Ujian Akhir Sesi AkademikEnd of Academic Session Test
MatematikMathematics
Tingkatan 2, 2 jam / 2 hours, 100 marks
Nama / Name
Kelas / Class
Tarikh / Date
Markah / Marks: / 100
Instructions
Kertas soalan ini mengandungi tiga bahagian: Bahagian A, Bahagian B dan Bahagian C.This question paper consists of three sections: Section A, Section B and Section C.
Jawab semua soalan.Answer all questions.
Tunjukkan langkah-langkah penting dalam kerja mengira anda.Show your working. It may help you to get marks.
Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.The diagrams in this paper are not drawn to scale unless stated.
Anda dibenarkan menggunakan kalkulator saintifik.You may use a scientific calculator.
Answer schemes are in English (DLP).
Practice shows answers as you go. Exam times you and hides answers until you submit.
Bahagian ASection A
20 marks
Jawab semua soalan. Setiap soalan diikuti oleh empat pilihan jawapan, A, B, C dan D. Pilih satu jawapan yang terbaik.Answer all questions. Each question is followed by four options, A, B, C and D. Choose the best answer.
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Question 1
Sebuah stadium mempunyai tempat duduk yang disusun dalam baris. Baris pertama mempunyai 18 tempat duduk, baris kedua 22 tempat duduk dan baris ketiga 26 tempat duduk. Bilangan tempat duduk bertambah sama banyak bagi setiap baris. Antara berikut, yang manakah ungkapan bagi bilangan tempat duduk dalam baris ke-n?A stadium has seats arranged in rows. The first row has 18 seats, the second row has 22 seats and the third row has 26 seats. The number of seats increases by the same amount in every row. Which of the following is the expression for the number of seats in the nth row?
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A
The common difference is 4, so the expression starts with 4n. For n = 1 the value must be 18, so 4(1) + 14 = 18. Check n = 2: 4(2) + 14 = 22.
For the teacher: Applying, medium difficulty, Chapter 1, standard 1.3.1
Textbook p. 10
2
Question 2
Faktorkan 8m2n − 12mn2 dengan lengkap.Factorise 8m2n − 12mn2 completely.
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C
The HCF of 8m²n and 12mn² is 4mn, so 8m²n − 12mn² = 4mn(2m − 3n). The other options are correct factors taken out, but the factorisation is not complete because a common factor remains inside the bracket.
For the teacher: Understanding, low difficulty, Chapter 2, standard 2.2.1
Textbook p. 27
3
Question 3
Ungkapkan 32x + x − 14x2 sebagai satu pecahan tunggal.Express 32x + x − 14x2 as a single fraction.
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D
The LCM of 2x and 4x² is 4x². 3/(2x) = 6x/(4x²), so the sum is (6x + x − 1)/(4x²) = (7x − 1)/(4x²). Do not cancel across the addition sign.
For the teacher: Applying, high difficulty, Chapter 2, standard 2.3.1
Textbook p. 35
4
Question 4
Diberi p = 3q − 2r4. Ungkapkan q dalam sebutan p dan r.Given p = 3q − 2r4. Express q in terms of p and r.
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B
4p = 3q − 2r, so 3q = 4p + 2r and q = (4p + 2r)/3. Multiply both sides by 4 first, then add 2r, then divide the whole right side by 3.
For the teacher: Applying, medium difficulty, Chapter 3, standard 3.1.2
Textbook p. 46
5
Question 5
Hitung saiz satu sudut pedalaman bagi sebuah poligon sekata yang mempunyai 15 sisi.Calculate the size of one interior angle of a regular polygon with 15 sides.
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A
Exterior angle = 360° ÷ 15 = 24°. Interior angle = 180° − 24° = 156°. 24° is the exterior angle, not the interior angle.
For the teacher: Applying, low difficulty, Chapter 4, standard 4.2.2
Textbook p. 64
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Question 6
Sudut peluaran bagi sebuah poligon sekata ialah 40°. Hitung hasil tambah sudut pedalaman poligon itu.The exterior angle of a regular polygon is 40°. Calculate the sum of the interior angles of the polygon.
