Honors Geometry A Final Exam Review
1. If RS = 44 and QS = 89.8, find QR.
Q
R
[A] 44
S
[B] 133.8
[C] 35.8
[D] 45.8
2. Find the distance between the points (3, –5) and (6, –6).
[A] 10
3. Find the area:
4. Find the area:
[B] 202 [C] 10
[D]
202
5. Solve for x:
5 yd
b4 x  25g
20 yd
9 cm
b3x  28g
6.7 cm
7.8 cm
2.4 cm
6. Decide which one of the following statements is false.
[A] A line contains at least two points.
[B] Any three points lie on exactly 1 plane.
[C] Three noncolinear points determine a plane.
[D] Through any two points there exists exactly one line.
7. 1 and 2 are a linear pair. If m2  56 , then find m1.
8. Solve for x:
b2 x  138g
b3x  27g
9. Define skew lines.
10. In the figure, 1 and 2 are _________.
n
2
l
m
1
11. In the figure, 6 and 3 are __________.
n
1
4
5
8
2
3
[A] same side interior angles
[B] alternate exterior angles
[C] alternate interior angles
[D] corresponding angles
[A] same side interior angles
[B] corresponding angles
[C] alternate exterior angles
[D] alternate exterior angles
l
6
7
m
12. In the figure, 6 and 2 are _____________.
n
1
4
5
8
2
3
l
6
[A] corresponding angles
[B] alternate exterior angles
[C] same side interior angles
[D] alternate interior angles
7
m
13. Find m  1 in the figure below. PQ and RS are parallel.
P
R
66
1
Q
S
[A] 114
[B] 24
[C] 104
[D] 66
14. Find the slope of the line passing through the points A(–3, –8) and B(–2, –5).
15. Find the value of x.
16. Find the value of x.
x°
17. Find the value of x.
x
93°
120°
x
61°

18. Refer to the figure below. Which of the following statements is true?
E
[A] DIG  FIG by SAS
[B] DFG  GED by SSS
[C] DGE  FGE by SSS
[D] There are no congruent triangles.
G
D
F
DEF is equilateral. DG ~
= FG
19. Refer to the figure below. Which of the following statements is true?
I
J
[A] HIK  JIK by SAS
[B] HJK  KIH by SSS
[C] HKI  JKI by SSS
[D] There are no congruent triangles.
K
~ KJ
HI =
H
IK ~
= JH
20. State the postulate or theorem that can be used to conclude that OCD  OAB .
21. Refer to the figure shown. Which of the following statements is true?
I
K
H
J
HI  JK
IJ  LK
L
[A]
[B]
[C]
[D]
HIJ  JKL by SAS
HIJ  KLJ by SAS
HIJ  LKJ by ASA
HIJ  KLJ by ASA
126°
22. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 30 degrees and
its 2 congruent sides measure 16 units?
30°
16
16
[A] 30°
[B] 150°
[C] 60°
[D] 75°
23. A scalene triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which is
the missing label for the vertex?
y
[A] (b, c)
b0, 0g
[B] (0, a )
[C] ( a , b)
[D] (b, b)
ba, 0gx
24. Given: SQ bisects  RST . Find QR if UT  35 and UQ  120. (not drawn to scale)
T
Q
U
R
S
25. In the figure (not drawn to scale), MO bisects LMN , mLMO  13x  31, and mNMO  x  53.
Solve for x and find mLMN .
L
O
N
M
26. The medians of a triangle are concurrent. Their common point is called what?
27. Two sides of a triangle have lengths 7 and 15. The length of the third side must be greater than _____ and
less than ____.
28. Is it possible for a triangle to have sides with the given lengths?
4 cm, 3 cm, 14 cm
29. Refer to the figure below. Given: AB = AD, m  1 > m  2. Then,
[A] BE < ED
[B] AE = EC
[C] BE > ED
[D] BE = ED
30. The figure below is an example of a(n) _________
[A] octagon
[B] hexagon
[C] nonagon
[D] heptagon
31. Name a polygon with 10 sides.
32. If the diagonals of a parallelogram are equal in length, then the parallelogram is also what type of figure?
33. Choose the statement that is NOT ALWAYS true. For a rhombus ________.
[A] the diagonals are congruent
[C] all four sides are congruent
[B] the diagonals are perpendicular
[D] each diagonal bisects a pair of opposite angles
34. In what type of trapezoid are the base angles congruent?
35. For the trapezoid shown below, the measure of the midsegment is _______.
32
46
b g
36. Find the midpoint of the midsegment of the trapezoid with vertices O 0, 0 , A(4 s, 4t ), B(4u, 4t ), and
C (4v , 0).
