Download Geometry SIA #1

Name: ________________________ Class: ___________________ Date: __________
Geometry SIA #1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. What is the intersection of plane STXW and plane TUYX?



a.
____


b.
UY


c.
SW



d.
TX
2. If EF  9 and EG  26, find the value of FG. The drawing is not to scale.
a.
b.
____
VZ
9
17
c.
d.
16
19
3. If Z is the midpoint of RT , what are x, RZ, and RT?
a.
b.
x = 16, RZ = 42, and RT = 21
x = 18, RZ = 21, and RT = 42
c.
d.
1
x = 14, RZ = 17, and RT = 34
x = 16, RZ = 21, and RT = 42
ID: A
Name: ________________________
____
ID: A
4. Complete the statement.
DEF  ?
a. DGF
b. GDF
____
c.
d.
DFE
DFG
5. If mEOF  28 and mFOG  39, then what is the measure of EOG? The diagram is not to scale.
a.
67
b.
11
c.
78
d.
56


____
6. MO bisects LMN, mLMO  6x  22, and mNMO  2x  30. Solve for x and find mLMN. The
diagram is not to scale.
a.
b.
x = 12, mLMN  100
x = 13, mLMN  56
c.
d.
2
x = 12, mLMN  50
x = 13, mLMN  112
Name: ________________________
____
ID: A
7. Find the values of x and y.
c.
d.
x = 36, y = 144
x = 20, y = 9
8. Identify a pair of same-side interior angles.
a. 1 and 7
b. 2 and 5
c.
d.
8 and 7
3 and 8
9. What are three pairs of corresponding angles?
a. angles 1 & 8, 2 & 3, and 4 & 5
b. angles 1 & 7, 8 & 6, and 3 & 5
c.
d.
angles 1 & 2, 5 & 6, and 4 & 7
angles 1 & 2, 3 & 8, and 4 & 7
a.
b.
x = 144, y = 36
x = 9, y = 20
Use the diagram to find the following.
____
____
3
Name: ________________________
ID: A
____ 10. Line f is parallel to line g. Find the value of x. The diagram is not to scale.
a.
–14
b.
15
c.
13
d.
14
____ 11. Which lines are parallel if m4  m7? Justify your answer.
a.
b.
c.
d.
l
l
r
r




m, by the Converse of the Same-Side Interior Angles Theorem
m, by the Converse of the Alternate Interior Angles Theorem
s, by the Converse of the Alternate Interior Angles Theorem
s, by the Converse of the Same-Side Interior Angles Theorem
____ 12. Find the value of x for which p is parallel to q, if m1  3x and m3  102.The diagram is not to scale.
a.
99
b.
102
c.
4
34
d.
105
Name: ________________________
ID: A
____ 13. Find the value of x for which l is parallel to m. The diagram is not to scale.
a.
160
b.
80
c.
141
d.
39
c.
145
d.
97
c.
28
d.
43
M
d.
none of these
____ 14. Find the value of x. The diagram is not to scale.
a.
42
b.
83
____ 15. Find the value of x. The diagram is not to scale.
a.
18
b.
65
____ 16. Name the angle included by the sides PN and NM .
a.
N
b.
P
c.
5
Name: ________________________
ID: A
____ 17. What other information do you need in order to prove the triangles congruent using the SAS Congruence
Postulate?
a.
b.
AC  BD
CBA  CDA
c.
d.
BAC  DAC
AC  BD
c.
d.
VTU and ABC
ABC and TUV
____ 18. Which triangles are congruent by ASA?
a.
b.
none
VTU and HGF
6
Name: ________________________
ID: A
____ 19. What is the missing reason in the two-column proof?