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B
Number of sides = 360° ÷ 40° = 9. Sum of interior angles = (9 − 2) × 180° = 1 260°. 1 620° comes from forgetting to subtract 2.
For the teacher: Applying, medium difficulty, Chapter 4, standard 4.2.3
Textbook p. 65
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Question 7
Sebuah gelanggang ais berbentuk bulatan dengan jejari 10.5 m. Hitung luas gelanggang itu. (Guna π = 227)An ice rink is in the shape of a circle with a radius of 10.5 m. Calculate the area of the rink. (Use π = 227)
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C
Area = πr² = 22/7 × 10.5 × 10.5 = 346.5 m². 66 is the circumference; 1 386 comes from using the diameter (21 m) as the radius.
For the teacher: Applying, low difficulty, Chapter 5, standard 5.2.1
Textbook p. 82
8
Question 8
Jarum minit sebuah jam di dinding sebuah stesen kereta api panjangnya 14 cm. Berapakah jarak yang dilalui oleh hujung jarum itu dari pukul 12:00 hingga 12:45? (Guna π = 227)The minute hand of a clock on the wall of a railway station is 14 cm long. How far does the tip of the hand move from 12:00 to 12:45? (Use π = 227)
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D
In 45 minutes the hand turns 45/60 × 360° = 270°. Arc length = 270/360 × 2 × 22/7 × 14 = 3/4 × 88 = 66 cm. 88 cm is a full circle.
For the teacher: Applying, medium difficulty, Chapter 5, standard 5.3.3
Textbook p. 89
9
Question 9
Sebuah kon latihan berbentuk kon dengan jejari tapak 6 cm dan tinggi 14 cm. Hitung isi padu kon itu. (Guna π = 227)A training cone is in the shape of a cone with a base radius of 6 cm and a height of 14 cm. Calculate the volume of the cone. (Use π = 227)
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B
Volume = 1/3 × πr²h = 1/3 × 22/7 × 6 × 6 × 14 = 528 cm³. 1 584 cm³ is the volume of the cylinder with the same base and height (the 1/3 was left out).
For the teacher: Applying, medium difficulty, Chapter 6, standard 6.4.2
Textbook p. 113
10
Question 10
Sebuah pepejal tiga dimensi mempunyai 5 muka, 9 tepi dan 6 bucu. Namakan pepejal itu.A three-dimensional solid has 5 faces, 9 edges and 6 vertices. Name the solid.
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A
A triangular prism has 2 triangular and 3 rectangular faces = 5 faces, 9 edges and 6 vertices. A square-based pyramid has 5 faces, 8 edges and 5 vertices.
For the teacher: Remembering, low difficulty, Chapter 6, standard 6.1.1
Textbook p. 101
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Question 11
Pada sebuah peta grid, satu unit mewakili 1 km. Sebuah pondok pengawal berada di A(−1, −2) dan sebuah menara pemerhati berada di B(7, 13). Hitung jarak AB.On a grid map, one unit represents 1 km. A guard post is at A(−1, −2) and a watchtower is at B(7, 13). Calculate the distance AB.
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C
Horizontal difference = 7 − (−1) = 8, vertical difference = 13 − (−2) = 15. AB = √(8² + 15²) = √289 = 17 km. 23 is 8 + 15 and 289 is the square of the distance.
For the teacher: Applying, low difficulty, Chapter 7, standard 7.1.3
Textbook p. 128
12
Question 12
Titik tengah bagi garis lurus PQ ialah M(3, −1). Diberi P(−5, 4), cari koordinat Q.The midpoint of the straight line PQ is M(3, −1). Given P(−5, 4), find the coordinates of Q.
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D
Let Q = (a, b). (−5 + a)/2 = 3 so a = 11, and (4 + b)/2 = −1 so b = −6. Q = (11, −6). (−1, 1.5) is the midpoint of P and M.
For the teacher: Applying, high difficulty, Chapter 7, standard 7.2.4
Textbook p. 137
13
Question 13
Diberi f(x) = x2 + 4x − 1. Cari nilai f(−3).Given f(x) = x2 + 4x − 1. Find the value of f(−3).
