Review Chapter 1

Name: ________________________ Class: ___________________ Date: __________
REVIEW
GEOMETRY UNIT 1 COMMON ASSESMENT
1 Name three points that are collinear.
3 Draw a labeled diagram for an angle.
A
B
A
B
C
D
points T, Q, and R
points T, Q, and S
points S, Q, and R
points T, S, and R
C

→
2 PR is represented by which sketch?
D
F
G
H
J
4 If RS = 39.3 and QS = 54.4, find QR.
F
15.1
ID: A
G
5.1
H
93.7
1
J
39.3
Name: ________________________
ID: A
9 Which angle measures approximately 112°?
5 Let B be between C and D . Use the Segment
Addition Postulate to solve for w.
CB = 4w− 4
BD = 2w− 8
CD = 24
A
B
C
D
A
w = 10
w=6
w=4
w = –2
B
6 If AB = 17 and AC = 32, find the length of BC .
C
F
G
H
J
17
5
49
15
D
7 Find the distance between the points (–7, 3) and
(–15, –3).
10 If m∠BOD = 46° and m∠BOC = 26°, then what is
the measure of ∠COD?
8 Find the midpoint of the segment with endpoints
(1, –4) and (–9, 6).
F
G
H
J
2
25°
20°
17°
18°
Name: ________________________
ID: A

→
11 m∠SQR = (2x + 8)° and m∠PQR = (9x − 4)° and
m∠SQP = 70°.
Find m∠SQR and m∠PQR.
15 AB bisects ∠LAX and ∠LAX measures 96°. Find
the measure of ∠XAB.

→
16 In the figure (not drawn to scale), MO bisects
∠LMN, m∠LMO = (6x − 40)°, and
m∠NMO = (x + 65)°. Solve for x and find m∠LMN.
12 m∠SQR = (2x + 6)° and m∠PQR = (10x − 5)° and
m∠SQP = 61°.
Find m∠SQR and m∠PQR.
F
G
H
J
5, 10°
21, 251°
5, 61°
21, 172°
17 In the figure shown, m∠AED = 133°. True or
False: ∠AEB and ∠CED are adjacent angles and
m∠AEB = 133°.
F
G
H
J
m∠SQR
m∠SQR
m∠SQR
m∠SQR
= 10° and
= 51° and
= 16° and
= 45° and
m∠PQR
m∠PQR
m∠PQR
m∠PQR
= 51°
= 10°
= 45°
= 16°
13 Classify the angle as right, acute, or obtuse.
18 Which is not a possible value for y in the figure
below?
F
G
H
J
14 The measure of angle B is 110°. Classify angle B as
an acute, right, or obtuse angle.
3
151
79
66
106
Name: ________________________
ID: A
Complete the conditional statement to make a true
statement.
22 Name a polygon with 6 sides.
F
G
H
J
19 If ∠G and ∠H are supplementary and m∠H = 94°,
then ________.
20 If ∠R and ∠S are complementary and m∠R = 15°,
then
F
G
H
J
pentagon
hexagon
quadrilateral
octagon
23 Find the perimeter and area of a rectangle with
length 125 ft and width 30 ft.
m∠S = 75°
m∠S = 165°
m∠S = 195°
m∠S = 105°
24 Find the area of a circle with radius 50 cm. Use
3.14 for π .
25 Find the circumference of the circle. Use π = 3.14.
21 Name the regular polygon.
A
B
C
D
87.92 in.
153.86 in.
43.96 in.
7.72 in.
26 Find the area:
27 Your parents ask you to mow the lawn. It is a square plot that is 19 ft on each side and it has a square cement
fountain in the center that is 2 ft on each side. What is the area of the lawn that you will mow?