y
A
O
[A] ( u + 2v , 2t )
[B] ( 2 s + 2u , 2t + 2t )
[C] ( s + u + v , 2t )
[D] ( t + u + v , t )
B
C x
37. Choose the figure below which satisfies the definition of a kite.
[A]
[B]
[C]
[D]
S
38. Find mT in the diagram, if mR  110 and mS  60.
39. Identify the quadrilateral which has all sides and angles congruent.
R
T
40. Find the area:
U
6.7 cm
2.4 cm
41. Find the area of a rectangle that measures 10 yd by 12 yd.
42. Find the area of a square with side length 14 m.
43. Find the height of the triangle if the area is 6.195 cm2 (not
drawn to scale).
7 cm
44. Find the area:
2.1 cm
22 in.
9 in.
8 in.
32 in.
45. Which statement is false for the triangle in the diagram?
P
N
M
120
L
135
R
[A] MN  NR
[C] LN  NP
[B] LM  PR
[D] LN  NP
46. Find the measure of the missing angle.
76°
47. Find x and y.
?
118°
x°
104°
112°
107° y°
48. Complete the statement for parallelogram DEFG.
Then state a definition or theorem as the reason.
GO  _____
G
65°
49. Complete the statement for parallelogram
JKLM. Then state a definition or theorem as
the reason. JK  _____
F
M
O
L
O
D
E
J
K
50. Find AM in the parallelogram if PN  10 and MO  20.
M
N
A
P
O
51. The area of the parallelogram is _____.
12
10
18
52. Find the value of the variables in the parallelogram.
20
120
y
z
x
[A] x = 10  , y = 60  , z = 160 
[B] x = 60  , y = 10  , z = 160 
[C] x = 20  , y = 40  , z = 120 
[D] x = 40  , y = 20  , z = 120 
53. Find the indicated measures if AE = 12, AD= 20, CD= 8, m<DBC = 32, m<BDC = 15.
A
B
m< CBA =
B
B
BC =
B
B
E
m<DAB =
B
B
B
AC =
B
C
DB
B
B
B
54. Which
of the these lines are parallel?
B 2
7
A. y= x  3
7
7
C. y=- x
2
B. y= x  4
2
2
D. y= x
7
55. Which of these lines are perpendicular?
2
A. y= x  3
7
7
C. y=- x
2
7
B. y= x  4
2
2
D. y=- x
7
56. In parallelogram ABCD, m<A= 46. What is the measure of angle B?
57. Find the area of the region shown by dividing it
into two trapezoids.
21
6
19
58. Find the area of quadrilateral ABCD.
14
12
Use the following statement to answer 59-61.
If two angles are complementary then their measures sum to 90°.
59. Write the converse.
60. Write the inverse.
61. Write the contrapositive.
62. Fill-in the blanks in this indirect proof.
Given: m  1 = 126  and m  2 = 125 
a
1
Prove: a || b
2
b
Assume ________________.
If a b then _____  ______ because when you have parallel lines, then the alternate interior angles are
congruent. But this contradicts the ____________ which states measurements for  1 and  2 that are not
equal. Therefore a b must be _____________ and a || b must be ____________.
63. Complete the proof. Supply a reason in each blank.
Given: a b, 12  5
d
Prove: c d
b
a
9 10
11 12
13 14
15 16
c
1 2
3 4
5 6
7 8
12  16
ab
c d
1. ______________
2. ______________
12  5
16  5
4.______________
3. __________________
5. ___________
A
B
64. Complete the proof.
Given : AB DC, B  D
Prove : BC  DA
1. B  D
C
D
Statements
Reasons
1.
2. AC  AC
2.
3. AB DC
3.
4. BAC  DCA
4.
5. ABC  CDA
5.
6.
6.
Q
K
65. Complete the proof.
Given : QK  QA, QB bisects KQA
Prove : KB  AB
B
Reasons
Statements
1.
1. Given
2. KQB  AQB
2.
3.
4. KBQ  ABQ
3. Reflexive
4.
5. KB  AB
5.
A