Download Geom Review 5A

Geometry
Unit 5
Test Review
Show all work on a separate sheet of work paper. Follow the criteria for credit.
Competency 1: Identify Congruence
(HSMS 4.1.08)
For questions 1 – 5, decide which congruence
postulate, if any, you can use to prove that the
given triangles are congruent.
Write the congruence statement and identify
the postulate.
M
5.
6cm
6cm
N
1.
D
A
Competency 2: Congruence of Triangles
(HSMS 4.1.08, 5.2.05)
6.
B
E
C
P
O
Given the diagram below:
N
F
R
O
2.
N
M
P
R
Which corresponding parts need to be
congruent in order to prove
ROP  NOM by ASA?
M
S
T
a. MO  PO
O
b. N  R
c.
3.
A
P
3
d. NO  RO
B
2
3
NOM  ROP
7.
Given the following diagram.
C
Q
2
R
4.
Which corresponding parts need to be
congruent in order to prove
WXZ  WYZ by SAS?
A
D
a. WZ  WZ
C
b. WZY  WZX
B
c.
E
X  Y
d. XWZ  YWZ
Created 6/2010
Page 1 of 5
Geometry
8.
Unit 5
Given the diagram below.
Competency 3: Completing Proofs
(HSMS 4.1.08, 5.2.06, 5.2.12, 5.2.13)
C
D
Test Review
Given: AB  DE, AB || DE
10.
B
Prove: ∆ABC  ∆DEC
E
E
If E  B , which congruence
postulate/theorem justifies
ABC  DEF ?
C
D
d. AAS
B
Statement
1. AB  DE
AB || DE
2. A  D
B  E
3. ABC  DEC
e. HL
What is the missing reason in the above proof?
a. SSS
b. SAS
c. ASA
9.
A
A
F
Given the diagram below.
11.
Z
Reason
1. Given
2.
3. ASA
Given: XY  XZ, XW  YZ
Prove: 1  2
X
X
Y
V
1 2
W
Y
If VY  XY , which congruence
postulate/theorem justifies
VYZ  XYE ?
Statement
1. XY  XZ
XW  YZ
2. 3   4
a. SSS
b. SAS
c. ASA
d. AAS
3.
e. HL
4. XWY, XWZ
are right s
5. XWY XWZ
6. 1  2
3 4
W
Z
Reason
1. Given
2. If 2 lines are
, they form
right angles
3. Reflexive
Property
4.Definition of
a right 
5. HL Theorem
6. CPCTC
What is the missing statement in the above
proof?
Created 6/2010
Page 2 of 5
Geometry
12.
Unit 5
Given: AB II DC and ADB  CBD
Prove: ADB  CBD
Test Review
13.
Given: VW  VY and V is the midpoint
of XZ .
Prove: VWZ   VYX
D
C
W
V
A
X
B
Z
Statements
1. DBA  BDC
Reasons
1. If lines are parallel,
then alternate interior
angles are 
2. ADB  CBD
3. AB II DC
2. ASA
3. Given
4. DB  DB
4. Reflexive Property
5. ADB  CBD
5. Given
Which of the following choices puts the
statements and reasons in a correct order?
Statements
1. V is the midpoint
of XZ
Y
Reasons
1. Given
2. VWZ   VYX
3. VZ  VX
2. SAS
3. Definition of Midpoint
4. WVZ  YVX
4. Definition of
Vertical angles
5. VW  VY
5. Given
Which of the following choices puts the
statements and reasons in a correct order?
a.
2, 4, 1, 5, 3
b.
2, 4, 3, 1, 5
a.
5, 1, 3, 4, 2
c.
3, 5, 1, 4, 2
b.
3, 4, 5, 1, 2
d.
3, 5, 4, 2, 1
c.
3, 4, 1, 5, 2
d.
5, 4, 3, 1, 2
Created 6/2010
Page 3 of 5
Geometry
14.
Unit 5
Given: S is the midpoint of TV and
TR  VR
Test Review
17.
Given the diagram below:
J
Prove: ∆RST  ∆RSV
D
R
E
T
Statements
Reasons
1. S is the midpoint
of TV
1. Given
2. TR  VR
2. Given
3. RS  SR
3. Reflexive Property
4. VS  TS
4. Definition of Midpoint
5. ∆RST  ∆RSV
5. SAS
F
18.
Write the equation of a line that has a yintercept of –3 and is parallel to the
2
graph of y  x .
3
19.
Is the following argument valid or
invalid? If it’s invalid, provide a
counterexample.

Which reason in the above proof is incorrect
and what is the correct reason?


Competency 4: Geometry Distributed
Practice
15.
Given the diagram below and a  b
If today is Friday, I’m eating fish
for dinner.
Today is Friday the 13th.
Therefore, tonight I’m eating fish
for dinner.
Competency 5: Algebra Distributed
Practice
Factor:
If the m1  3x  60 and
m2  6x  30 , then what is the
m1 and m2?
16.
20.
x2 + 8x + 15
21.
2x2 + 7x + 3
22.
x2 – 25
Solve for x:
What is the slope of the line
perpendicular to the graph of
3x + 2y = 8?
Created 6/2010
H
What two lines are skew to DG ?
V
S
G
K
I
Page 4 of 5
23.
x2 – 16 = 0
24.
x2 – 5x – 6 = 0
Geometry
Unit 5
Answers:
ABC  DFE
1.
ASA
RST  MNO
2.
SSS
PQR  BAC
3.
SAS
4.
Not Possible
MNO  MPO
5.
HL
6.
B
7.
C
8.
D
9.
B
10.
Alternate Interior Angles are congruent
11.
WX  WX
12.
C
13.
A
14.
#5, SSS
15.
m1  150, m2  150
16.
m
17.
Two answers
2
3
JK , IH , KE , FH
2
x 3
3
18.
y
19.
Valid
20.
 x  5 x  3
21.
 2x  1 x  3
22.
 x  5 x  5
23.
x = 4, x = -4
24.
x = 6, x = -1
Created 6/2010
Page 5 of 5
Test Review