4
ID: A
REVIEW
Answer Section
GEOMETRY UNIT 1 COMMON ASSESMENT
1 ANS: A
PTS: 1
DIF: Level A
REF: MLGE0084
TOP: Lesson 1.1 Identify Points, Lines, and Planes
KEY: points | collinear
BLM: Comprehension
NOT: 978-0-618-65613-4
2 ANS: H
PTS: 1
DIF: Level A
REF: MHGT0077
STA: TX TEKS G.7.A | TX GEO.G.7.A TOP: Lesson 1.1 Identify Points, Lines, and Planes
KEY: identify | ray BLM: Knowledge NOT: 978-0-618-65613-4
3 ANS: B
PTS: 1
DIF: Level A
REF: MHGM0506
STA: TX TAKS 7.Gd2.A | TX TEKS G.7.A | TX GEO.G.7.A
TOP: Lesson 1.1 Identify Points, Lines, and Planes
KEY: line | angle | draw | segment | ray
BLM: Knowledge NOT: 978-0-618-65613-4
4 ANS: F
PTS: 1
DIF: Level B
REF: PHGM0109
TOP: Lesson 1.2 Use Segments and Congruence
KEY: segment length | segment addition postulate
BLM: Application
NOT: 978-0-618-65613-4
5 ANS: B
PTS: 1
DIF: Level B
REF: MHGM0013
TOP: Lesson 1.2 Use Segments and Congruence
KEY: solve | variable | segment addition postulate
BLM: Application
NOT: 978-0-618-65613-4
6 ANS: J
PTS: 1
DIF: Level A
REF: DBXM1001
TOP: Lesson 1.2 Use Segments and Congruence
KEY: segment length | segment addition postulate
BLM: Application
NOT: 978-0-618-65613-4
7 ANS:
10 units
PTS: 1
DIF: Level A
REF: PAIA0304
STA: TX TEKS G.7.C | TX 10.7.8.7.B | TX GEO.G.7.C
TOP: Lesson 1.3 Use Midpoint and Distance Formulas
BLM: Application NOT: 978-0-618-65613-4
8 ANS:
(–4, 1)
PTS:
STA:
TOP:
BLM:
9 ANS:
TOP:
BLM:
10 ANS:
TOP:
BLM:
1
DIF: Level A
REF: XEGS1204
TX TEKS G.7.C | TX 10.7.8.7.B | TX GEO.G.7.C
Lesson 1.3 Use Midpoint and Distance Formulas
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
Lesson 1.4 Measure and Classify Angles
Knowledge NOT: 978-0-618-65613-4
G
PTS: 1
DIF: Level B
Lesson 1.4 Measure and Classify Angles
Application NOT: 978-0-618-65613-4
1
NAT: NCTM 9-12.GEO.2.a
KEY: distance formula | coordinate geometry
NAT: NCTM 9-12.GEO.2.a
KEY: midpoint formula
REF: MLP10245
KEY: angle | measure
REF: MHGM0014
KEY: angle measure | angle addition postulate
ID: A
11 ANS:
m∠SQR = 20° and m∠PQR = 50°
PTS:
STA:
TOP:
BLM:
12 ANS:
NAT:
STA:
TOP:
BLM:
13 ANS:
acute
1
DIF: Level C
REF: MLGE0191 NAT: NCTM 9-12.REP.2 | NCTM 9-12.PRS.3
TX TAKS 2.Ab3.B | TX 10.1.Ab1.C | TX 10.2.Ab3.B | TX 10.4.Ac4.B | TX 10.5.Ad2.A
Lesson 1.4 Measure and Classify Angles
KEY: angle addition postulate | angle measure
Synthesis
NOT: 978-0-618-65613-4
H
PTS: 1
DIF: Level C
REF: MLGE0216
NCTM 9-12.REP.2 | NCTM 9-12.PRS.3
TX TAKS 2.Ab3.B | TX 10.1.Ab1.C | TX 10.2.Ab3.B | TX 10.4.Ac4.B | TX 10.5.Ad2.A
Lesson 1.4 Measure and Classify Angles
KEY: angle addition postulate | angle measure
Synthesis
NOT: 978-0-618-65613-4
PTS: 1
DIF:
KEY: angle | classify
14 ANS:
obtuse
Level A
REF: ACG40040
BLM: Knowledge
TOP: Lesson 1.4 Measure and Classify Angles
NOT: 978-0-618-65613-4
PTS: 1
DIF:
KEY: angle | classify
15 ANS:
m∠XAB = 48°
Level A
REF: MPPA1218
BLM: Knowledge
TOP: Lesson 1.4 Measure and Classify Angles
NOT: 978-0-618-65613-4
PTS:
KEY:
NOT:
16 ANS:
TOP:
KEY:
NOT:
17 ANS:
False
1
DIF: Level B