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A
f(−3) = (−3)² + 4(−3) − 1 = 9 − 12 − 1 = −4. (−22 comes from writing (−3)² as −9.)
For the teacher: Applying, low difficulty, Chapter 8, standard 8.2.1
Textbook p. 151
14
Question 14
Seorang pelumba basikal menempuh 30 km pertama dengan laju 60 km/j dan 30 km seterusnya dengan laju 30 km/j. Hitung laju purata pelumba itu bagi seluruh perjalanan.A cyclist covers the first 30 km at a speed of 60 km/h and the next 30 km at a speed of 30 km/h. Calculate the average speed of the cyclist for the whole journey.
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A
Time = 30/60 + 30/30 = 0.5 + 1 = 1.5 hours. Average speed = 60 km ÷ 1.5 h = 40 km/h. The average of the two speeds, 45 km/h, is wrong because more time is spent at the slower speed.
For the teacher: Applying, medium difficulty, Chapter 9, standard 9.1.3
Textbook p. 173
15
Question 15
Sebuah lereng ski dimodelkan sebagai garis lurus yang melalui titik (−3, 8) dan (5, 2) pada satah Cartes. Cari kecerunan lereng itu.A ski slope is modelled as a straight line passing through the points (−3, 8) and (5, 2) on a Cartesian plane. Find the gradient of the slope.
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B
Gradient = (2 − 8)/(5 − (−3)) = −6/8 = −3/4. The line falls to the right, so the gradient is negative.
For the teacher: Applying, low difficulty, Chapter 10, standard 10.1.2
Textbook p. 194
16
Question 16
Titik (−2, 6) ditranslasikan oleh vektor 4−7. Apakah koordinat imej titik itu?The point (−2, 6) is translated by the vector 4−7. What are the coordinates of the image of the point?
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D
Add the vector: (−2 + 4, 6 + (−7)) = (2, −1). The top number moves the point right (+) or left (−); the bottom number moves it up (+) or down (−).
For the teacher: Understanding, low difficulty, Chapter 11, standard 11.2.2
Textbook p. 214
17
Question 17
Apakah imej bagi titik (−4, 1) di bawah putaran 90° ikut arah jam pada asalan?What is the image of the point (−4, 1) under a rotation of 90° clockwise about the origin?
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B
A 90° clockwise turn about the origin sends (x, y) to (y, −x), so (−4, 1) goes to (1, 4). (−1, −4) is the 90° anticlockwise image and (4, −1) is the 180° image.
For the teacher: Applying, high difficulty, Chapter 11, standard 11.4.3
Textbook p. 228
18
Question 18
Min markah Hana dalam lima kuiz ialah 14. Markah bagi empat kuiz ialah 11, 17, 13 dan 15. Cari markah bagi kuiz yang kelima.Hana's mean mark in five quizzes is 14. Her marks in four of the quizzes are 11, 17, 13 and 15. Find her mark in the fifth quiz.
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B
Total of five marks = 14 × 5 = 70. Total of four marks = 11 + 17 + 13 + 15 = 56. Fifth mark = 70 − 56 = 14.
For the teacher: Applying, low difficulty, Chapter 12, standard 12.1.1
Textbook p. 254
19
Question 19
Sebuah beg mengandungi 12 biji bola merah dan 18 biji bola hijau. Kemudian 6 biji bola merah lagi dimasukkan ke dalam beg itu. Sebiji bola dipilih secara rawak daripada beg itu. Hitung kebarangkalian bola itu berwarna merah.A bag contains 12 red balls and 18 green balls. Then 6 more red balls are put into the bag. One ball is chosen at random from the bag. Calculate the probability that the ball is red.
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A
After 6 red balls are added there are 18 red and 18 green balls, 36 balls in total. P(red) = 18/36 = 1/2.
