Geometry 1st Semester Final Review Chapter 4

Geometry 1st Semester Final Review Chapter 4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Given
which side is congruent to
a.
b.
c.
d.
e. Cannot be determined
____
2. Which statement correctly describes the congruence of the triangles in the diagram?
a.
b.
c.
d.
e. None of these
Short Answer
Decide whether it is possible to prove that the triangles are congruent. If so, construct a proof validating
your opinion.
1.
2.
3.
4.
5.
6.
7.
8.
Find the value of x.
9.
10.
11.
12.
13.
Classify the transformation as a reflection, rotation, or translation.
14.
15.
16.
The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified
translation.
17. P(–5, 4), Q(1, 4), R(1, 1); (x, y)
(x + 1, y – 5)
18. A(–2, –1), B(–3, 4), C(–1, 3), D(–1, –1); (x, y)
(x – 4, y – 2)
Classify the triangle by its angles and by its sides.
19.
20.
Geometry 1st Semester Final Review Chapter 4
Answer Section
MULTIPLE CHOICE
1. ANS:
TOP:
BLM:
2. ANS:
TOP:
BLM:
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Comprehension
NOT:
A
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
Level A
REF: G1.04.EN.ST.03
SAT/ACT | congruent triangles
978-0-618-65613-4
Level B
REF: G1.04.EN.ST.04
SAT/ACT | congruent triangles
SHORT ANSWER
1. ANS:
yes; HL Theorem
PTS: 1
DIF: Level A
REF: Geo.04.TestA.Eng.08
TOP: Ch. 4 Test, Level A
KEY: Pre-made Test | congruent triangles | right triangles | HL
BLM: Analysis
NOT: 978-0-618-65613-4
2. ANS:
yes; SSS, SAS, or ASA Postulates
PTS: 1
DIF: Level A
REF: Geo.04.TestA.Eng.10
TOP: Ch. 4 Test, Level A
KEY: Pre-made Test | congruent triangles | SSS Congruence Postulate | SAS congruence | ASA
BLM: Analysis
NOT: 978-0-618-65613-4
3. ANS:
yes; SSS, SAS, or ASA Postulates
PTS: 1
DIF: Level A
REF: Geo.04.TestA.Eng.11
TOP: Ch. 4 Test, Level A
KEY: Pre-made Test | congruent triangles | SSS Congruence Postulate | SAS congruence | ASA
BLM: Analysis
NOT: 978-0-618-65613-4
4. ANS:
yes; SAS Postulate
PTS: 1
DIF: Level A
REF: Geo.04.TestA.Eng.12
TOP: Ch. 4 Test, Level A
KEY: Pre-made Test | congruent triangles | SAS congruence
BLM: Analysis
NOT: 978-0-618-65613-4
5. ANS:
yes; SAS
PTS: 1
DIF: Level B
REF: Geo.04.TestB.Eng.09
TOP: Ch. 4 Test, Level B
KEY: Pre-made Test | congruent triangles
BLM: Analysis
NOT: 978-0-618-65613-4
6. ANS:
yes; ASA
PTS: 1
DIF: Level B
REF: Geo.04.TestB.Eng.10
TOP: Ch. 4 Test, Level B
KEY: Pre-made Test | congruent triangles
BLM: Analysis
NOT: 978-0-618-65613-4
7. ANS:
no
PTS: 1
DIF: Level C
REF: Geo.04.TestC.Eng.07
NAT: NCTM 9-12.GEO.1.b
TOP: Ch. 4 Test, Level C
KEY: Pre-made Test | congruent triangles
BLM: Analysis