Given: QS bisects TQR and SQ bisects TSR
Prove: TQS  RQS
Statements
Reasons



1. QS bisects TQR
2. TQS  RQS
3. QS  QS
1. Given
2. Definition of angle bisector
3. Reflexive property


4. SQ bisects TSR
5. TSQ  RSQ
6. TQS  RQS
a.
b.
4. Given
5. Definition of angle bisector
6. ?
SAS Postulate
ASA Postulate
c.
d.
SSS Postulate
AAS Theorem
c.
66°
____ 20. What is the value of x?
a.
71°
b.
142°
7
d.
132°
ID: A
Geometry SIA #1
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
TOP:
DOK:
2. ANS:
OBJ:
TOP:
DOK:
3. ANS:
OBJ:
TOP:
DOK:
4. ANS:
OBJ:
TOP:
DOK:
5. ANS:
OBJ:
TOP:
DOK:
6. ANS:
OBJ:
STA:
TOP:
KEY:
7. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
8. ANS:
OBJ:
STA:
KEY:
9. ANS:
OBJ:
STA:
KEY:
D
PTS: 1
DIF: L3
REF: 1-2 Points, Lines, and Planes
1-2.1 Understand basic terms and postulates of geometry STA: MA.912.G.8.1
1-2 Problem 3 Finding the Intersection of Two Planes
KEY: plane | intersection of two planes
DOK 2
B
PTS: 1
DIF: L2
REF: 1-3 Measuring Segments
1-3.1 Find and compare lengths of segments
STA: MA.912.G.1.1
1-3 Problem 2 Using the Segment Addition Postulate
KEY: segment | segment length
DOK 1
D
PTS: 1
DIF: L3
REF: 1-3 Measuring Segments
1-3.1 Find and compare lengths of segments
STA: MA.912.G.1.1
1-3 Problem 4 Using the Midpoint KEY: segment | segment length | midpoint
DOK 2
A
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
1-4 Problem 3 Using Congruent Angles
KEY: congruent angles
DOK 2
A
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
1-4 Problem 4 Using the Angle Addition Postulate
KEY: Angle Addition Postulate
DOK 2
D
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
1-5 Problem 4 Using an Angle Bisector to Find Angle Measures
angle bisector
DOK: DOK 2
D
PTS: 1
DIF: L4
REF: 2-6 Proving Angles Congruent
2-6.1 Prove and apply theorems about angles
MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5
2-6 Problem 1 Using the Vertical Angles Theorem
Vertical Angles Theorem | vertical angles | supplementary angles | multi-part question
DOK 2
C
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
MA.912.G.7.2
TOP: 3-1 Problem 2 Identifying an Angle Pair
transversal | angle pair
DOK: DOK 1
B
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
MA.912.G.7.2
TOP: 3-1 Problem 2 Identifying an Angle Pair
angle pair | transversal
DOK: DOK 1
1
ID: A
10. ANS:
OBJ:
STA:
KEY:
11. ANS:
OBJ:
TOP:
DOK:
12. ANS:
OBJ:
TOP:
DOK:
13. ANS:
OBJ:
TOP:
DOK:
14. ANS:
OBJ:
STA:
TOP:
KEY:
15. ANS:
OBJ:
STA:
TOP:
KEY:
16. ANS:
REF:
OBJ:
STA:
KEY:
17. ANS:
REF:
OBJ:
STA:
KEY:
18. ANS:
REF:
OBJ:
STA:
KEY:
19. ANS:
REF:
OBJ:
STA:
TOP:
DOK:
D
PTS: 1
DIF: L4
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 4 Using Algebra to Find an Angle Measure
corresponding angles | parallel lines | angle pairs
DOK: DOK 2
B
PTS: 1
DIF: L2
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 1 Identifying Parallel Lines
KEY: parallel lines | reasoning
DOK 2
C
PTS: 1
DIF: L4
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 4 Using Algebra
KEY: parallel lines | angle pairs
DOK 2
B
PTS: 1
DIF: L3
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 4 Using Algebra
KEY: parallel lines | transversal
DOK 2
B
PTS: 1
DIF: L2
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 2 Using the Triangle Exterior Angle Theorem
triangle | sum of angles of a triangle
DOK: DOK 2
A
PTS: 1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 2 Using the Triangle Exterior Angle Theorem
triangle | sum of angles of a triangle | vertical angles
DOK: DOK 2
A
PTS: 1
DIF: L2
4-2 Triangle Congruence by SSS and SAS
4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 2 Using SAS
angle
DOK: DOK 1
A
PTS: 1
DIF: L4
4-2 Triangle Congruence by SSS and SAS
4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 2 Using SAS
SAS | reasoning
DOK: DOK 2
C
PTS: 1
DIF: L2
4-3 Triangle Congruence by ASA and AAS
4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS Theorem
MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
TOP: 4-3 Problem 1 Using ASA
ASA
DOK: DOK 1
B
PTS: 1
DIF: L3
4-3 Triangle Congruence by ASA and AAS
4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS Theorem
MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
4-3 Problem 2 Writing a Proof Using ASA
KEY: ASA | proof
DOK 2
2
ID: A
20. ANS:
REF:
OBJ:
STA:
KEY:
DOK:
C
PTS: 1
DIF: L2
4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum Theorem
DOK 2
3