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MATHEMATICS
FORM 3
MODULE 2
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POLYGONS II
MINISTRY OF EDUCATION MALAYSIA
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MODULE 2: POLYGONS II
Arahan:
1. Modul ini mengandungi tiga puluh enam soalan. Semua soalan adalah dalam
bahasa Inggeris.
2. Modul merangkumi tujuh konstruk yang diuji
K1 - Memahami soalan dalam bahasa InggerisK3 - Memahami istilah matematik dalam bahasa InggerisK5 - Menguasai konstruk pengetahuanK - Menguasai konstruk ke!ahamanK" # Menguasai konstruk kemahiranK$ # Mengungkapkan idea%in!ormasi dalam bahasa InggerisK1& # Memahami pengajaran dan pembelajaran dalam bahasa Inggeris
3. Murid hendaklah menulis maklumat diri dalam kertas ja'apan objekti! disediakan. Murid juga perlu memastikan maklumat konstruk( nombor soalandan jumlah soalan seperti yang diba)a oleh guru di dalam ruangan disediakandalam kertas ja'apan objekti! sebelum ujian.
4. *agi soalan objektif ( anda perlu menandakan ja'apan dengan menghitamkan pilihan jawapan pada pilihan ja'apan A , B , C atau D pada kertas ja'apanobjekti!.
+ontoh:
Antara berikut( yang manakah hai'an,
A. okok *. Kambing +. Kereta . en
5. /ntuk soalan subjektif ( ja'apan hendaklah ditulis pada kertas berasinganyang disediakan oleh guru.
6. 0a'ab semua soalan.
Modul ini mengandungi 18 halaman ber)etak
2
D A B C E
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1 In a regular polygon, all sides are o e!ual leng"# and all in"erior angles are oe!ual si$e.%#i o "#e ollo'ing is not a regular polygon(
A C
B D
2 In a regular polygon, "#e nu)*er o a+es o sy))e"ry is e!ual "o "#e nu)*er osides. #e diagra) s#o's a regular #e+agon.
-o' )any a+es o sy))e"ry are "#ere in a regular #e+agon(
A 2B 4C 6D 12
3
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3 Angles "#a" are inside a polygon are no'n as in"erior angles. #e diagra)s#o's a de&agon.
%#i o "#e ollo'ing is an in"erior angle (
A ' B C y D 2
4 A pen"agon #as i/e sides. %#i o "#e ollo'ing is a pen"agon(
A C
B D
'
y
2
4
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5 #e nu)*er o "riangles in a polygon is e!ual "o "#e nu)*er o sides o "#epolygon )inus "'o.
-o' )any "riangles are "#ere in a 120sided polygon(
A 6B 1C 12D 14
6 #e diagra) s#o's a !uadrila"eral.
p( ( r and s are &alled
A in"erior anglesB e+"erior anglesC &o)ple)en"ary anglesD supple)en"ary angles
p
r
s
5
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A "'o di)ensional s#ape "#a" #as e!ual leng"# and e!ual in"erior angles isno'n as a
A &u*oidB r#o)*usC regular polygonD irregular polygon
A line "#a" di/ides a s#ape in"o "'o iden"i&al par"s '#i are "#e )irror i)age oea o"#er is no'n as
A a+is o sy))e"ryB y0a+isC +0a+isD diagonal
4 S6 is a pen"agon and / is a s"raig#" line.
and y are
A supple)en"ary anglesB &o)ple)en"ary anglesC e+"erior anglesD in"erior angles
/ S
y
6 4
6
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1 #e diagra) s#o's an e!uila"eral "riangle 4 .
∠ 4 ( ∠ 4 and ∠ 4 are &alled
A re le+ anglesB in"erior anglesC supple)en"ary anglesD &o)ple)en"ary angles
11 %#i o "#e ollo'ing is a regular polygon(
A
B
4
C
D
7
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12 #e nu)*er o "riangles "#a" &an *e or)ed in a polygon 'i"# n sides is
A nB n - 1C n 7 2D n - 2
13 #e su) o e+"erior angles o a polygon is
A 1 °
B 36 °
C 54 °
D 2 °
14 %#i o "#e ollo'ing is an in"erior angle(
A p C r
B D s
15 -o' )any sides are "#ere in a nonagon (
ABC
D 1
p
s
r
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16 %#i o "#e ollo'ing is "#e &orre&" s"ep "o ind "#e su) o "#e in"erior angles oan o&"agon (
A 3 × 1
B 4 × 1 °
C 5 × 1 °
D 6 × 1 °
1 4 S6/ is a regular #e+agon.
#e /alue o &an *e de"er)ined *y
A4
36
B6
36
C4
13
D6
13
/ 6
S
4
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1 #e su) o in"erior angles o a #ep"agon is
A + 1 °
B 6 + 1 °
C 5 + 1 °
D 4 + 1 °
1 In "#e diagra) , 89 ;I is a pen"agon.
%#i o "#e ollo'ing s"a"e)en"s is false (
A p 7 1 °
B 7 t 1 °
C p < t
D s 7 t 1 °
s
r
t
p
8 9
; I
10
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2 4 S6 is a regular pen"agon.
%#i o "#e ollo'ing &al&ula"ion is used "o ind "#e /alue o (
A 3362785 °×−
B5
362785 °×−
C3
12785 °×−
D5
12785 °×−
4
S6
11
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21 #e diagra) s#o's an irregular #e+agon.
9ind "#e /alue o
A 6 °
B 65 °
C °
D 5 °
22 #e diagra) s#o's a &o)*ina"ion o "'o regular polygons.
9ind "#e /alue o p.
A 1 °
B 12 °
C 132 °
D 22 °
65
35
4
p
12
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25 In "#e diagra) 89 ;I0 is a polygon.
9ind "#e /alue o 7 y.
A 2 °B 145 °
C 115 °
D 11 °
All questions f o! nu!"e 2# to nu!"e $% !ust "e ans&e e' in &o 's(
26 %#a" is a regular polygon(
Ans'er:
8 0
135
45y
9
;
I
14
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2 Des&ri*e #o' "o ind "#e nu)*er o sides o a regular polygon i "#e e+"eriorangle is ° .
Ans'er :
2 E+plain #o' "o dra' a regular pen"agon.
Ans'er :
2 E+plain #o' "o iden"i y "#e in"erior and e+"erior angles o a polygon.
Ans'er :
3 Des&ri*e "#e rela"ions#ip *e"'een "#e nu)*er o sides, n o a regular polygonand "#e nu)*er o "riangles "#a" &an *e or)ed in "#e polygon.
Ans'er :
15
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31 E+plain #o' "o ind "#e a+is o sy))e"ry o "#e polygon s#o'n *elo'.
Ans'er :
F o! )uestion $2 * $#+ t,e tea-,e ea's t,e questions to t,e stu'ents( Stu'ents-,oose t,e -o e-t ans&e .
32
A 36 °
B 2 °
C 1 °
D 144 °
4
S
6
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33
A 3 °
B 45 °
C 6 °
D 12 °
34
A 4
B 6
C
D 1
S
4
6
;/ •
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35
A -e+agon
B -ep"agon
C ;&"agon
D 2 7 + 1 °
C 8 6 = 2 7 ÷ 1 °
D 8 6 > 2 7 ÷ 1 °
END OF )UESTION PAPER
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