Name _______________________________________ Date ___________________ Class __________________
CHAPTER
Cumulative Test
5
Choose the best answer.
8. Where is the image of (6, 2) reflected
across the graph of y  x?
1. Which of PQ and QR contains P?
A PQ only
C Both
B QR only
D Neither
H 9
G 8
J 13
C 50°
B 37.5°
D 75°
H 112°
G 78°
J 158°
J (2, 6)
A 9
C 3
B 3
D 9
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.
4. If the complement of an angle measures
22°, what is the measure of its
supplement?
F 68°
G (2, 6)
10. For which conditional statement (p  q)
is its converse (q  p) false?
3. SU bisects RST. If mRST  (8x  15)°
and mRSU  5x°, what is mRST?
A 25°
H (2, 6)
9. What is the next term in the sequence?
729, 243, 81, 27, . . .
2. K is between J and L. JK  3x  5, and
KL  2x  1. If JL  16, what is JK?
F 7
F (2, 6)
11. For which conditional statement (p  q)
is its inverse (p  q) false?
A If a point is a midpoint of a segment,
then it divides the segment into two
congruent segments.
5. The perimeter of a square is 8 meters.
What is its area?
A 4m
2
C 16 m
B 8m
2
D 64 m2
B If Mike does not become an airplane
pilot, then he will not learn how to fly
a plane.
2
C If you see a zebra, then you must be
in a zoo.
6. What is the area of a circle whose
diameter is 3 centimeters?
F 1.5 cm2
H 6 cm2
G 2.25 cm2
J 36 cm2
D If the biggest holiday of the month is
Thanksgiving, then the month is
November.
12. Which justifies the statement?
If 1  2 and 2  3, then
1  3.
7. 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 Transitive Property of Congruence
G Substitution
H Symmetric Property of Congruence
J Reflexive Property of Congruence
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Name _______________________________________ Date ___________________ Class __________________
CHAPTER
5
Cumulative Test
continued
13. Which is the most logical conclusion by
the Law of Syllogism?
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.
16. Complete the statement.
Two lines are parallel if the same-side
interior angles are _______ angles.
F complementary
G supplementary
H congruent
J corresponding
A The triangle is obtuse.
17. Which angles are alternate interior
angles?
B The other angle in the triangle is
obtuse.
C The triangle is not obtuse.
D None of these are valid conclusions.
14. 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°.
J A figure has an endpoint if and only if
the figure is a segment.
Reasons
1. Given
2. x  5  0
2. Add. Prop. of 
3. 2(x + 5)  0
3.
B 1 and 5
D 3 and 7
Statements
15. Complete the proof.
Given: x  5
Prove: 2(x  5)  0
Proof:
1. x  5
C 3 and 4
18. Complete the proof.
Given: k ||
Prove: 1 and 6
are supplementary.
Proof:
H A side of a triangle is a hypotenuse if
and only if it is the longest side of a
triangle.
Statements
A 1 and 4
Reasons
1. k ||
1. Given
2. 1  5
2.
3. m1  m5
3. Def. of 
4. 5 and 6 are
supplementary.
4. Linear Pair Thm.
?
5. m5  m6  180° 5. Def. of supp. /s
6. m1  m6  180° 6. Subst.
?
7. 1 and 6 are
supplementary.
A Multiplication Property of Equality
7. Def. of supp. /s
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
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102
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Name _______________________________________ Date ___________________ Class __________________
CHAPTER
5
Cumulative Test
continued
19. 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
24. 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
25. Find y.
20. Complete the paragraph proof.
Given: 2  5
Prove: 1  4
F m2  m3  180°
G m4  m7  180°
J m6  m7  180°
21. Find all values for x.
B 0  x  11
D x  3
B 82°
D 134°
F y
3
x 3
5
H y
3
x 5
5
G y
5
x 3
3
J y
5
x 5
3
27. Complete the statement.
If U  P, S  Q, T  R,
UT  PR, US  PQ, and ST  QR , then
PQR  _______.
H m4  m5  180°
C 4  x  11
C 128°
26. Which line coincides with the graph
of 6x  10y  30?
Proof:
It is given that 2  5. By the Linear
Pair Theorem, m2  m1  180°
and _______. By the Congruent
Supplements Theorem, 1  4.
