Geometry A – Final Exam Review Packet
Name: _______________
___/27 Intro to Geometry Review
Score: ______178
13. Two supplementary angles are in ratio 11:7.
Find the measure of each.
1. An acute  has a measure of __________.
2. A right  has a measure of __________.
3. An obtuse  has a measure of _________.
14. In the figure 
 bisects FCB . If
CG
FCG = 9x + 3 and GCB = 13x-9, find
GCB and classify the type of angle.
4. A straight  has a measure of ____________.
5. Draw and label a plane Q. Put each of the
following relationships in this plane.
a. 
 is in plane Q.
AB
b. 
 intersects 
 at P.
ST
AB
c. Point X is collinear with points A and P.
d. Point Y is not collinear with points T and P.
e. Line  contains points X and Y.
The figure below refers to problems 15-16.
Line AD  line CF, and mDOE=63.
6. Find the length of BC .
A 13cm B
25cm
C
15. Find mEOF.
7. Find y if B is between A and C,
AB is 2y,
BC is 6y and AC is 48.
16. Find mAOB.
17. 2 comp 3 and 4 = 131. Find the measure
of the rest of the angles.
8. Find the complement of 40º.
9. Find the supplement of 150º.
10. 1 of 2 complementary angles is twice the
other. Find the measure of the angles.
11. One of 2 supplementary angles is 70 greater
than the 2nd. Find the measure of the larger
angle.
12. If 2 angles are both supplementary and
congruent, then they are ____________.
1
a.
b.
c.
d.
e.
f.
g.
1 =
2 =
3 =
5 =
6 =
7 =
8 =
_________________
_________________
_________________
_________________
_________________
_________________
_________________
Rev D.1
Geometry A – Final Exam Review Packet
Name: _______________
___/32 Reasoning & Proofs Review
18. What are some things that can be assumed?
a. ________________________
b. ________________________
c. ________________________
d. ________________________
19. What are some things that cannot be
assumed?
a. ________________________
b. ________________________
c. ________________________
d. ________________________
21. What are two things that can be concluded
from “Right Angle”?
a. ________________________
b. ________________________
22. What is one thing that can be concluded from
“Midpoint”?
a. ________________________
23. What is one thing that can be concluded from
“Bisect”?
a. ________________________
For questions 24-26, provide possible conclusions
based on the diagram and given information.
D
B
27. Identify the hypothesis and conclusion of the
following statement: If 2 lines are
perpendicular then they form 4 right angles.
28. Write converse, inverse and contrapositive of
“If today is President’s Day, then there is no
school.”
a. Converse:
b. Inverse:
20. What are two things that can be concluded
from “Straight Angle”?
a. ________________________
b. ________________________
24. Given: A is a right 
Conclusion:
A
Score: ______178
C
25. Given: 3 sup to 4, 5 sup to 4
Conclusion:
c. Contrapositive
29. Write the converse, inverse and
contrapositive of “a → b”
a. Converse:
b. Inverse:
c. Contrapositive
30. Complete a truth table for r  s (3pts)
For problems 31-35, state the property that justifies
each statement.
31. AB  AB
32. If A  P then P  A .
33. If XY  PQ then
XY PQ

.
2
2
34. If 3( x  6)  0 then 3x  18  0 .
35. If a = b and b = c then a = c.
26. Given: F sup G, H sup J, G  J
Conclusion:
2
Rev D.1
Geometry A – Final Exam Review Packet
Name: _______________
___/22 Lines in the Plane Review
(Coordinates & Parallel Lines)
Score: ______178
44. Identify the following pairings:
36. What is the slope formula?
37. What is the midpoint formula?
38. What is the distance formula?
a. alternate interior:
39. Find the slope of the line that passes through
(1, 3) and (5, -2)
b. alternate exterior:
c. corresponding:
40. Find the coordinates of the point where the
median from A intersects BC.
(-4,3)
B (6,5)
A
d. same side interior:
e. same side exterior:
45. Given that m14  51 , find the value of the
rest of the angles.
C (6,-1)
41. Given the following coordinate (2,-3) perform
the following transformations.
a. reflect over x-axis
b. reflect over y-axis
c. translate to up 3 units
46. Find m1
42. List 5 ways to prove || lines.
a. __________________
b. __________________
c. __________________
d. __________________
e. __________________
1
43. Find x so that e ||f
a.
b.
