Quarter 1 Test Review
Geometry
Name_______________________________
Match the following words from the word bank with their definitions.
_______ 1. Has no dimension and is represented by a dot
_______ 2. Points that lie on the same line
_______ 4. A point, line, line segment, ray or plane that bisects a line segment
_______ 5. The point that divides a segment into two congruent segments
_______ 7. Angles with the same measure
_______ 8. Two angles whose sum is 180
_______ 9. Two adjacent angles that sum is 180
_______ 10. A ray that divides an angle into two congruent angels
Word Banka) Acute Angle
b) Point
c) Congruent Angles
e) Supplementary angles
f) Angle Bisector
g) Midpoint
i) Postulate j) Segment Bisector
11) FH is the angle bisector of EFG .
d) Linear Pair
h) Collinear
12) Find ST, if PT  40; QS  12; and PQ  QR  RS .
P
Q
R
S
T
H
mHFG = 80
E
F
G
mEFH 
mEFG 
13) Describe in words what the following symbols
represent. CD
ST = ___________________
14) Describe in words what the following symbols
represent. AB
15) Suppose M is between L and N. Use segment
addition to solve for the variable. Then find the
lengths of LMand MN .
LM  7 y  9; MN  3 y  4; LN  143
16) If P  4, 4 ; Q 1, 6  ; R  1, 3 , then find
PQ and QR
LM = ____________
PQ = ______________ QR = _______________
MN = _____________
17) Find m SRT 
18) Find the coordinate of the midpoint of AB when
A  1,7  and B  3, 3 .
S
R
mQRS = 160
Q
T
mQRT = 20
mSRT 
19) Find mPNO
M
,

20) A and B are supplementary. Find the
measures of A and B if:
mA  6 x  1
mPNM = 45
mB  5 x  17
P
M
mMNO = 60
N
O
x
mPNO 
mA 
mB 
21) FH is the angle bisector of EFG .
22) Solve for x.
(
)°
(
)°
x=
x
m HFG 
m EFH 
m EFG 
23) Show the conjecture is false by finding a
counterexample:
Complete the statement. Name the property illustrated.
24) x + 5 = _________________,
If a number is divisible by 3, then it is odd.
Property = _______________________
25) If MN + HJ = 34,
then ______________ = ________________.
Property = _______________________
26) If AB = CD, and CD = EF
then __________ = ______________
Property = _______________________
27) Write the statements follow the statements that are
given:
28) Write the statements follow the statements that are
given:
If I am in the city of Baltimore, then I am in the state
of Maryland.
If I am in the state of Maryland, then I am in North
America.
If you are a student, then you can learn Geometry
Sally is a student.
29) Find the value of x and the measure of each angle
30) Find the slope of the line through
(5, -2) and (8, 4).
31) For the given statement provide the inverse,
converse, and contrapositive. For each
statement that you write, provide the
symbolic notation for the statement
32) Find the value of x.
Statement: If the subject is math then
the subject is fascinating
33) Find the value of x.
34) Find the value of x.
35) Tell whether the lines through the given points are
parallel, perpendicular, or neither.
Line 1  AB
Line 2  CD
A  3,1 C  9,9 
36) Let p be represented by “I will study for the
quarter test.” Let q be represented by the phrase “I
will pass the quarter test.”
Write the symbolic representation for each phrase:
a) “If I study for the quarter test, then I will not
pass the quarter test.”
B  6, 1 D  3, 3
b) “If I pass the quarter test, then I do not study
for the quarter test.”
c) “If I will not pass the quarter test, then I will
not study for the quarter test.”
37) Given:
B is between A and D
C is between A and D
Prove:
A
AB+ BD = AC + CD
Statements
B
C
D
Reasons
1. B is between A and D
1. _________________________________________
2. AB + BD = AD
2. Segment Addition Postulate
3. AC + CD = AD
3. _______________________________________
4. AD = AC + CD
4. Symmetric Property of Equality
5. AB + BD = AC+ CD
5. _________________________________________
38) Complete the following proof.
Given: 1 and
Prove:
D
C
1
2 are supplementary. 1  3
AD || BC
3
2
A
Statements
B
Reasons
1.
1.
2. m1  m2  180
2. Definition of Supplementary Angles
3. 1  3
3.
4.
4. Definition of Congruent Angles
5. m3  m2  180
5.
6. 2 and 3 are Supplementary
6. Definition of Supplementary Angles
7.
7.