A x  11
A 36°
A RQP
C TUS
B STU
D UST
28. What is the least information needed to
prove the triangles congruent by SSS?
22. What is the slope of the line
3
perpendicular to y   x  9?
2
3
2
F
H 
2
3
2
3
G
J 
3
2
F M  Q
H LN  PR and
MN  QR
G LN  PR
23. What is the equation of the line that
passes through (0, 2) and (4, 6)?
A y  2x  2
C yx2
1
B y  x 2
D y  2x  2
2
J LN  QR and
MN  PR
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103
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Name _______________________________________ Date ___________________ Class __________________
CHAPTER
5
Cumulative Test
continued
29. Why is PQS  RQS?
A SAS
B ASA
33. QS bisects PQR. What is QR?
A 65
B 50
C AAA
D HL
30. Complete the proof.
Given: ABC is equilateral, and
BD is an altitude.
C 40
D 15
34. XL, XM, and XN are perpendicular
bisectors. The perimeter of FGH is 54.
What is FG?
Prove: BD bisects AC.
F 36
G 27
Proof:
35. SV and RT are medians. What is
JS  JT?
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 BDA and BDC are
right /s and BDA  BDC by HL.
Therefore, AD  CD by ? . By
definition of bisector, BD bisects AC.
F HL
H ASA
G SAS
J CPCTC
31. Given: TUVW is a rectangle.
Prove: TV  UW
For an analytic proof, which is the
best placement of the rectangle in the
coordinate plane?
A T(0, 0), U(a, b), V(0, c), W(a, c  b)
B T(0, 0), U(a, 0), V(a, b), W(0, b)
C T(a, b), U(a  b, 0), V(a  b, c), W(0, c)
D T(0, 0), U(a, 0), V(a, a), W(0, a)
H obtuse
G right
J equiangular
A xy
C 2y 
B 2x  3y
D
1
x
2
1
x  2y
2
36. In JKL, JK  JL  KL. Which is the
correct order of the angles from smallest
measure to largest?
F J, L, K
H K, L, J
G J, K, L
J L, K, J
37. Two sides of a 30°-60°-90° 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
38. PQ is a midsegment. What is PQ?
32. One of the base angles of an isosceles
triangle is 40°. Which is the triangle
classification according to its angles?
F acute
H 18
J 9
F 16
G 17
H 32
J 34
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104
Holt Geometry
17. 24 cm
12. F
31. B
18. 288 3 in2 or about 498.8 in2
13. D
32. H
14. G
33. A
15. A
34. H
Performance Assessment
1. Perpendicular Bisector Theorem
16. G
35. C
2. B is the midpoint of AC since BE is a
midsegment.
17. D
36. G
3. 90; Def. of perpendicular bisector
18. F
37. B
4. BDC, DBE, EDB, ABE, A
19. D
38. G
5. AE  AB; AEB  90, ABE  45,
and, if two angles in a triangle are
not congruent, then the longer side
is opposite the larger angle.
CHAPTER 6
Section Quiz: Lessons 6-1 Through 6-3
6. The triangles are not congruent. The
reasoning in the answer for question 5
can be used to show that AB  AE and
AB  EB and likewise that DC  BC.
But since AB  BC, it follows that DC is
longer than each side of ABE.
Therefore ABE cannot be congruent
to CDB.
1. D
6. F
2. H
7. B
3. D
8. J
4. H
9. B
5. A
Section Quiz: Lessons 6-4 Through 6-6
7. a. 14
b. 14 2, or about 19.8
c. 28
d. 28 2, or about 39.6
1. A
6. G
2. J
7. D
3. A
8. J
4. J
9. A
5. A
Cumulative Test
Chapter Test Form A: Multiple Choice
1. C
20. H
1. D
9. C
2. F
21. C
2. C
10. A
3. D
22. G
3. A
11. A
4. H
23. A
4. D
12. B
5. A
24. H
5. A
13. B
6. G
25. B
6. A
14. A
7. A
26. F
7. B
15. A
8. J
27. D
8. A
16. A
9. D
28. H
10. G
29. B
11. C
30. J
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Holt Geometry