3
Rev D.1
Geometry A – Final Exam Review Packet
Name: _______________
___/26 Triangle Properties Review
Score: ______178
60. Find the value of x
a.
b.
47. An acute triangle has ___________________
48. An obtuse triangle has __________________
49. A right triangle has _____________________
50. An equiangular triangle has ______________
51. An equilateral triangle has _______________
52. An isosceles triangle has ________________
53. A scalene triangle has __________________
54. A median is __________________________
55. An altitude is _________________________
56. Given YA is a median and XA  x  6 and
ZA  2 x  12 find ZX
61. Based on the diagram above, identify 5 angle
relationships:
a. ______________________
b. ______________________
c. ______________________
d. ______________________
e. ______________________
62. Name the longest side of ∆ABC.
57. Determine whether the given measures can be
lengths of the sides of a triangle:
a. 2, 4, 5
b. 6, 9, 15
63. Name the smallest angle of ∆ABC.
58. Find the range for the measure of the third
side of the triangle given the measures of 2
sides:
a. 1 and 6
b. 82 and 8
64. Determine the relationship between the
lengths of the sides AE and EB.
59. Determine the type of triangle, if any, based
on the lengths of the 3 sides (Hint use
Pythagorean Theorem):
a. 8, 15, 17
b. 1, 1, 2
4
Rev D.1
Geometry A – Final Exam Review Packet
Name: _______________
___/28 Triangles Review
65. What are some ways to prove 2 triangles are
congruent?
a. ______________________
b. ______________________
c. ______________________
d. ______________________
66. What must you have in order to use the HL
postulate?
a. ______________________
b. ______________________
c. ______________________
Score: ______178
71. Given the following indirect proof, what must
be assumed?
Given: AB  AD,
BAC  DAC
Prove: BC  DC
Complete the following proofs.
72. Given: FGI  IGH,
GI  FH
Prove: ∆GIH is a right ∆
67. Can CPCTC be used as a reason in a proof
before proving any triangles are congruent?
68. When given a circle as a diagram, what can
one assume?
Statements
1.
2.
3.
4.
Reasons
1.
2.
3.
4.
69. Determine whether the pair of triangles is
a.
congruent. If so, write a congruence statement
and explain why the triangles are congruent.
b.
73. Given: C  H,
T is midpoint of AO
Prove: ∆CAT  ∆HOT
Statements
1.
2.
3.
4.
5.
70. Indicate the needed information to make the 2
triangles congruent via AAS.
Reasons
1.
2.
3.
4.
5.
74. Given: HGJ  KJG,
KGJ  HJG
Prove: HG  KJ
Statements
1.
2.
3.
4.
5.
5
Reasons
1.
2.
3.
4.
5.
Rev D.1
Geometry A – Final Exam Review Packet
Name: _______________
___/43 Polygons & Quadrilaterals
75. List 3 properties of a polygon.
a. _________________
b. _________________
c. _________________
76. Name the polygon based by its # of sides,
convex/concave and regular/irregular.
Score: ______178
82. Name all quadrilaterals that have congruent
opposite angles.
a. ____________________
b. ____________________
c. ____________________
d. ____________________
83. Name all quadrilaterals that have congruent
diagonals.
a. ____________________
b. ____________________
c. ____________________
Use rhombus QRST for Questions 84 – 86.
77. List the properties of a parallelogram.
1.____________
2.____________
3.____________
4.____________
5.____________
6.____________
78. Beyond the properties of a parallelogram, list the
properties of a rhombus.
1.____________
2.____________
3.____________
4.____________
5.____________
84. If m∠QTS = 56, find m∠1.
85. If m∠P = 6x, find x.
86. If TP = 15, find TR.
79. Name all the properties of a kite. Which
shapes also have these properties?
1.____________
2.____________
3.____________
4.____________
5.____________
Use rectangle ABCD for Questions 87 – 88.
87. If m∠DCE = 4x+5 and m∠DEC = 5x + 14. Find
x.
80. Name all the properties of a square.
1.____________
2.____________
3.____________
88. If DC = 4x – 30 and AB = 30-x, find DC.
81. List the properties of an isosceles trapezoid.
1.____________
2.____________
3.____________
4.____________
5.____________
6.____________
89. The bases of a trapezoid are 12 and 26. Find
the length of the median.
90. Draw the quadrilateral tree representing the
relationship of the various quadrilaterals.
6
Rev D.1