Download Chapter 2 Test Review

Chapter 2 Test Review
____
1. If
then what are
A.
B.
____
,
and
The diagram is not to scale.
C.
D.
,
,
,
2. How are the two angles related?
60°
120°
Drawing not to scale
A. supplementary
B. adjacent
____
C. vertical
D. complementary
3. Name an angle supplementary to
A.
B.
C.
D.
____
4. Name an angle complementary to
A.
____
B.
C.
D.
C.
D.
C.
D.
5. Name an angle vertical to
E
D
F
G
H
J
I
A.
____
B.
6. Name an angle adjacent to
E
D
F
G
H
J
I
A.
B.
____
7. Supplementary angles are two angles whose measures have a sum of ____.
Complementary angles are two angles whose measures have a sum of ____.
A. 90; 180
B. 90; 45
C. 180; 360
D. 180; 90
____
8. In the figure shown,
. Which of the following statements is false?
Not drawn to scale
A.
B.
C.
D.
____
BEC and
AEB and
AED are vertical angles.
BEC are vertical angles.
9. The complement of an angle is 53°. What is the measure of the angle?
A. 37°
B. 137°
C. 47°
D. 127°
____ 10.
and
are complementary angles. m
each angle.
A.
= 48,
= 42
C.
B.
= 48,
= 52
D.
____ 11.
and
A.
B.
are a linear pair.
, and
C.
D.
=
, and m
= 46,
= 46,
=
. Find the measure of
= 44
= 54
. Find the measure of each angle.
____ 12. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
A. Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
B. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.
C. Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.
D. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
____ 13. Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the
____ , and the part following then is the ____.
A. conditional; conclusion; hypothesis
C. conditional; hypothesis; conclusion
B. hypothesis; conclusion; conditional
D. hypothesis; conditional; conclusion
____ 14. Write this statement as a conditional in if-then form:
All triangles have three sides.
A. If a triangle has three sides, then all triangles have three sides.
B. If a figure has three sides, then it is not a triangle.
C. If a figure is a triangle, then all triangles have three sides.
D. If a figure is a triangle, then it has three sides.
____ 15. Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.
A.
C.
Motor vehicles
Cars
Cars
Motor vehicles
B.
D.
Motor vehicles
Cars
Cars
Motor
vehicles
____ 16. What is the converse of the following conditional?
If a point is in the fourth quadrant, then its coordinates are negative.
A. If a point is in the fourth quadrant, then its coordinates are negative.
B. If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
C. If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
D. If the coordinates of a point are negative, then the point is in the fourth quadrant.
17. What is the converse of the following true conditional? If the converse is true, rewrite the statements as a
biconditional. If either is false, give a counterexample.
If two lines are parallel, they do not intersect.
____ 18. When a conditional and its converse are true, you can combine them as a true ____.
A. counterexample
C. unconditional
B. biconditional
D. hypothesis
19. Determine whether the conditional and its converse are both true. If both are true, combine them as a
biconditional. If either is false, give a counterexample.
If an angle is a right angle, its measure is 90.
If an angle measure is 90, the angle is a right angle.
____ 20. Write the two conditional statements that make up the following biconditional.
I drink juice if (and only if) it is breakfast time.
A. I drink juice if (and only if) it is breakfast time.
It is breakfast time if (and only if) I drink juice.
B. If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
C. If I drink juice, then it is breakfast time.
I drink juice only if it is breakfast time.
D. I drink juice.
It is breakfast time.
____ 21. Is the following definition of dog reversible? If yes, write it as a true biconditional.
A dog is a mammal.
A. The reverse is false.
B. The reverse is true. An animal is a dog if (and only if) it is a mammal.
C. The reverse is true. An animal is a mammal if (and only if) it is a dog.
D. The reverse is true. If an animal is a dog, then it is a mammal.
____ 22. Is the statement a good definition? If not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles.
A. The statement is a good definition.
B. No; a rhombus is a counterexample.
C. No; a rectangle is a counterexample.
D. No; a parallelogram is a counterexample.
____ 23. One way to show that a statement is NOT a good definition is to find a ____.
A. converse
C. biconditional
B. conditional
D. counterexample
____ 24. What is the value of x?
(8x – 8)°
(7x + 8)°
Drawing not to scale
A. –16
B. 120
C. 60
D. 16
____ 25. What is the value of x?
(2x + 24)º
144 º
Drawing not to scale
A. 84
____ 26.
B. 36
C. 120
D. 60
C. 160
D. 20
Find
1
4
2
3
Drawing not to scale
A. 150
B. 30
____ 27. Find the values of x and y.
A. x = 15, y = 17
B. x = 112, y = 68
C. x = 68, y = 112
D. x = 17, y = 15
28. Write the conditional statement that the Venn diagram illustrates.
Quadrilaterals
Squares
29. Is the following conditional true or false? If it is true, explain why. If it is false, give a counterexample.
If it is snowing in Dallas, Texas, then it is snowing in the United States.
____ 30. What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
A. If an angle is not a right angle, then its measure is 90.
False
B. If an angle is not a right angle, then its measure is not 90.
True
C. If an angle has a measure of 90, then it is a right angle.
False
D. If an angle has a measure of 90, then it is a right angle.
True
31. Write the converse of the given true conditional and decide whether the converse is true or false. If the
converse is true, combine it with the conditional to form a true biconditional. If the converse is false, give a
counterexample.
If the probability that an event will occur is 0, then the event is impossible to occur.
32. Write the two conditional statements that form the given biconditional. Then decide whether the biconditional
is a good definition. Explain.
Three points are collinear if and only if they are coplanar