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                       MATHEMATICS
                             FORM 3
                           MODULE 1
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI




             LINES AND ANGLES II




                 MINISTRY OF EDUCATION MALAYSIA
MODULE 1: LINES AND ANGLES II
Arahan:

  1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam
      bahasa Inggeris.
  2. Modul merangkumi tujuh konstruk yang diuji
      K1 - Memahami soalan dalam bahasa Inggeris
      K3 - Memahami istilah matematik dalam bahasa Inggeris
      K5 - Menguasai konstruk pengetahuan
      K6 - Menguasai konstruk kefahaman
      K7 - Menguasai konstruk kemahiran
      K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris
      K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

   3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif
      disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan
      jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam
      kertas jawapan objektif sebelum ujian.

   4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan
      pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan
      objektif.

          Contoh:

          Antara berikut, yang manakah haiwan?

          A. Pokok           B.   Kambing       C.   Kereta    D.     Pen

              A          B         C            D      E



   5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
      yang disediakan oleh guru.

   6. Jawab semua soalan.


      Modul ini mengandungi 20 halaman bercetak

                                            2
1   Two lines that do not meet, even when the lines are extended are known as parallel
    lines.
    Which of the following shows a pair of parallel lines?

    A                                           B




    C                                           D




2   Transversals are lines that intersect parallel lines.
    Which of the following diagram shows a transversal?


    A                                           B




    C                                           D




                                            3
In the diagram below, ∠ UQS and ∠ VRP are alternate angles.
3

                                                    U
                                                                        W




                                    P                                       S
                                                                    R
                                            Q



                                        T                   V



    Name the alternate angle to ∠ WRP.

           ∠ WRS
     A
           ∠ VRP
     B
           ∠ TQS
     C
           ∠ UQP
     D




4    In the diagram RS and TU are straight lines. f and g are a pair of interior angles.



                                                                                S
                            R
                                                                        g
                                        e                                   h
                                                f


                                                                j
                                l                                       i
                                            k
                                                                                U
                        T


     Which of the following is another pair of interior angles?

     A    f and j
     B    g and i
     C    j and l
     D    f and k




                                                        4
5   In the diagram, m and r are corresponding angles.

                                                         m       n
                                                     p       q



                                           r   s
                                               y
                                        x

      Which of the following are corresponding angles?


      A     n and y
      B     q and y
      C     x and y
      D     p and q

6     Which of the following is a transversal?


                                                     T


                              P                                      Q



                             R                                       S



                                       U




      A PQ
      B RS
      C TU
      D TS




                                                 5
7   Based on the diagram, p and q are




                                        p



                                             q



    A      corresponding angles
    B      vertically opposite angles
    C      alternate angles
    D      interior angles



8   Two straight lines that do not meet are called


    A      perpendicular lines
    B      parallel lines
    C      intersecting lines
    D      transversals




                                            6
9   In the diagram, PQ, RS and AD are straight lines.


                                      A

                           P                            Q
                                          B


                                              C
                                                        S
                           R
                                                  D




    ∠ DBQ and ∠ ACS are known as


    A    corresponding angles
    B    reflex angles
    C    interior angles
    D    acute angles




                                              7
10   Which of the following is a pair of alternate angles?

                            x
     A                                                C                    x
                      y                                                        y




                                                      D                            y
     B                        x

                                                                       x
                                  y




11   In the diagram, PQ, RS, and TU are transversals to the parallel line AB and CD.
                                                                       T
                          P                       R

                      87°
                  A                                                            B
                                                             67°



                                                                   x
                                      93°
                                                                               D
                  C

                                       Q          S          U
     What is the value of x?

     A    93°
     B    90°
     C    87°
     D    67°




                                              8
12   In the diagram, PQ is a straight line.

                                      P


                                  y       x

                                      w
                          z
                         Q
     Which of the following is a pair of interior angles?


     A    w and z
     B    x and y
     C    w and x
     D    y and z


13   In the diagram, JK is parallel to ML. RS and TU are straight lines.

                      R                               T

                                                  w       x
               J                                                  K
                              z



                          y
               M                                              L
                                              a

                                              U
                                  S
     Which of the angle is equal to a ?

     A    w
     B    x
     C    y
     D     z




                                                      9
14   Which two lines are parallel?

                                 Q          S                U       W




                      100°           110°       115°         100°



                           P           R                         V
                                                     T


     A    PQ and VW
     B    PQ and RS
     C    RS and TU
     D    TU and VW



15   Given that x = y, which of the following is false.


                                                                                 x
                      x
     A                                                   C

                 y
                                                                             y



                                                         D
     B                 x
                                                                         x
                                                                             y

                             y




                                                10
16   In the diagram, PQ is a straight line.
                                                              B
                              S




                                  80°
                                               120°                        120°
                                                                                            Q
         P
                                  80°                                                 60°



                 R
                                  A                                         C         D

     Which line is parallel to RS?



