Geometry A – Assessment 2 Study Guide
Name: ______________
Score: ___________/ 40
1. Write the converse, inverse and contrapositive of
the following conditional statement: If you live
in San Diego, then you live in California.
Converse: If you live in CA, then you live in
SD.
Inverse: If you don’t live in SD, then you
don’t live in CA.
Contrapositive: If you don’t live in CA, then
you don’t live in SD.
For problems 2 and 3, use the law of Syllogism to
determine the correct conclusions for the given
statements.
2. If I make money working, then I can go
shopping.
If I can go shopping, then I am happy.
If I make money working, then I am happy.
11. Find x. x = 8
12. H is the midpoint of GJ, J is the midpoint of
HK, GK = 30, GH = 2x. Find x and GJ.
G
H
J
2x+2x+2x = 30; X = 5; GJ = 20
Use the figure below for problems 13-16:
C
4. AB  AB
Reflexive
F
1
O 30º
2
A
3. If r  q and q  p then
r p
For problems 4-7, state the property that justifies
each statement.
K
E
B
D
Assumptions: Are the following assumptions valid?
If not, indicate reason why.
13.  AOC = 90º no; can’t assume right angle
5. If A  P then P  A . Symmetric
6. If XY  PQ then
XY PQ
. Division

2
2
7. If 3( x  6)  0 then 3x  18  0 . Distributive
8. What is the complement of 47º?
43º
9. What is the supplement of 82º?
98º
10. A and B are a linear pair. A = 5x + 12
and B = 4x – 3. Find x.
x = 19
14. AO  OB
15.
no; can’t assume congruency
 FOB = 30º
yes
Conclusions: Based on the figure and given
statement, indicate the appropriate conclusions (at
least 2).
16. Given:  COF +  FOB are complementary
Conclusions:
They add up to 90º
COB is a right angle

 
OC
OB
COF is 60º.
1
Rev C.1
Geometry A – Assessment 2 Study Guide
Name: ______________
Score: ___________/ 40
Complete the following proofs.
17. If
x
 1  4 then x  15 ( 3 or 5 steps)
3
Statement
1.
Use the following figure for problem 20.
Reason
x
1  4
3
1. Given
x 
3
2.   1  3(4)
3 
2. Multiplication
3. x + 3 = -12
3. Distributive
4. x + 3 -3 = -12 -3
4. Subtraction
5. x=-15
5. Substitution
20. Given that m5  60 , find the measure of all
the other angles.
5=7=9=12=60º;
6=8=10=11=120º
21. Find the m1 93º
18. If 2(5 – 3x) – 4(x + 7) = 92 then x = -11
(5 or 6 steps)
Statements
Reasons
1. 2(5 – 3x) – 4(x + 7) = 92
1. Given
2. 10-6x-4x-28 = 92
2. Distributive
3. -18 -10x = 92
3. Substitution
4. -10x =110
4. Addition
5. Division
10 x 110
5.

10 10
6. x = -11
6. Substitution
1
22. Find x so that e ||f
a.
b.
Use the following figure for problem 19.
x = 10
x = 10
19. Name two pairs of angles for each of the
following types of pairs of angles
a. Exterior Angles 18, 19, 24, 25
b. Interior Angles 20, 21, 23, 22
c. Consecutive Interior Angles (Same
Side Interior) 20, 22 and 21, 23
d. Alternate Exterior Angles
18, 25 and 19, 24
e. Alternate Interior Angles
20, 23 and 21,22
f. Corresponding Angles
18, 22; 20,24; 19,23; 21,25
2
Rev C.1