Name____________________
Geometry Chapter 2 Review
1.
What is the next item in the pattern?
A ) 11
2.
-1, 3, -5, 7, -9 …
B) 10
C) -11
D) 13
Which is a counterexample that shows that the following conjecture is false: “If 1 and 2 are
supplementary, then one of the angles is obtuse”?
A)
m1  45 and m2  45
B)
m1  53 and m2  127 
C)
m1  90  and m2  90 
D)
m1  100  and m2  80 
3.
Given: All snarfs are yelbs. All yelbs are blue. Migs can be either green or pink. Some slokes are snarfs.
What conclusion can be drawn?
A)
B)
C)
D)
All slokes are migs.
Some migs are snarfs.
Some slokes are yelbs.
Some snarfs are green.
4.
Given the conditional statement “If you live in Missouri, then you live in the United States,” which
statement would also be true?
A ) Converse
B) Inverse
C) Contrapositive
5.
Which symbolic statement represents the Law of Syllogism?
A)
B)
C)
D)
If p → q and q→ r are true statements, then p → r is a true statement.
If p → q and p → r are true statements, then q → r is a true statement.
If p → q and r → q are true statements, then q → p is a true statement.
If p → r and q → r are true statements, then p → q is a true statement.
D) None are true
6.
What group of items is next in the pattern?
X0X, X00X, X000X, …
A)
B)
C)
D)
XX0000XX
X00000X
X0000X
X000X
7.
8.
9.
10.
Determine if the following conjecture is true or false:
A ) False
B) True
“There are 28 days in February.”
C) Law of Detachment
D) Law of Syllagism
For #11-15, match the missing blanks with the correct response listed below:
A
E
C
G
2
4
1
B
3
D
F
H
Given: ABD = EFH and 2 = 4
Prove: 1 = 3
Statements
Reasons
1) ABD = EFH and 2 = 4
1) Given
2) __________#11______________
2) Angle Addition Post
3) __________#12______________
3) __________#13_______________
4) 1 + 4 = 3 + 4
4) Substitution Property
5) __________#14______________
5) __________#15_______________
Answers:
A) 1 + 2 = 3 + 4
B) Subtraction Property of Equality
C) ABD = 1 + 2 and EFH = 3 + 4
D) 1 = 3
E) Substitution Property
For #16-20 identify the property or law that justifies each statement.
16) ABD  ABD
a. Symmetric Property of Equality
b. Reflexive Property of Congruence
c. Transitive Property of Congruence
d. Symmetric Property of Congruence
e. Distributive Property
17) If A  B , then AC  BC
a. Symmetric Property of Equality
b. Reflexive Property of Equality
c. Transitive Property of Congruence
d. Symmetric Property of Congruence
e. Multiplication Property of Equality
18) If B  A , then A  B
a. Symmetric Property of Equality
b. Reflexive Property of Equality
c. Transitive Property of Congruence
d. Symmetric Property of Congruence
e. Distributive Property
19) If x = y and y = z, then x = z
a. Symmetric Property of Equality
b. Reflexive Property of Equality
c. Transitive Property of Equality
d. Symmetric Property of Congruence
e. Distributive Property
20) If Q  R and R  T , then Q  T
a. Law of Syllogism
b. Reflexive Property of Equality
c. Law of Detachment
d. Segment Addition Postulate
e. Distributive Property
21) Which property is NOT used when solving:
a. Reflexive Property of Equality
b. Addition Property of Equality
c. Division Property of Equality
d. Symmetric Property of Equality
15  2x  1?
22) Identify the property that justifies the statement “If B  A , then A  B .”
a. Symmetric Property of Equality
b. Reflexive Property of Equality
c. Transitive Property of Congruence
d. Symmetric Property of Congruence
23) Given the statements, which conclusion is valid?
 If two angles are supplementary, then their sum is 1800.
 Q and R are supplementary
a. mQ  1800  mR
b. mQ  1800  mR
c. Q is a straight angle.
d. No conclusion is valid.