Download Chapter 2 Test Review Answer Section

Chapter 2 Test Review
1. If the pattern indicated below is continued, what would be the total number of cubes in the 5th stage of the pattern?
a. 55
b. 36
c. 45
d. 6
2. State a counterexample to disprove the following conjecture:
A square is a figure with four right angles.
a. A line connects two points. b. Octagons are figures. c. A triangle has three angles.
have four right angles.
Use inductive reasoning to find the next two
4. 1, 3, 6, 10, __, __
numbers in each pattern.
5. 2, 3, 5, 8, __, __
3. 2, 4, 8, 16, __, __
6. Identify the hypothesis and conclusion of the statement.
If today is Monday, then yesterday was Sunday.
d. Rectangles also
7. Rewrite the statement in if-then form.
Every right triangle has an angle with a measure of 90 degrees.
a. If a figure is a right triangle, then it has an angle with a measure of 90 degrees. b. A figure is a right triangle if
and only if it has an angle with a measure of 90 degrees. c. If a figure has an angle with a measure of 90 degrees,
then it is a right triangle. d. A figure has an angle with a measure of 90 degrees if and only if it is a right triangle.
Rewrite the following conditional statement in
9. Write the inverse of the following statement. If a
if-then form.
number is not divisible by six, then it is not
divisible by three.
8. Every pair of even numbers has a sum that is an
10. Given that:
even number.
i. Tawana bought a new computer.
ii. All computers depreciate in value.
What conclusion can be logically deduced?
11. Given the following statements, can you conclude that Marvin listens to the radio on Monday night?
(1) If it is Monday night, Marvin stays at home.
(2) If Marvin stays at home, he listens to the radio.
Choose the phrase that completes the following
statement as stated by the Point, Line, and Plane
Postulates:
12. One plane ___ passes through three noncollinear
points.
a. always b. never c. sometimes d. Point,
Line, and Plane Postulates do not address this topic
directly.
State the postulate indicated by the diagram.
13.
14.
15.
Use the diagram to write an example of the
postulate.
Identify the property that makes the statement true.
22. If XY = MN, then MN = XY.
23. If m P = m R and m R = m T, then m P =
m T.
16. Through any two points there exists exactly one
line.
17. If two lines intersect, then their intersection is
exactly one point.
18. Which of the following is an example of the
Symmetric Property?
a. If
, then
. b.
c. If
and
, then
.
d. If
, then
=
.
19. Name the property which justifies the following
conclusion:
Given:
Conclusion:
20. Name the property which justifies the following
conclusion:
Given:
Conclusion:
21. If PQ = 3 and PQ + RS = 5, then 3 + RS = 5 is an
example of the __________.
a. Substitution Property of Equality
b. Multiplication Property of Equality
c. Transitive Property of Equality d. Reflexive
Property of Equality
27. Provide the reasons for each statement in the proof.
Given:
Prove:
24. If m 1 + m 2 = 25° and
.
m 1 = 9°, then
25. Identify the property of congruence.
.
a. Substitution Property of Equality b. Reflexive
Property of Congruence c. Symmetric Property
of Congruence d. Transitive Property of
Congruence
26. Provide the reasons for each statement in the proof.
Given:
Prove:
28. In the figure shown,
following statements is false?
. Which of the
a.
32.
b.
c.
d.
are supplementary angles.
are vertical angles.
. Find
.
33. Provide reasons for each statement in the proof.
Given: 3
4
Prove: 1
2
a.
b.
d.
c.
29. Solve for x.
a. 3
b. 6
30.
c. 1
True or False:
d. 2
form a linear pair. If
is
a.
31.
b.
c.
d.
are supplementary angles.
are vertical angles. If
what is
36. Complete the proof.
Given: 2
4
Prove: 1
3
, what
34. Vertical angles are always supplementary.
35. If two angles are supplements of the same angle,
then they must be equal in measure.
Name the property used to make the conclusion.
37. If
Prove:
.
38. If
.
39. If
.
40. If
.
41. If
.
Predict the next three numbers.
42. –1, 2, 6, 11, ...
Write the inverse, converse, and contrapositive
of the conditional statement.
43. If it is snowing, then the temperature is below 32
degrees Fahrenheit.
Inverse:
Converse:
Contrapositive:
44. If two lines are parallel, then the two lines are in the
same plane.
Inverse:
Converse:
Contrapositive:
Use the diagram and given information to
complete the missing reasons in the proof.
45. Given:
46. What is the converse of "If it is raining, then we
will not go to the beach?"
a. If it is not raining, then we will go to the beach.
b. We will go to the beach if and only if it is not
raining. c. If we go to the beach, then it is not
raining. d. If we do not go to the beach, then it is
raining. e. None of the above.
47. "If
then
=
24" is an example of the
a. Symmetric property of equality b. Substitution
property of equality c. Addition property of
equality d. Subtraction property of equality
e. Reflexive property of equality
48. Two angles 3 and 5 are each supplementary to
4. If m 5 is 78°, what is m 3?
a. 102° b. 2° c. 78° d. 90° e. 180°
49. In the diagram,
is not true?
1
2. Which of the following
a. 3
4 b. m 7 + m 2 + m 4 = 180°
c. m 3 + m 5 = m 4 d. 6
7 e. 4 and
2 are complementary.
Chapter 2 Test Review
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
A
D
32, 64
15, 21
12, 17
hypothesis: today is Monday, conclusion: yesterday was Sunday
A
If two numbers are even, then their sum is even.
If a number is divisible by six, then it is divisible by three.
Tawana's computer will depreciate in value.
yes
A
A line contains at least two points.
Through any three noncollinear points there exists exactly one plane.
If two points lie in a plane, then the line containing them lies in the plane.
Through points A and B, there exists exactly one line, namely .
Lines
and
intersect at exactly one point, namely B.
A
Distributive property of equality
Addition property of equality
A
Symmetric Property of Equality
Transitive Property of Equality
Substitution Property of Equality
B
26.
27.
28. C
29. A
30. C
31. C
32.
33.
34. False
35. True
36.
37.
38.
39.
40.
41.
42.
43.
subtraction property of equality
division property of equality
transitive property of equality
reflexive property of equality
addition property of equality
17, 24, 32
Inverse: If it is not snowing, then the temperature is not below 32 degrees Fahrenheit. Converse: If the temperature
is below 32 degrees Fahrenheit, then it is snowing. Contrapositive: If the temperature is not below 32 degrees
Fahrenheit, then it is not snowing.
44. Inverse: If two lines are not parallel, then the two lines are not in the same plane. Converse: If two lines are in the
same plane, then the two lines are parallel. Contrapositive: If two lines are not in the same plane, then the two lines
are not parallel.
45.
46.
47.
48.
49.
D
B
C
A