Chapter 9 Study Guide
Find the square roots of the number.
____
1. 20,164
a.
b.
c.
d.
Approximate the square root to the nearest integer.
____
2.
a. 14
b. 17.3
Evaluate the expression when
____
c. 140
d. 13
c. 4
d. 3
and
3.
a. 5
b. 9
Simplify the expression.
____
____
____
____
4.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
5.
6.
7.
Find the unknown length. Round to the nearest tenth, if necessary.
____
8.
a. 11.4 in.
b. 27.4 in.
c. 32.0 in.
d. 22.8 in.
Find the unknown length. Express your answer in simplest form.
____
9.
a.
b.
c.
d.
____ 10. Which of the following lengths could form the sides of a right triangle?
a.
b.
c.
d.
____ 11. Determine which set of three numbers could represent the sides of a right triangle.
a. 21, 21, 30
b. 20, 22, 29
c. 21, 22, 28
d. 20, 21, 29
The lengths of two sides of a right triangle are given. Find the length of the third side.
____ 12.
a. 16
b.
____ 13. A telephone pole breaks and falls as shown.
c.
d. 15
To the nearest foot, what was the original height of the pole?
a. 17 ft
b. 19 ft
c. 18 ft
d. 20 ft
____ 14. How long is a string reaching from the top of a 10-ft pole to a point on the ground that is 9 ft from the base of the
pole?
a.
ft
b.
ft
c.
ft
d.
ft
____ 15. A radio station is going to construct a 9-foot tower on top of a building. The tower will be supported by three
cables, each attached to the top of the tower and to points on the roof of the building that are 12 feet from the
base of the tower. Find the total length of the three cables.
a. 45 ft
____ 16.
b. 60 ft
c. 15 ft
d. 75 ft
c.
d.
is a right triangle. AB = _____.
a. 117
b.
____ 17. For the triangle shown below, the Pythagorean Theorem states that _____.
a.
b.
c. e = f + g
d.
Find the distance between the points. Write your answer in simplest form.
____ 18.
a. 34
b.
2 10
c. 40
d.
Find the midpoint of the segment with the given endpoints.
____ 19.
a.
–31, –11
b.

31
11
, 
2
2
c.
–3, 25
d.
3 25
 ,
2 2
34
____ 20. Find the distance between the points A and B.
a.
b.
c.
____ 21. Find the slope of the line that contains (2, 4) and
a.
c. 0
b. undefined
d.
Find the unknown length. Write your answer in simplest form.
____ 22.
12
y
a.
c.
b.
d.
Find the unknown lengths. Write your answers in simplest form.
____ 23.
d.
y
8
45°
x
a.
c.
b.
d.
a.
c.
b.
d.
____ 24.
____ 25.
10
a. x = 5 , y = 5
c.
b. x = 5 , y = 5
d. x =
x=
,y=
20
3
, y = 10
Chapter 9 Study Guide
Answer Section
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12. ANS:
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13. ANS:
C
PTS: 1
DIF: Level A
REF: MLPA0407
Lesson 9.1 Square Roots
KEY: square root
BLM: Knowledge
978-0-618-79813-1
D
PTS: 1
DIF: Level A
REF: MLPA0413
Lesson 9.1 Square Roots
KEY: approximate | square root
Comprehension
NOT: 978-0-618-79813-1
D
PTS: 1
DIF: Level B
REF: MLPA0411
Lesson 9.1 Square Roots
KEY: square root | evaluate expression
Application NOT: 978-0-618-79813-1
A
PTS: 1
DIF: Level A
REF: MLPA0420
Lesson 9.2 Simplifying Square Roots
simplifying expressions | square root | quotient property of square roots
Comprehension
NOT: 978-0-618-79813-1
C
PTS: 1
DIF: Level B
REF: MLPA0421
Lesson 9.2 Simplifying Square Roots
simplifying expressions | square root | quotient property of square roots
Comprehension
