Download Test #2 Review 1

Test 2 Review 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which number is equivalent to
?
a. –3.75
b. –0.375
____
____
c. –0.38
d. 3.8
2. Which number is not between
and
a.
c.
b.
d.
3. Which values describe the positions of A and B?
A
B
–2
a.
–1
c.
and
b. –2.25 and –0.75
____
and
4. Which of the following rational numbers are equivalent?
, D:
a. A and B
b. C and D
c. B and D
d. A and C
5. Which quotient is equivalent to –5.3?
a.
b.
____
and
d.
A: 2.7, B: 7.2, C:
____
?
c.
d.
6. Which point represents –4.4?
A
–4.8
a. A
b. B
B
C
–4
D
–3.2
–2.4
c. C
d. D
–1.6
____
7. Which point represents
F
G
–1.6
?
H
–0.8
I
0
a. F
b. G
____
1.6
c. H
d. I
8. Determine the measure of the central angle subtended by minor arc BC. The radii divide the circle into equal
parts.
a. 45
b. 90
____
0.8
c. 60
d. 120
9. If C = 96, determine the measure of M.
a. 96
b. 56
c. 48
d. 32
____ 10. Which statement is true about the following circle?
a. SCR is smaller than SQR
b. CR is a chord
c. PQR is subtended by minor arc PS
d. none of these
____ 11. Determine the measure of M.
a. 186
b. 93
____ 12. Which angles are subtended by minor arc PS?
c. 87
d. 74
a. C only
b. R, Q, and CSR
c. C, R, and Q
d. none of them
____ 13. Determine the measure of X.
a. 40
b. 10
c. 20
d. 80
____ 14. Which angles have the same measurement?
a. V and Z
b. X, Z and Y
c. V, X and Y
d. V, X and Z
____ 15. Determine the measure of A and E.
a. 96, 30
b. 150, 84
c. 75, 42
d. not enough information
____ 16. Determine the measure of ABC and CBD.
a. 60, 60
b. 60, 50
c. 50, 50
d. 100, 50
____ 17. If BD = 6 cm and BC = 3 cm then the length of AD is:
a. 3 cm
b. 9 cm
c. 12 cm
d. 8 cm
____ 18. In the diagram below, AB = BD and GC = EB. Which angles are 90?
a. ABC, CDE, CBD
b. GFE
c. ABC, GFE
d. CDE
____ 19. A chord is 7.0 cm from the centre of the circle of radius 18.0 cm. How long is the chord?
a. 18.0 cm
c. 16.6 cm
b. 19.3 cm
d. 25 cm
Short Answer
20. Write
as the quotient of two integers.
21. Order the following numbers from least to greatest.
–13.2,
2
,
22. Order the following numbers from least to greatest.
23. List three rationals between -4 1/3 and -3 2/3.
24. List three rationals between 3 3/4, 4 3/4.
25. If DA = 12 cm, determine the length of BC and CD.
26. Draw a circle. Use chord properties to find its centre.
27. Determine which line segment is a chord, which is a tangent, and which is a radius.
28. If PN = 29.5 cm and CM = 14.0 cm, determine the length of PO, to the nearest tenth of a centimetre.
Problem
29. Do you agree or disagree with the following statement? Why?
You can always name more than one other rational number between any two rational numbers.
30. Determine the measure of all angles within the circle.
31.
Is it possible to draw another 75 angle without a protractor? If so, how?