REF: MLGE0088 TOP: Lesson 1.4 Measure and Classify Angles
angle bisector | angle measure
BLM: Comprehension
978-0-618-65613-4
J
PTS: 1
DIF: Level B
REF: MLGE0245
Lesson 1.4 Measure and Classify Angles
solve | linear equation | angle bisector | angle measure
BLM: Application
978-0-618-65613-4
PTS: 1
DIF: Level B
REF: MLGE0217
TOP: Lesson 1.5 Describe Angle Pair Relationships
KEY: vertical angles | adjacent angles
BLM: Comprehension
NOT: 978-0-618-65613-4
18 ANS: H
PTS: 1
DIF: Level B
REF: MIM20664
TOP: Lesson 1.5 Describe Angle Pair Relationships
KEY: angle measure | supplementary angles |straight angle
BLM: Synthesis
NOT: 978-0-618-65613-4
19 ANS:
m∠G = 86°
PTS: 1
DIF: Level B
REF: MGEO0043
TOP: Lesson 1.5 Describe Angle Pair Relationships
BLM: Application NOT: 978-0-618-65613-4
2
STA: TX TEKS G.3.A | TX GEO.G.3.A
KEY: supplementary angles | angle measure
ID: A
20 ANS: F
PTS: 1
DIF: Level B
REF: MGEO0044
STA: TX TEKS G.3.A | TX GEO.G.3.A TOP: Lesson 1.5 Describe Angle Pair Relationships
KEY: angle measure | complementary angles
BLM: Application
NOT: 978-0-618-65613-4
21 ANS:
pentagon
PTS: 1
DIF: Level A
REF: BD011258
NAT: NCTM 9-12.GEO.1.a
STA: TX TAKS 6.Gc1.A | TX TEKS G.9.B | TX GEO.G.9.B TOP: Lesson 1.6 Classify Polygons
KEY: regular polygon | name
BLM: Knowledge NOT: 978-0-618-65613-4
22 ANS: G
PTS: 1
DIF: Level A
REF: AMP40097
NAT: NCTM 9-12.GEO.1.a
STA: TX TAKS 6.Gc1.A | TX TEKS G.9.B | TX GEO.G.9.B
TOP: Lesson 1.6 Classify Polygons
KEY: polygon | name
BLM: Knowledge NOT: 978-0-618-65613-4
23 ANS:
perimeter = 310 ft
area = 3750 ft 2
PTS: 1
DIF: Level B
REF: MLGE0090 NAT: NCTM 9-12.MEA.2.b
STA: TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A
TOP: Lesson 1.7 Find Perimeter, Circumference, and Area
KEY: area | perimeter | rectangle
BLM: Application NOT: 978-0-618-65613-4
24 ANS:
7850 cm2
PTS: 1
DIF: Level B
REF: MLGE0221 NAT: NCTM 9-12.MEA.2.b
STA: TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A
TOP: Lesson 1.7 Find Perimeter, Circumference, and Area
KEY: circle | area
BLM: Application NOT: 978-0-618-65613-4
25 ANS: C
PTS: 1
DIF: Level B
REF: MLGE0395
TOP: Lesson 1.7 Find Perimeter, Circumference, and Area
KEY: circle | circumference
BLM: Application NOT: 978-0-618-65613-4
26 ANS:
240 yd2
PTS:
STA:
TOP:
BLM:
1
DIF: Level B
REF: MLGE0396 NAT: NCTM 9-12.MEA.2.b
TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TEKS G.8.A | TX GEO.G.8.A
Lesson 1.7 Find Perimeter, Circumference, and Area
KEY: area | triangle
Application NOT: 978-0-618-65613-4
3
ID: A
27 ANS:
357 ft 2
PTS: 1
DIF: Level C
REF: MLGE0091
NAT: NCTM 9-12.PRS.2 | NCTM 9-12.MEA.2.b
STA: TX TAKS 6.Gc1.C | TX TAKS 8.Ge1.A | TX TAKS 8.Ge1.B | TX TAKS 10.8.14.A | TX TEKS G.8.A |
TX 10.2.Ab2.D | TX 10.3.Ac2.G | TX 10.4.Ac4.A | TX 10.5.Ad3.A | TX 10.7.8.7.B | TX 10.8.8.8.C | TX
10.8.8.9.A | TX 10.9.8.3.B | TX 10.10.8.14.A | TX GEO.G.8.A
TOP: Lesson 1.7 Find Perimeter, Circumference, and Area
KEY: square | area | composite
BLM: Application NOT: 978-0-618-65613-4
4