Download Angles (Topic Test)

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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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Topic test
Angles
Name:
l
Time allowed: 45 minutes
l
Calculators are not allowed.
A — OCB
l
Part A: 20 multiple-choice questions (40 marks)
B — AOC
l
Part B: 15 free-response questions (60 marks)
C — AOB
4 The marked angle is:
A
O
B
D — BOC
Part A
C
20 multiple-choice questions
2 marks each: 40 marks
Circle the correct answer.
5 Find a.
A 110
1 Find x.
B 120
A 5
C 140
B 105
85° x°
120º 40º
aº
D 200
C 85
D 95
6 The marked angles are:
A alternate
B corresponding
2 Find y.
×
C complementary
A 75
B 105
105°
y°
D co-interior
C 85
D 15
7 If these angles were listed from smallest to
largest, the order would be:
3 Vertically opposite angles are:
W
X
A equal
B supplementary
Z
C complementary
Y
D corresponding
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
A YZXW
B YXZW
C ZWXY
D ZXWY
Measurement and Geometry: Geometric reasoning
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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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8 Which angle is vertically opposite — PTS?
13 Measure the size of — DEF.
D
P
A — QTP
Q
B — STP
C — RTS
T
S
R
D — QTR
F
9 — ABD ¼ ?
A 1168
B 408
35º
C 358
75º
A
B 568
C 648
D 1248
D
C
A 1108
E
B
D 158
14 Find p.
A 70
140º
pº pº
B 20
C 140
10 Find u.
D 40
A 50
u
B 140
100º
C 80
15 Find n.
A 75
D 100
B 95
75º
nº
C 105
11 Co-interior angles on parallel lines are:
D 150
A complementary
B equal
C supplementary
D vertically opposite
16 Which angle is alternate to u?
A r
12 The angles marked are:
B y
A alternate
C w
B complementary
D v
C co-interior
r
×
s
t
u
v
w
x
y
×
D corresponding
17 Which angle is complementary to 808?
A 108
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
B 908
C 1008
Measurement and Geometry: Geometric reasoning
D 1808
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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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Part B
18 Which statement is true?
15 free-response questions
2 marks each unless otherwise specified: 60 marks
A An acute angle is 908.
B A straight angle is the size of two right
angles.
Show working where appropriate
21 Mark a pair of alternate angles.
C A revolution is between 2708 and 3608.
D An obtuse angle is between 1808 and 2708.
19 What is the size of the acute angle between the
hands of a clock at 10 o’clock?
A 608
11
B 208
12
2
10
C 308
22 Find x.
1
9
D 808
3
4
8
7
6
60º
40º
xº
5
23 Draw a right angle and label it — PQR. Include
the right angle symbol on your diagram.
20 Which statements is false?
Q
L
R
K
J
T
S
P
M
24 (8 marks) Which angle is:
A LM ? PQ.
a b
c d
B JK intersects PQ at R.
C — QRM and — PRM are equal.
D — RSK and — TSM are vertically opposite.
e f
g h
a co-interior to c? _____________
b alternate to c? _____________
c vertically opposite c? _____________
d corresponding to c? _____________
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
Measurement and Geometry: Geometric reasoning
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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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25 Measure the size of the marked angle.
29 (14 marks) Find the value of each pronumeral,
stating the reasons as corresponding, alternate
or cointerior.
a
xº
115º
b
26 Find r.
eº
130º
rº
rº
c
bº
100º
27 (3 marks) Find a, b and c.
115º
aº
cº bº
d
125º
yº
28 (5 marks) From this diagram, name:
G
E
e
I
A
J
xº
B
K
60º
C
L
D
M
F
f
H
a the pair of parallel lines, using the symbol for
kº
60º
‘is parallel to’
b the point of intersection of lines AB and EF
g
dº
c a line that is a transversal
35º
d an angle that is supplementary to — JLM
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
Measurement and Geometry: Geometric reasoning
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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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30 (10 marks) Complete each blank with an
appropriate word.
33 Find b.
a _____________________ angles add to 908.
160º
150º
bº
b There are 3608 in a ___________________.
c Parallel lines never ___________________.
d __________________ lines intersect at 908.
e _______________ angles are found between
two lines and on the same side of the
34 Is UV parallel to WX? Give a reason for your
answer.
U
transversal.
W
31 Use a protractor to construct a 358 angle.
74º
Y
S
V
114º
Z
T
X
35 In this diagram, — DKH and — ILG are both
equal to 818. Is DE parallel to FG? Give reasons
for your answer.
H
81º
D
32 Find y.
F
yº
E
K
L
81º
G
I
40º
This is the end of the test.
Use the back for extra working space.
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
Measurement and Geometry: Geometric reasoning
www.nelsonnet.com.au
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MAT07MGTT10002_Angles.3d] [9/2/012/11:11:52] [1–6]
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Answers
1 C
2 A
3 A
4 D
5 A
6 D
7 C
8 D
9 A
10 D
11 C
12 D
13 B
14 A
15 C
16 D
17 A
18 B
19 A
20 B
21
or
22 20
23
P
Q
R
24 a e
b f
c b
d g
b J
c EF or GH
d — FLM or — CLJ
25 1258
26 45
27 a ¼ 65, b ¼ 115, c ¼ 65
28 a AB jj CD
29 a x ¼ 115 (corresponding)
d y ¼ 125 (corresponding)
b e ¼ 130 (alternate)
c b ¼ 80 (co-interior)
e x ¼ 60 (alternate)
f k ¼ 120 (co-interior)
b revolution
c cross or intersect or meet
g d ¼ 35 (alternate)
30 a Complementary
d Perpendicular
e Co-interior
31 Teacher to check
32 130
33 50
34 Not parallel. The co-interior angles are not supplementary. 748 þ 1148 ¼ 1888 = 1808
35 DE jj FG
— EKL ¼ — DKH ¼ 818 (vertically opposite angles)
; — EKL ¼ — ILG ¼ 818
; DE jj FG (corresponding angles are equal)
© Cengage Learning Australia Pty Ltd 2011
MAT07MGTT10002
Measurement and Geometry: Geometric reasoning
www.nelsonnet.com.au