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Name _______________________________________ Date ___________________ Class __________________
Cumulative Review
Write the best answer on the answer
sheet. Show work on a separate sheet
of paper. SHOW WORK
1. Which of PQ and QR contains P?
A PQ only
C Both
B QR only
D Neither
3. SU bisects RST. If mRST  (8x  15) o
and mRSU  5x o, what is mRST?
A 25 o
C 50 o
B 37.5 o
D 75 o
2. K is between J and L. JK  3x  5, and
KL  2x  1. If JL  16, what is JK?
F 7
H 9
G 8
J 13
8. For which conditional statement (p  q)
is its converse (q  p) false?
4. If the complement of an angle measures
22o, what is the measure of its
supplement?
F 68 o
H 112 o
G 78 o
J 158 o
6. The midpoint of a segment is (2, 5), and
one of the endpoints is (3, 6).
Where is the other endpoint?
A (1, 16)
C (2.5, 0.5)
B (4, 17)
D (0.5, 5.5)
F If a fruit has seeds inside, then it is
an orange.
G If Meg lives in Egypt, then she lives
in Africa.
H If the day is between Monday and
Wednesday, then it is Tuesday.
J If the car will not start, then it is out
of gas.
10.Which justifies the statement?
If 1  2 and 2  3, then
1  3.
F Transitive Property of Congruence
G Substitution
7. What is the next term in the sequence?
729, 243, 81, 27, . . .
A 9
C 3
B 3
D 9
H Symmetric Property of Congruence
J Reflexive Property of Congruence
Name ________________________________________ Date __________________ Class __________________
11. Which is the most logical conclusion?
If one of the angles of a triangle is obtuse,
then the other two angles are acute. If a
triangle is an obtuse triangle, then one of
its angles is obtuse. A triangle has two
acute angles.
A The triangle is obtuse.
B The other angle in the triangle is
obtuse.
C The triangle is not obtuse.
14. Complete the statement.
Two lines are parallel if the same-side
interior angles are _______ angles.
F complementary
G supplementary
H congruent
J corresponding
15. Which angles are alternate interior angles?
D None of these are valid conclusions.
12. Which is a true biconditional statement?
F Four points are coplanar if and only if
they are noncollinear.
G Two angles are complementary if and
only if the sum of their measures is 90 .
H A side of a triangle is a hypotenuse if
and only if it is the longest side of a
triangle.
J A figure has an endpoint if and only if
the figure is a segment.
A 1 and 4
C 3 and 4
B 1 and 5
D 3 and 7
16. Complete the proof.
Given: k || 
Prove: 1 and 6
are supplementary.
Proof:
Statements
13. Complete the proof.
Given: x  5
Prove: 2(x  5)  0
Proof:
Statements
Reasons
Reasons
1. k || 
1. Given
2. 1  5
2.
3. m1  m5
3. Def. of 
4. Linear Pair Thm.
?
1. x  5
1. Given
4. 5 and 6 are
supplementary.
2. x  5  0
2. Add. Prop. of 
5. m5  m6  1808 5. Def. of supp. 
3. 2(x + 5)  0
3.
6. m1  m6  1808 6. Subst.
?
A Multiplication Property of Equality
7. 1 and 6 are
supplementary.
7. Def. of supp. 
B Transitive Property of Equality
F Alternate Exterior Angle Theorem
C Subtraction Property of Equality
G Alternate Interior Angle Theorem
D Reflexive Property of Equality
H Same-Side Interior Angle Theorem
J Corresponding Angle Theorem
Name _______________________________________ Date ___________________ Class __________________
Cumulative Review
Extra Credit
17. A line passes through the points (5, 8) and
(6, 2). What is the slope?
1
A 10
C
10
6
B 
D 10
11
18.What is the slope of the line perpendicular to
3
y   x  9?
2
3
2
2
G
3
F
21.Complete the statement.
If U  P, S  Q, T  R,
UT  PR, US  PQ, and ST  QR , then
 PQR  _______.
A  RQP
C  TUS
B  STU
D  UST
22.What information is needed to prove the
triangles congruent by SSS?
2
3
3
J 
2
H 
F M  Q
H LN  PR and
MN  QR
19. What is the equation of the line that passes
through (0, 2) and (4, 6)?
A y  2x  2
1
B y  x 2
2
C yx2
G LN  PR
J LN  QR and
MN  PR
23. Why is  PQS   RQS?
D y  2x  2
20.Three sides of a triangle are shown. Which
triangle is acute?
F 3, 4, 5
H 4, 5, 6
G 5, 12, 13
J 4, 7, 10
A SAS
B ASA
C AAA
D HL
24. Find y.
A 36o
C 128 o
B 82 o
D 134 o
Name _______________________________________ Date ___________________ Class __________________
Cumulative Review
Extra Credit
27. QS bisects PQR. What is QR?
25. Complete the proof.
Given:  ABC is equilateral, and
BD is an altitude.
Prove: BD bisects AC.
A 65
B 50
C 40
D 15
28. XL, XM, and XN are perpendicular
bisectors. The perimeter of FGH is 54.
What is FG?
Proof:
By definition of equilateral, AB  CB,
and by the Reflexive Property of
Congruence, BD  BD . Since BD
is an altitude, BDA and BDC are
right angles. So nBDA and nBDC are
right ? and  BDA   BDC by HL.
Therefore, AD  CD by ? . By
definition of bisector, BD bisects AC.
F HL
G SAS
H ASA
J CPCTC
26. One of the base angles of an isosceles
triangle is 40o. Which is the triangle
classification according to its angles?
F acute
H obtuse
G right
J equiangular
F 36
G 27
H 18
J 9
29. In JKL, JK  JL  KL. Which is the
correct order of the angles from smallest
measure to largest?
FJ, L, K
G J, K, L
H K, L, J
J L, K, J
30. Two sides of a 30 o -60 o -90 o triangle are
9 and 18. What is the length of the third
side?
A 9 2
C 18 2
B 9 3
D 18 3
31. PQ is a midsegment. What is PQ?
F 16
G 17
H 32
J 34
Name _______________________________________ Date ___________________ Class __________________
GEOMETRY EXTRA CREDIT
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