17   In the diagram PQ is parallel to RS and JK is parallel to LM.

                                          K                       M

                                                          I
                              P                                                       Q
                                              x                       II

                                                  III
                                          IV
                         R                                                        S


                                                      L
                                      J


     Which of the angles labelled I, II, III and IV are equal to x?

     A       I and II only
     B       I and III only
     C       I, II and III only
     D       I, II, III and IV




                                                          11
18   EF, GH, IJ, KL and MN are straight lines.


                                            N
                                                                     F
                                                         r
                                                q
                                        G
                                                                                 H
                                                                 x
                                L               p

                                                                         M
                                                y
                                        u
                        I                                                        J
                                        v
                                            w

                                    E                K

     Which of the following has the same value as x + y?

     A    q+u
     B    u+w
     C    p+r
     D    p+u



19   The diagram shows trapezium EFGH.
                                                             F
                            E

                                                     a


                                                                             c
                                                                     b
                                                                             G
                  H
                                                                         d


     Which of the following is true?


     A    a=b
     B    b=c
     C    a=d
     D    b=d

                                                12
20   In the diagram, HIJK is a straight line.


                                      H
                                                 55° x

                                                   I        112°
                                                                   68°
                                                               J
                                                                    K


     Which of the following is the correct step to find the value of x?

     A    180° - 55°
     B    112° - 55°
     C    112° - 68°
     D    68° - 55°



21   In the diagram, JK and JL are straight lines.


                      J

                          x°              100°


                                                   L

                                55°

                            K


     Find the value of x.

     A   45°                                       C     70°
     B   55°                                       D     80°




                                                       13
22   In the diagram, PQRS is a straight line.



              128°
                                    R
                      Q                                       S
     P
                                         58°
                                    x°




     Find the value of x.



     A 52°                                     C 64°
     B 58°                                     D 70°




23   In the diagram, MN and ST are straight lines.


                            p                      N
             120°
      M



                       q
               r
                                               T
         S                          140°


     Find the value of p + q + r.

     A 300°                                    C       360°
     B 340°                                    D       400°




                                                   14
24   The line PQRS in the diagram is a straight line.

                                        P
                                        Q
                            37°
                                                        153°
                                    x
                                R           27°



                            S


     Find the value of x.

     A 10°                                                     C   37°
     B 27°                                                     D   63°



25   In the diagram, WXY is a straight line.




                                                 125°
                        115°                             b



             W                                                           Y
                                             X


     Find the value of b.

     A 55°                                         C     115°
     B 60°                                         D     120°




                                                        15
All questions from number 26 to number 30 must be answered in words.

26    What are parallel lines?




27    Describe the alternate angles shown in the diagram.




                                    a

                         b




28    Describe in words how to find the value of x.

                                     70°




                         x




                                              16
29   Make two true statements based on the diagram given.

                       Q                                N
                                             M
                                R
               P                         S
                                                 120°
                         20°
                   20°         20°



                               60°
                                                            L
                       O
          K




30   State any two properties of the angles shown in the diagram.




                                     a
                               b


                   c
               d




                                                 17
From Question 31 to 35, teacher reads the questions to the students. Students choose
the correct answer.

31




                                         s
                     t
                                             v
                         u




      A    s=t
      B    t=u
      C    s= v
      D    t=v



32




                                                 P

                             R                   y
                                 z
                                                     x
                                     k               w
                                                     SQ


      A    w
      B    x
      C    y
      D    z


                                                     18
33




                                P
                                                QR
                                                           S
                                                               T
                                             10° 15°
                    105°                     30°
                                             30°
                                                               Z
                                     Y
                        X

         A    QY
         B    RY
         C    SY
         D    TY



34




                                         T
                            Y



                    w
                                              30°
                                                       S
                                R
                    X


     A       30°
     B       60°
     C       120°
     D       150°


                                    19
35




                         x
                    P                       Q
                                        y
                        120°




                S                   R

     A   60°
     B   120°
     C   180°
     D   240°




                               20
KEMENTERIAN PELAJARAN MALAYSIA
                                               KERTAS JAWAPAN OBJEKTIF
                                                    Ujian Diagnostik


     Nama Pelajar:

     Tahun/ Tingkatan :                   3                                      Mata Pelajaran:   MATEMATIK

                                                                                 Modul:                      1
     Nama Sekolah:

     GUNAKAN PENSIL 2B ATAU BB SAHAJA.
     TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.
     PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH
    SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