NOT: 978-0-618-79813-1
A
PTS: 1
DIF: Level A
REF: MLPA0422
Lesson 9.2 Simplifying Square Roots
simplifying expressions | square root | product property of square roots
Comprehension
NOT: 978-0-618-79813-1
B
PTS: 1
DIF: Level B
REF: MLPA0428
Lesson 9.2 Simplifying Square Roots
simplifying expressions | square root | product property of square roots
Comprehension
NOT: 978-0-618-79813-1
A
PTS: 1
DIF: Level A
REF: MLC30523
OK.PASS.MTH.02.8.3.2
TOP: Lesson 9.3 The Pythagorean Theorem
Pythagorean Theorem | right triangles
BLM: Knowledge
978-0-618-79813-1
C
PTS: 1
DIF: Level A
REF: MLPA0430
OK.PASS.MTH.02.8.3.2
TOP: Lesson 9.3 The Pythagorean Theorem
Pythagorean Theorem | right triangles
BLM: Knowledge
978-0-618-79813-1
D
PTS: 1
DIF: Level B
REF: MLPA0431
Lesson 9.3 The Pythagorean Theorem
Pythagorean Theorem converse | right triangles
BLM: Comprehension
978-0-618-79813-1
D
PTS: 1
DIF: Level B
REF: GMPA0585
Lesson 9.3 The Pythagorean Theorem
Pythagorean Theorem converse | right triangles
BLM: Comprehension
978-0-618-79813-1
D
PTS: 1
DIF: Level B
REF: MLPA0432
OK.PASS.MTH.02.8.3.2
TOP: Lesson 9.3 The Pythagorean Theorem
Pythagorean Theorem | right triangles
BLM: Comprehension
978-0-618-79813-1
C
PTS: 1
DIF: Level A
REF: HMBM0679
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OK.PASS.MTH.02.8.3.2
TOP: Lesson 9.3 The Pythagorean Theorem
word | right triangles | Pythagorean | hypotenuse
BLM: Knowledge
978-0-618-79813-1
B
PTS: 1
DIF: Level B
REF: MGEO0018
Lesson 9.3 The Pythagorean Theorem
word | right triangles | Pythagorean Theorem
BLM: Application
978-0-618-79813-1
A
PTS: 1
DIF: Level B
REF: MGEO0019
Lesson 9.3 The Pythagorean Theorem
word | Pythagorean Theorem | right triangles
BLM: Application
978-0-618-79813-1
C
PTS: 1
DIF: Level B
REF: HLGM0696
Lesson 9.3 The Pythagorean Theorem
right triangles | Pythagorean Theorem | hypotenuse
BLM: Knowledge
978-0-618-79813-1
A
PTS: 1
DIF: Level B
REF: HLGM0706
Lesson 9.3 The Pythagorean Theorem
KEY: Pythagorean Theorem
Comprehension
NOT: 978-0-618-79813-1
D
PTS: 1
DIF: Level A
REF: MLPA0442
OK.PASS.MTH.02.8.4.3.a.II
TOP: Lesson 9.5 The Distance and Midpoint Formulas
distance formula
BLM: Comprehension
978-0-618-79813-1
B
PTS: 1
DIF: Level A
REF: MLPA0443
OK.PASS.MTH.02.8.4.3.a.II
TOP: Lesson 9.5 The Distance and Midpoint Formulas
midpoint formula
BLM: Comprehension
978-0-618-79813-1
A
PTS: 1
DIF: Level B
REF: MLPA0446
OK.PASS.MTH.02.8.4.3.a.II
TOP: Lesson 9.5 The Distance and Midpoint Formulas
graph | distance formula
BLM: Comprehension
978-0-618-79813-1
C
PTS: 1
DIF: Level A
REF: MALG0658
Lesson 9.5 The Distance and Midpoint Formulas
KEY: slope
Comprehension
NOT: 978-0-618-79813-1
B
PTS: 1
DIF: Level A
REF: MLPA0448
Lesson 9.6 Special Right Triangles
special right triangles | 30-60-90 triangle
BLM: Comprehension
978-0-618-79813-1
D
PTS: 1
DIF: Level B
REF: MLPA0453
Lesson 9.6 Special Right Triangles
special right triangles | 45-45-90 triangle
BLM: Comprehension
978-0-618-79813-1
C
PTS: 1
DIF: Level B
REF: MLPA0454
Lesson 9.6 Special Right Triangles
special right triangles | 45-45-90 triangle
BLM: Comprehension
978-0-618-79813-1
B
PTS: 1
DIF: Level B
REF: MLPA0456
Lesson 9.6 Special Right Triangles
special right triangles | 30-60-90 triangle
BLM: Comprehension
978-0-618-79813-1