Use the Law of Detachment to come up with a conclusion.
11. If a number is divisible by 6, then the number is divisible by 3.
18 is divisible by 6.
sion:
Conclusion:
12. If a hen is a Plymouth Rock, then her eggs are brown.
Berta is a Plymouth Rock hen.
Conclusion:
For Exercises 13-16, choose the property that justifies the statement.
13. If3x = 6,thenjc = 2.
G Subtraction H Square root^^^ivision
F Addition
14^{ AB=CD and CD= EF then AB-=EF^
A Reflexive
B Symmetric C Substitution D Equality
15. If P5 s WX , then PS = WX.
F Reflexive
G Symmetric
^^^^efmition of congruent segments
J Transitive
16. If ^, £, and are collinear and AB + BN=AN, which point is between the
other two points?
AA
(^B^
CN
D cannot tell
f\~
^
17. Which best describes the statement A plane contains at least 3 points not on
the same linel
ilways true
H never true
Q
sometimes true
J cannot tell
18. Find the value of x.
H55
J 125
35
19. IfmZABD = 56, find mZDBC.
A 124
B56
55-XU+30)"
6^
C44
^4
B
20. If a right angle is cut in half, what is the measure of each of the smaller
angles?
F30
CS^^
21. If AwZl is twice m/2, find mZ.\.
1/2
Chapter 2 Review
Glencoe Geometry
NAME
PERIOD
DATE
Chapter 2 Review
1. Make a conjecture about the next tenjun this sequence: 92, 87, 82, 77, 72.
A-5
B62
^^"^
2. Make a conjecturegiven that Mis the midpoint of BC .
^
FBM=BC
(Q^M--MC
UMC-=BC
J Mbisects ZC g
3. If a + ^) < 8 and a = 2, then * < 5.
AWhich of the following would be a^^nterexample?
2--» "O —
Ab = 3
(^b = 5
(\£f> = 6
D* = a
^
^
^^L-Jj^
4. Identify the hypothesis of the statement Ifx + 4 = 5, then x- 1.
AIfjc= l,then;c + 4 = 5.
© c +4= 5
B I f x + 4^5,then;c^l.
D;c=l
5. Underline the conclusion of the following statement: If I listen to Mr.
Conley, then I will perform well on the chapter 2 test.
6. Write a counterexample for the given conditional phrase. If a number: is
squared, then the answer is larger than the number that was squai
7. A biconditional phrase has what four words in it?
vf'and Gn\v| \
8. Identify the converse of the statement If catsfly,then ducks bark.
F If cats don'tfly,then ducks don't bark.
G If ducks don't bark, then cats don't fly.
. JH If cats bark, then ducks fly.
CJy^ ducks bark, then cats fly.
Use the Law of Syllogism to draw a valid conclusion from each set of
statements.
9. If two angles are complementary, then the sum of their measures is 90. If
the sum of the measures of two angles is 90, then both of the angles are
^
/~\ r
^
10. If the heat wave continues, then air conditioning will be used more
frequently. If air conditioning is used more frequently, then energy costs
will be higher.
Chapter 2 Review
Glencoe Geometry