For the teacher: Applying, low difficulty, Chapter 13, standard 13.2.1
Textbook p. 280
20
Question 20
Dalam sebuah kelas yang mempunyai 36 orang murid, 20 orang murid meminati bola sepak, 15 orang murid meminati bola jaring dan 7 orang murid meminati kedua-duanya. Seorang murid dipilih secara rawak daripada kelas itu. Cari kebarangkalian murid itu tidak meminati kedua-dua sukan itu.In a class of 36 students, 20 students like football, 15 students like netball and 7 students like both. A student is chosen at random from the class. Find the probability that the student likes neither of the two sports.
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C
Students who like at least one sport = 20 + 15 − 7 = 28. Neither = 36 − 28 = 8. Probability = 8/36 = 2/9.
For the teacher: Analysing, high difficulty, Chapter 13, standard 13.3.2
Textbook p. 289
Bahagian BSection B
20 marks
Jawab semua soalan. Tunjukkan langkah-langkah penting dalam kerja mengira anda.Answer all questions. Show the important steps in your working.
21
Question 21
Sebuah agensi pelancongan mengenakan bayaran RM180 untuk sewa sebuah bas dan RM22 bagi setiap penumpang. Jumlah bayaran ialah RMT apabila n orang penumpang menyertai lawatan itu.A travel agency charges RM180 to hire a bus and RM22 for each passenger. The total charge is RMT when n passengers join the trip.
[1 mark](a)Tulis satu rumus bagi T dalam sebutan n.Write a formula for T in terms of n.
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[1 mark](b)Ungkapkan n sebagai perkara rumus.Express n as the subject of the formula.
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[2 marks](c)Jumlah bayaran bagi sebuah kumpulan ialah RM862. Hitung bilangan penumpang dalam kumpulan itu.The total charge for a group is RM862. Calculate the number of passengers in the group.
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For the teacher: Applying, low difficulty, Chapter 3, standard 3.1.2
Textbook p. 46
22
Question 22
Rajah 1 menunjukkan sebuah khemah perkhemahan yang berbentuk prisma. Keratan rentas khemah itu ialah sebuah segi tiga sama kaki.Diagram 1 shows a camping tent in the shape of a prism. The cross section of the tent is an isosceles triangle.
Rajah 1Diagram 1
[1 mark](a)Nyatakan bilangan bucu khemah itu.State the number of vertices of the tent.
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[1 mark](b)Hitung luas keratan rentas, dalam m2, khemah itu.Calculate the area, in m2, of the cross section of the tent.
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[2 marks](c)Hitung isi padu, dalam m3, khemah itu.Calculate the volume, in m3, of the tent.
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For the teacher: Understanding, low difficulty, Chapter 6, standard 6.4.1
Textbook p. 112
23
Question 23
Rajah 2 ialah graf jarak-masa bagi perjalanan seorang pendaki di sebuah laluan hutan selama 4 jam. Pendaki itu berehat sekali dalam perjalanan itu.Diagram 2 is the distance-time graph of a hiker's journey on a forest trail for 4 hours. The hiker rested once during the journey.
Rajah 2Diagram 2
[1 mark](a)Nyatakan tempoh, dalam minit, pendaki itu berehat.State the length of time, in minutes, that the hiker rested.
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[2 marks](b)Hitung laju pendaki itu, dalam km/j, pada peringkat terakhir perjalanan.Calculate the speed of the hiker, in km/h, in the last stage of the journey.
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[1 mark](c)Hitung laju purata, dalam km/j, pendaki itu bagi seluruh perjalanan.Calculate the average speed, in km/h, of the hiker for the whole journey.
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For the teacher: Applying, medium difficulty, Chapter 9, standard 9.1.3
Textbook p. 173
24
Question 24
Data di bawah menunjukkan bilangan mata yang dijaringkan oleh seorang pemain bola keranjang dalam 10 perlawanan. 14, 9, 17, 10, 9, 22, 15, 9, 11, 14The data below shows the number of points scored by a basketball player in 10 matches. 14, 9, 17, 10, 9, 22, 15, 9, 11, 14
[1 mark](a)Nyatakan mod bagi data itu.State the mode of the data.
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[1 mark](b)Cari median bagi data itu.Find the median of the data.
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[2 marks](c)Hitung min bagi data itu.Calculate the mean of the data.