        A                                                A                                                       A
              B      C     D     E                               B    C      D      E                                B    C    D    E
1                                                 31                                                    46
        A                                                A                                                       A
2                                                 32                                                    47
              B      C     D     E                               B    C      D      E                                B    C    D    E
        A                                                A                                                       A
              B      C     D     E                               B    C      D      E                                B    C    D    E
3                                                 33                                                    48
        A                                                A                                                       A
              B      C     D     E                               B    C      D      E                                B    C    D    E
4                                                 34                                                    49
        A                                                A                                                       A
              B      C     D     E                               B    C      D      E                                B    C    D    E
5                                                 35                                                    50


                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
6                                                 36                                                    51
        A     B      C     D     E
                                                         A                                                       A
7                                                 37                                                    52
                                                                 B    C      D      E                                B    C    D    E
        A     B      C     D     E
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
        A
8                                                 38                                                    53
              B      C     D     E
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
        A
9                                                 39                                                    54
              B      C     D     E
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
10                                                40                                                    55
        A     B      C     D     E


                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
        A                                         41                                                    56
              B      C     D     E
11
                                                         A                                                       A
                                                  42                                                    57
                                                                 B    C      D      E                                B    C    D    E
        A
12            B      C     D     E
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
        A                                         43                                                    58
              B      C     D     E
13
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
        A                                         44                                                    59
              B      C     D     E
14
                                                         A                                                       A
                                                                 B    C      D      E                                B    C    D    E
                                                  45                                                    60
        A     B      C     D     E
15


                                                                                        Jumlah     Bilangan Soalan
                                                      Konstruk       No. Soalan                                          Kegunaan Guru
        A     B      C     D     E
16
                                                                                        Soalan      Gagal Dijawab
        A
17            B      C     D     E
        A                                               K1                1-5             5
              B      C     D     E               1
18
        A     B      C     D     E
19
                                                        K3                6-10            5
                                                 2
        A     B      C     D     E
20

                                                        K5            11-15               5
                                                 3
        A     B      C     D     E
21
                                                        K6            16-20               5
                                                 4
        A
22            B      C     D     E
        A     B      C     D     E
23
                                                        K7            21-25               5
                                                 5
        A     B      C     D     E
24
        A     B      C     D     E
25                                                      K8            26-30               5
                                                 6

                                                       K10            31-35               5
                                                 7
        A     B      C     D     E
26
        A
27            B      C     D     E
                                                 8
        A     B      C     D     E
28
        A     B      C     D     E               9
29
        A     B      C     D     E
30
                                                 10

