1. Use inductive reasoning to
describe each pattern and find the
next two terms of each sequence.
A. 2, -6, 18, -54 …
B. 1, 5, 26, 677…
2. Find a counter example.
a. If a figure has 4 sides, then it is
a parallelogram.
b. The product of two numbers is
larger than either number.
3. Write the converse, inverse and
contrapositive of the following
conditional statement. For each
statement give a true or false
value, if false, give a counter
example.
If the product of two numbers is 0, then
one of the two numbers is 0.
4. Write the converse of each
statement. If the converse is true,
write true, if it is not true provide a
counter example.
a. If a number is divisible by 3,
then it is odd.
b. Two angles are adjacent, then
they are complements.
5. Test each statement and see if it is
reversible. If yes, write it as a true
biconditional. If not write not
reversible.
a. A line is named with any 3
points.
b. An octagon is a polygon with
exactly 8 sides
6. If possible, make a conclusion from
the given true statement.
a. If it is Sunday, then there is
football on TV. There is
football on TV.
b. If an angle is a right angle,
then it is not obtuse. Angle A
is 90 degrees.
c. If a whole number ends in 2,
then it is divisible by 2. If a
whole number is divisible 2,
then it is even.
d. If you are in high school, then
you go to Beavercreek High
School. If you go to
Beavercreek High school, then
you take an English class. If
you take an English class, then
you have to read a book. If
you have to read a book, then
you have homework. If you
have to do homework, then
you do not have a lot of free
time. If you do not have a lot
of free time, then you cannot
watch TV. If you cannot watch
TV, then you do not see
commercials. If you do not
see commercials, then you are
not wasting time. If you are
not wasting time, then you are
being productive.
e. If it is Monday, then you walk
your dog. You are walking
your dog.
7. Given: 5𝑥 − 2 = 7𝑥 + 4
Prove: 𝑥 = −8
8. G
i
v
e
n
:
m

B
O
F
=
m

F
O
D
P
r
o
v
e
:
2
m

B
O
F
=
m

A
O
E
Statements
Reasons
1)
1) Given
2)
2) Angle Addition Postulate
3) BOF + mBOF = mBOD
3)
4) 2(mBOF) = mBOD
4) Combine like terms.
5) AOE = BOD
5)
6)
6) Definition of Congruence
7) 2mBOF = mAOE
7)
9. Find the value of x.
10. Complete the paragraph proof
below.
Given:
1 and 2 are complementary
2 and 3 are complementary
BD bisects ABC
Prove: m1 = 45
Name:___________________________________________
Geometry 2014-2015
Chapter 2 Practice Test
6
Name:___________________________________________
Geometry 2014-2015
Chapter 2 Practice Test
7