Post Test 2 Extra Review
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
2. ANS:
OBJ:
3. ANS:
OBJ:
4. ANS:
OBJ:
5. ANS:
OBJ:
6. ANS:
OBJ:
7. ANS:
OBJ:
8. ANS:
OBJ:
KEY:
9. ANS:
OBJ:
KEY:
10. ANS:
OBJ:
KEY:
11. ANS:
OBJ:
KEY:
12. ANS:
OBJ:
KEY:
13. ANS:
OBJ:
KEY:
14. ANS:
OBJ:
15. ANS:
OBJ:
KEY:
16. ANS:
OBJ:
17. ANS:
OBJ:
18. ANS:
OBJ:
B
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
A
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
C
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
D
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
A
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
B
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
B
PTS: 1
DIF: Grade 9
REF: 1.1
N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
B
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle
C
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle| inscribed angles
D
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle| inscribed angles
B
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle| inscribed angles
C
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle| inscribed angles
C
PTS: 1
DIF: Grade 9
REF: 9.1
SS1
TOP: Relating the Central Angle to an Inscribed Angle
subtend| arc| central angle| inscribed angles
C
PTS: 1
DIF: Grade 9
REF: 9.2
SS1
TOP: Comparing Inscribed Angles
KEY: subtend| arc| inscribed angles
A
PTS: 1
DIF: Grade 9
REF: 9.2
SS1
TOP: Comparing Inscribed Angles
subtend| arc| inscribed angles| central angle
B
PTS: 1
DIF: Grade 9
REF: 9.2
SS1
TOP: Comparing Inscribed Angles
KEY: subtend| arc| inscribed angles
C
PTS: 1
DIF: Grade 9
REF: 9.3
SS1
TOP: Chord Properties
KEY: perpendicular bisector| chord
B
PTS: 1
DIF: Grade 9
REF: 9.3
SS1
TOP: Chord Properties
KEY:
19. ANS:
OBJ:
KEY:
perpendicular bisector| arc| subtend| chord| inscribed angles
C
PTS: 1
DIF: Grade 9
REF: 9.4
SS1
TOP: Applying Chord Properties
perpendicular bisector| chord| Pythagorean theorem
SHORT ANSWER
20. ANS:
PTS: 1
DIF: Grade 9
TOP: Interpreting Rational Numbers
21. ANS:
,
, -13
2
REF: 1.1
OBJ: N3
KEY: rational numbers
PTS: 1
DIF: Grade 9
REF: 1.2
TOP: Compring and Ordering Rational Numbers
KEY: negative rational numbers | positive rational numbers
22. ANS:
OBJ: N3
PTS: 1
DIF: Grade 9
REF: 1.2
TOP: Compring and Ordering Rational Numbers
KEY: negative rational numbers | positive rational numbers
23. ANS:
For example, -4 1/3, -4, -3 5/6
OBJ: N3
PTS: 1
DIF: Grade 9
REF: 1.2
TOP: Compring and Ordering Rational Numbers
KEY: negative rational numbers | positive rational numbers
24. ANS:
For example, 3 7/8, 4 1/4, 4 1/2.
OBJ: N3
PTS: 1
DIF: Grade 9
REF: 1.2
TOP: Compring and Ordering Rational Numbers
KEY: negative rational numbers | positive rational numbers
25. ANS:
AD = CD = 6 cm
OBJ: N3
PTS: 1
DIF: Grade 9
TOP: Chord Properties
26. ANS:
E.g.,
OBJ: SS1
REF: 9.3
KEY: chord
PTS: 1
DIF: Grade 9
TOP: Chord Properties
27. ANS:
chord: JH, tangent: KH, radius: CI
REF: 9.3
OBJ: SS1
KEY: chord| perpendicular bisector
PTS: 1
DIF: Grade 9
TOP: Tangent Properties
28. ANS:
18.7 cm
REF: 9.5
OBJ: SS1
KEY: chord| tangent
PTS: 1
DIF: Grade 9
TOP: Tangent Properties
REF: 9.5
OBJ: SS1
KEY: tangent| Pythagorean theorem
PROBLEM
29. ANS:
Agree: Any number that can be written as a quotient of integers is a rational number. If you write one rational
number that is between the two others, you can always choose a different integer denominator to write
another rational number that is between the one you just wrote and one of the original numbers. For example,
between
and
you can name
. Between
and
you can name
.
PTS: 1
DIF: Grade 9
REF: 1.1
OBJ: N3
TOP: Interpreting Rational Numbers
KEY: rational numbers
30. ANS:
SCR = 104, SRC = 38, RCP = 104, CPR= 38, PRC = 38, RPQ = 26, PQR = 128, QRP =
26
PTS: 1
DIF: Grade 9
REF: 9.1
OBJ: SS1
TOP: Relating the Central Angle to an Inscribed Angle
KEY: subtend| inscribed angles| central angle| arc
31. ANS:
Yes, choose any point on the same side as N and join it to M and P. Since these two angles
are subtended by minor arc MP, they will be of equal size.
PTS: 1
DIF: Grade 9
TOP: Comparing Inscribed Angles
REF: 9.2
OBJ: SS1
KEY: subtend| inscribed angles| arc| central angle