REVIEW for Geometry Test - Chapter 4 Triangles and Congruence
1. Classify LMN.
2. Find the value of x:
3. Find the value of x.
4. Find the value of x.
5. Find the measure of the interior angles to the nearest tenth. (Drawing is not to scale.)
____
6. Which pair of lengths can be two of the sides of an isosceles triangle which has a perimeter of 45 inches?
a. 13 inches, 16 inches
c. 13 inches, 17 inches
b. 15 inches, 12 inches
d. 11 inches, 16 inches
7. What is the value of z? (The figure may not be drawn to scale.)
8. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.
____
9. If
a.
b.
, and
c.
d.
____ 10. If
a.
b.
which statement is NOT true?
c.
d.
, which of the following statements is false?
____ 11. Refer to the figure below. Which of the following statements is true?
I
J
L
H
K
a.
by HL
b. There are no congruent triangles.
12. What must be true in order for
c.
d.
by SSS
by SSS
by the SAS Congruence Postulate?
____ 13. Refer to the figure shown. Which of the following statements is true?
a.
b.
14.
c.
d.
. Name the theorem or postulate that justifies the congruence.
15. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 34 degrees and its
2 congruent sides measure 19 units?
16. Find the values of x and y.
17. Given
;
find
.
P
O
N
18. Name an obtuse triangle.
REVIEW for Geometry Test - Chapter 4 Triangles and Congruence
Answer Section
1. ANS:
Equilateral
PTS:
TOP:
KEY:
NOT:
2. ANS:
31°
1
DIF: Level A
REF: MLGE0222
Lesson 4.1 Apply Triangle Sum Properties
triangle | classify | isosceles | equilateral | scalene
978-0-618-65613-4
NAT: NCTM 9-12.GEO.1.a
PTS:
STA:
TOP:
BLM:
3. ANS:
51
1
DIF: Level A
REF: MHGM0049
MO.MOGCLE.MTH.07.GEO.M.2.B.1
Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | theorem | exterior
Comprehension
NOT: 978-0-618-65613-4
PTS:
STA:
TOP:
BLM:
4. ANS:
°
1
DIF: Level A
REF: MHGM0050
MO.MOGCLE.MTH.07.GEO.M.2.B.1
Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | exterior | exterior angle
Comprehension
NOT: 978-0-618-65613-4
BLM: Knowledge
PTS: 1
DIF: Level A
REF: MOT70177
STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1
TOP: Lesson 4.1 Apply Triangle Sum Properties
KEY: angle | right | triangle | sum
BLM: Comprehension
NOT: 978-0-618-65613-4
5. ANS:
72.4°, 71.4°, 36.2°
PTS:
STA:
TOP:
BLM:
6. ANS:
TOP:
BLM:
7. ANS:
1
DIF: Level B
REF: MLGE0224
MO.MOGCLE.MTH.07.GEO.M.2.B.1
Lesson 4.1 Apply Triangle Sum Properties
KEY: solve | triangle sum
Comprehension
NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: MC100123
Lesson 4.1 Apply Triangle Sum Properties
KEY: triangle | perimeter | side | isosceles
Application NOT: 978-0-618-65613-4
PTS:
STA:
TOP:
KEY:
BLM:
8. ANS:
1
DIF: Level B
REF: MCT90016
MO.MOGCLE.MTH.07.GEO.M.2.B.1
Lesson 4.1 Apply Triangle Sum Properties
angle | triangle | sum | interior | supplement | complementary | exterior
Comprehension
NOT: 978-0-618-65613-4
t = 4.5 ft; u = 31°; v = 90°; w = 59°; x = 8.7 ft
9.
10.
11.
12.
PTS:
TOP:
BLM:
ANS:
NAT:
KEY:
NOT:
ANS:
TOP:
BLM:
ANS:
TOP:
BLM:
ANS:
1
DIF: Level B
REF: MHGM0045
Lesson 4.2 Apply Congruence and Triangles
KEY: triangle | missing | congruent
Comprehension
NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level B
REF: DJAM1027
NCTM 9-12.GEO.1.b
TOP: Lesson 4.2 Apply Congruence and Triangles
triangles | congruent
BLM: Comprehension
978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: MCT90021
Lesson 4.2 Apply Congruence and Triangles
KEY: triangle | congruent
Comprehension
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: MLGE0231
Lesson 4.4 Prove Triangles Congruent by SAS and HL
KEY: triangle | congruence
Comprehension
PTS:
TOP:
BLM:
13. ANS:
TOP:
KEY:
NOT:
14. ANS:
ASA
1
DIF: Level B
REF: HLGM0307
Lesson 4.4 Prove Triangles Congruent by SAS and HL
Knowledge NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
Lesson 4.4 Prove Triangles Congruent by SAS and HL
triangle | parallel lines | congruence | ASA | SAS
978-0-618-65613-4
PTS:
TOP:
KEY:
NOT:
15. ANS:
73°
1
DIF: Level B
REF: MHGM0080
Lesson 4.5 Prove Triangles Congruent by ASA and AAS
triangle | congruence | ASA | HL | AAS | SAS
BLM: Comprehension
978-0-618-65613-4
KEY: triangle | congruent | SAS
REF: MLGE0234
BLM: Comprehension
PTS: 1
DIF: Level B
REF: TASH0121
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: angle | triangle | isosceles
BLM: Comprehension
NOT: 978-0-618-65613-4
16. ANS:
x = 32°, y = 74°
PTS:
STA:
TOP:
BLM:
17. ANS:
NO =
1
DIF: Level B
REF: PHGM0402 NAT: NCTM 9-12.GEO.1.a
MO.MOGCLE.MTH.07.GEO.M.2.B.1
Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: angle | isosceles | exterior angle
Comprehension
NOT: 978-0-618-65613-4
51
4
PTS: 1
DIF: Level B
REF: MLGM0035 NAT: NCTM 9-12.GEO.1.b
TOP: Lesson 4.7 Use Isosceles and Equilateral Triangles
KEY: variable | triangle | properties
BLM: Comprehension
NOT: 978-0-618-65613-4
18. ANS:
PTS:
TOP:
KEY:
NOT:
1
DIF: Level A
REF: MHGM0048
Lesson 4.1 Apply Triangle Sum Properties
identify | right | obtuse | acute | triangle
BLM: Knowledge
978-0-618-65613-4