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Students module 1 PMR

  • 1. PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI MATHEMATICS FORM 3 MODULE 1 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI LINES AND ANGLES II MINISTRY OF EDUCATION MALAYSIA
  • 2. MODULE 1: LINES AND ANGLES II Arahan: 1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam bahasa Inggeris. 2. Modul merangkumi tujuh konstruk yang diuji K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris 3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian. 4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif. Contoh: Antara berikut, yang manakah haiwan? A. Pokok B. Kambing C. Kereta D. Pen A B C D E 5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang disediakan oleh guru. 6. Jawab semua soalan. Modul ini mengandungi 20 halaman bercetak 2
  • 3. 1 Two lines that do not meet, even when the lines are extended are known as parallel lines. Which of the following shows a pair of parallel lines? A B C D 2 Transversals are lines that intersect parallel lines. Which of the following diagram shows a transversal? A B C D 3
  • 4. In the diagram below, ∠ UQS and ∠ VRP are alternate angles. 3 U W P S R Q T V Name the alternate angle to ∠ WRP. ∠ WRS A ∠ VRP B ∠ TQS C ∠ UQP D 4 In the diagram RS and TU are straight lines. f and g are a pair of interior angles. S R g e h f j l i k U T Which of the following is another pair of interior angles? A f and j B g and i C j and l D f and k 4
  • 5. 5 In the diagram, m and r are corresponding angles. m n p q r s y x Which of the following are corresponding angles? A n and y B q and y C x and y D p and q 6 Which of the following is a transversal? T P Q R S U A PQ B RS C TU D TS 5
  • 6. 7 Based on the diagram, p and q are p q A corresponding angles B vertically opposite angles C alternate angles D interior angles 8 Two straight lines that do not meet are called A perpendicular lines B parallel lines C intersecting lines D transversals 6
  • 7. 9 In the diagram, PQ, RS and AD are straight lines. A P Q B C S R D ∠ DBQ and ∠ ACS are known as A corresponding angles B reflex angles C interior angles D acute angles 7
  • 8. 10 Which of the following is a pair of alternate angles? x A C x y y D y B x x y 11 In the diagram, PQ, RS, and TU are transversals to the parallel line AB and CD. T P R 87° A B 67° x 93° D C Q S U What is the value of x? A 93° B 90° C 87° D 67° 8
  • 9. 12 In the diagram, PQ is a straight line. P y x w z Q Which of the following is a pair of interior angles? A w and z B x and y C w and x D y and z 13 In the diagram, JK is parallel to ML. RS and TU are straight lines. R T w x J K z y M L a U S Which of the angle is equal to a ? A w B x C y D z 9
  • 10. 14 Which two lines are parallel? Q S U W 100° 110° 115° 100° P R V T A PQ and VW B PQ and RS C RS and TU D TU and VW 15 Given that x = y, which of the following is false. x x A C y y D B x x y y 10
  • 11. 16 In the diagram, PQ is a straight line. B S 80° 120° 120° Q P 80° 60° R A C D Which line is parallel to RS? 17 In the diagram PQ is parallel to RS and JK is parallel to LM. K M I P Q x II III IV R S L J Which of the angles labelled I, II, III and IV are equal to x? A I and II only B I and III only C I, II and III only D I, II, III and IV 11
  • 12. 18 EF, GH, IJ, KL and MN are straight lines. N F r q G H x L p M y u I J v w E K Which of the following has the same value as x + y? A q+u B u+w C p+r D p+u 19 The diagram shows trapezium EFGH. F E a c b G H d Which of the following is true? A a=b B b=c C a=d D b=d 12
  • 13. 20 In the diagram, HIJK is a straight line. H 55° x I 112° 68° J K Which of the following is the correct step to find the value of x? A 180° - 55° B 112° - 55° C 112° - 68° D 68° - 55° 21 In the diagram, JK and JL are straight lines. J x° 100° L 55° K Find the value of x. A 45° C 70° B 55° D 80° 13
  • 14. 22 In the diagram, PQRS is a straight line. 128° R Q S P 58° x° Find the value of x. A 52° C 64° B 58° D 70° 23 In the diagram, MN and ST are straight lines. p N 120° M q r T S 140° Find the value of p + q + r. A 300° C 360° B 340° D 400° 14
  • 15. 24 The line PQRS in the diagram is a straight line. P Q 37° 153° x R 27° S Find the value of x. A 10° C 37° B 27° D 63° 25 In the diagram, WXY is a straight line. 125° 115° b W Y X Find the value of b. A 55° C 115° B 60° D 120° 15
  • 16. All questions from number 26 to number 30 must be answered in words. 26 What are parallel lines? 27 Describe the alternate angles shown in the diagram. a b 28 Describe in words how to find the value of x. 70° x 16
  • 17. 29 Make two true statements based on the diagram given. Q N M R P S 120° 20° 20° 20° 60° L O K 30 State any two properties of the angles shown in the diagram. a b c d 17
  • 18. From Question 31 to 35, teacher reads the questions to the students. Students choose the correct answer. 31 s t v u A s=t B t=u C s= v D t=v 32 P R y z x k w SQ A w B x C y D z 18
  • 19. 33 P QR S T 10° 15° 105° 30° 30° Z Y X A QY B RY C SY D TY 34 T Y w 30° S R X A 30° B 60° C 120° D 150° 19
  • 20. 35 x P Q y 120° S R A 60° B 120° C 180° D 240° 20
  • 21. KEMENTERIAN PELAJARAN MALAYSIA KERTAS JAWAPAN OBJEKTIF Ujian Diagnostik Nama Pelajar: Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK Modul: 1 Nama Sekolah: GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH A A A B C D E B C D E B C D E 1 31 46 A A A 2 32 47 B C D E B C D E B C D E A A A B C D E B C D E B C D E 3 33 48 A A A B C D E B C D E B C D E 4 34 49 A A A B C D E B C D E B C D E 5 35 50 A A B C D E B C D E 6 36 51 A B C D E A A 7 37 52 B C D E B C D E A B C D E A A B C D E B C D E A 8 38 53 B C D E A A B C D E B C D E A 9 39 54 B C D E A A B C D E B C D E 10 40 55 A B C D E A A B C D E B C D E A 41 56 B C D E 11 A A 42 57 B C D E B C D E A 12 B C D E A A B C D E B C D E A 43 58 B C D E 13 A A B C D E B C D E A 44 59 B C D E 14 A A B C D E B C D E 45 60 A B C D E 15 Jumlah Bilangan Soalan Konstruk No. Soalan Kegunaan Guru A B C D E 16 Soalan Gagal Dijawab A 17 B C D E A K1 1-5 5 B C D E 1 18 A B C D E 19 K3 6-10 5 2 A B C D E 20 K5 11-15 5 3 A B C D E 21 K6 16-20 5 4 A 22 B C D E A B C D E 23 K7 21-25 5 5 A B C D E 24 A B C D E 25 K8 26-30 5 6 K10 31-35 5 7 A B C D E 26 A 27 B C D E 8 A B C D E 28 A B C D E 9 29 A B C D E 30 10