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For the teacher: Applying, medium difficulty, Chapter 12, standard 12.1.1
Textbook p. 254
25
Question 25
Dua permainan di sebuah karnival sekolah. Permainan X: Sebuah pemutar dibahagikan kepada 12 sektor yang sama besar. Lima daripada sektor itu berwarna merah. Pemain menang jika penunjuk berhenti pada sektor merah. Permainan Y: Sebuah kotak mengandungi 18 biji bola yang serupa. Tujuh daripadanya berwarna hijau. Pemain menang jika sebiji bola hijau dipilih secara rawak.Two games at a school carnival. Game X: A spinner is divided into 12 equal sectors. Five of the sectors are red. A player wins if the pointer stops on a red sector. Game Y: A box contains 18 identical balls. Seven of them are green. A player wins if a green ball is chosen at random.
[1 mark](a)Cari kebarangkalian menang dalam Permainan X.Find the probability of winning Game X.
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[1 mark](b)Cari kebarangkalian menang dalam Permainan Y.Find the probability of winning Game Y.
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[2 marks](c)Nadia berkata, "Permainan Y memberikan peluang menang yang lebih baik kerana kotak itu mempunyai 18 biji bola, lebih banyak daripada 12 sektor." Adakah Nadia betul? Berikan justifikasi anda.Nadia says, "Game Y gives a better chance of winning because the box has 18 balls, which is more than 12 sectors." Is Nadia correct? Justify your answer.
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For the teacher: Evaluating, high difficulty, Chapter 13, standard 13.2.1
Textbook p. 283
Bahagian CSection C
60 marks
Jawab semua soalan. Tunjukkan langkah-langkah penting dalam kerja mengira anda.Answer all questions. Show the important steps in your working.
26
Question 26
Rajah 3 menunjukkan tiga corak pertama titik yang digunakan untuk menandakan kedudukan penanda pada sebuah trek latihan. Corak itu diteruskan dengan cara yang sama.Diagram 3 shows the first three patterns of dots used to mark the positions of markers on a training track. The pattern continues in the same way.
Rajah 3Diagram 3
[2 marks](a)(i) Nyatakan bilangan titik dalam Corak 4. (ii) Huraikan pola nombor bagi bilangan titik dalam corak-corak itu.(i) State the number of dots in Pattern 4. (ii) Describe the number pattern of the dots in the patterns.
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[3 marks](b)Tulis satu ungkapan algebra bagi bilangan titik dalam Corak ke-n. Seterusnya, cari bilangan titik dalam Corak ke-20.Write an algebraic expression for the number of dots in the nth pattern. Hence, find the number of dots in Pattern 20.
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[2 marks](c)Corak yang manakah mempunyai 98 titik?Which pattern has 98 dots?
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[3 marks](d)Bas pertama dari sebuah stesen bertolak pada pukul 0640. Bas-bas seterusnya bertolak setiap 18 minit. Pada pukul berapakah bas ke-9 bertolak?The first bus from a station leaves at 0640. The following buses leave every 18 minutes. At what time does the 9th bus leave?
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For the teacher: Applying, low difficulty, Chapter 1, standard 1.3.2
Textbook p. 11
27
Question 27
Selesaikan soalan-soalan berikut.Answer the following questions.
[3 marks](c)Luas sebuah padang latihan berbentuk segi empat tepat ialah (2k2 − 7k − 15) m2. Lebar padang itu ialah (k − 5) m. Cari panjang padang itu, dalam sebutan k.The area of a rectangular training field is (2k2 − 7k − 15) m2. The width of the field is (k − 5) m. Find the length of the field, in terms of k.
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[2 marks](d)Ungkapkan 73pq + 29q sebagai satu pecahan tunggal dalam bentuk termudah.Express 73pq + 29q as a single fraction in its simplest form.