NOT: 978-0-618-65613-4
8. ANS:
yes; ASA
PTS: 1
DIF: Level C
REF: Geo.04.TestC.Eng.11
TOP: Ch. 4 Test, Level C
KEY: Pre-made Test | congruent triangles
BLM: Analysis
NOT: 978-0-618-65613-4
9. ANS:
40
PTS:
STA:
KEY:
BLM:
10. ANS:
17.5
1
DIF: Level A
REF: Geo.04.TestA.Eng.14
MO.MOGCLE.MTH.07.GEO.M.2.B.1
TOP: Ch. 4 Test, Level A
Pre-made Test | triangles | angle measure | interior angle | exterior angle
Comprehension
NOT: 978-0-618-65613-4
PTS:
STA:
KEY:
NOT:
11. ANS:
35
1
DIF: Level A
REF: Geo.04.TestA.Eng.17
MO.MOGCLE.MTH.07.GEO.M.2.B.1
TOP: Ch. 4 Test, Level A
Pre-made Test | triangles | angle measure
BLM: Comprehension
978-0-618-65613-4
PTS: 1
DIF: Level A
TOP: Ch. 4 Test, Level A
BLM: Comprehension
12. ANS:
13
REF: Geo.04.TestA.Eng.18
KEY: Pre-made Test | isosceles triangles | side lengths
NOT: 978-0-618-65613-4
PTS:
STA:
KEY:
NOT:
13. ANS:
78
1
DIF: Level C
REF: Geo.04.TestC.Eng.13
MO.MOGCLE.MTH.07.GEO.M.2.B.1
TOP: Ch. 4 Test, Level C
Pre-made Test | right triangles | angle measure
BLM: Comprehension
978-0-618-65613-4
PTS:
STA:
KEY:
NOT:
1
DIF: Level C
REF: Geo.04.TestC.Eng.18
MO.MOGCLE.MTH.07.GEO.M.2.B.1
TOP: Ch. 4 Test, Level C
Pre-made Test | isosceles triangles | angle measure
BLM: Comprehension
978-0-618-65613-4
14. ANS:
rotation
PTS: 1
DIF: Level A
TOP: Ch. 4 Test, Level A
BLM: Comprehension
15. ANS:
reflection
REF: Geo.04.TestA.Eng.21
KEY: Pre-made Test | transformations | rotations
NOT: 978-0-618-65613-4
PTS: 1
DIF: Level A
TOP: Ch. 4 Test, Level A
BLM: Comprehension
16. ANS:
translation
REF: Geo.04.TestA.Eng.22
KEY: Pre-made Test | transformations | reflections
NOT: 978-0-618-65613-4
PTS: 1
DIF: Level A
TOP: Ch. 4 Test, Level A
BLM: Comprehension
17. ANS:
REF: Geo.04.TestA.Eng.24
KEY: Pre-made Test | transformations | translations
NOT: 978-0-618-65613-4
PTS:
NAT:
TOP:
BLM:
18. ANS:
1
DIF: Level B
NCTM 9-12.GEO.3.a
Ch. 4 Test, Level B
Comprehension
REF:
STA:
KEY:
NOT:
Geo.04.TestB.Eng.21
MO.MOGCLE.MTH.07.GEO.G.3.A.1
Pre-made Test | transformations
978-0-618-65613-4
PTS: 1
DIF: Level B
NAT: NCTM 9-12.GEO.3.a
TOP: Ch. 4 Test, Level B
BLM: Comprehension
19. ANS:
right isosceles
REF:
STA:
KEY:
NOT:
Geo.04.TestB.Eng.22
MO.MOGCLE.MTH.07.GEO.G.3.A.1
Pre-made Test | transformations
978-0-618-65613-4
PTS: 1
DIF: Level A
REF: Geo.04.Quiz1.Eng.01
NAT: NCTM 9-12.GEO.1.a
TOP: Quiz 1
KEY: classifying triangles | isosceles triangles | right triangles
BLM: Comprehension
NOT: 978-0-618-65613-4
20. ANS:
acute scalene
PTS:
NAT:
KEY:
NOT:
1
DIF: Level A
REF: Geo.04.Quiz1.Eng.03
NCTM 9-12.GEO.1.a
TOP: Quiz 1
classifying triangles | acute triangle | scaleneBLM:
Comprehension
978-0-618-65613-4