify:
74. YES
Classify:
Find the value of ‘x’ in each of the following.
75.x = ____________
(x + 10)
x
(x + 20)
76.x = ____________
(x – 37)
(x – 42)
x
Answer each of the following questions. Write your final answer in the blank provided.
77. _______________
If BOY  GAL, then YB  __?__.
78. _______________
If QRS  LMN, then Q  __?__.
Determine whether the following pairs of triangles are congruent by SSS, SAS, ASA, or
not congruent.
79. __________
80. __________
81. __________
Write in the statements with their corresponding reasons in each two-column proof
below.
82.
GIVEN: PO  QR
PO bisects QPR
P
PROVE: Q  R
STATEMENTS
REASONS
Q
O
R