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For the teacher: Applying, low difficulty, Chapter 2, standard 2.2.2
Textbook p. 30
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Question 28
Rajah 4 menunjukkan peta sebuah pekan pada satah Cartes. Satu unit mewakili 1 km. Dewan bandaran T, stadium S dan taman P dihubungkan oleh jalan raya yang lurus. TP selari dengan paksi-x dan PS selari dengan paksi-y.Diagram 4 shows a map of a town on a Cartesian plane. One unit represents 1 km. The town hall T, the stadium S and the park P are joined by straight roads. TP is parallel to the x-axis and PS is parallel to the y-axis.
Rajah 4Diagram 4
[2 marks](a)Cari panjang, dalam km, TP dan PS.Find the length, in km, of TP and of PS.
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[2 marks](b)Hitung jarak TS, dalam km.Calculate the distance TS, in km.
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[2 marks](c)Sebuah gerai makanan F terletak di titik tengah TS. Cari koordinat F.A food stall F is at the midpoint of TS. Find the coordinates of F.
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[4 marks](d)Rafi berbasikal dari T ke S melalui jalan TS dengan laju seragam 20 km/j. Dina berbasikal dari T ke S melalui P dengan laju seragam 30 km/j. Mereka bertolak dari T pada masa yang sama. Siapakah yang sampai di S dahulu? Tunjukkan pengiraan anda.Rafi cycles from T to S along the road TS at a uniform speed of 20 km/h. Dina cycles from T to S through P at a uniform speed of 30 km/h. They leave T at the same time. Who reaches S first? Show your calculation.
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For the teacher: Evaluating, medium difficulty, Chapter 7, standard 7.1.3
Textbook p. 128
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Question 29
Rajah 5 menunjukkan graf bagi fungsi h = 8 + 2t − t2, dengan h ialah ketinggian, dalam m, seorang penyelam dari permukaan air kolam pada t saat selepas dia melompat dari papan anjal. Papan anjal itu berada pada ketinggian 8 m.Diagram 5 shows the graph of the function h = 8 + 2t − t2, where h is the height, in m, of a diver above the surface of the pool t seconds after she jumps from a springboard. The springboard is at a height of 8 m.
Rajah 5Diagram 5
[2 marks](a)Hitung nilai h apabila t = 3.Calculate the value of h when t = 3.
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[2 marks](b)Berdasarkan Rajah 5, nyatakan ketinggian maksimum penyelam itu dan masa apabila ketinggian itu dicapai.Based on Diagram 5, state the maximum height of the diver and the time when it is reached.
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[2 marks](c)Berapa saat penyelam itu berada pada ketinggian lebih daripada 8 m?For how many seconds is the diver higher than 8 m?
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[4 marks](d)Masa, t saat, yang diambil oleh seorang perenang untuk berenang sejauh 60 m dengan laju v m/s diberi oleh t = 60v. (i) Cari nilai t apabila v = 5 dan apabila v = 8. (ii) Perenang itu mahu menyelesaikan 60 m dalam masa tidak lebih daripada 6 saat. Cari laju minimum yang diperlukan.The time, t seconds, taken by a swimmer to swim 60 m at a speed of v m/s is given by t = 60v. (i) Find the value of t when v = 5 and when v = 8. (ii) The swimmer wants to complete 60 m in no more than 6 seconds. Find the minimum speed needed.
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For the teacher: Applying, medium difficulty, Chapter 8, standard 8.2.3
Textbook p. 161
30
Question 30
Selesaikan soalan-soalan berikut tentang kecerunan.Answer the following questions about gradient.
[2 marks](a)Rajah 6 menunjukkan sebuah tanjakan papan selaju di taman sukan. Tinggi tanjakan itu ialah 0.6 m dan panjang mengufuknya ialah 7.5 m. Hitung kecerunan tanjakan itu.Diagram 6 shows a skateboard ramp at a sports park. The height of the ramp is 0.6 m and its horizontal length is 7.5 m. Calculate the gradient of the ramp.Rajah 6Diagram 6
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[2 marks](b)Cari kecerunan garis lurus yang melalui A(−2, 7) dan B(4, −5).Find the gradient of the straight line passing through A(−2, 7) and B(4, −5).
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[3 marks](c)Rajah 7 menunjukkan garis lurus PQ. PQ memotong paksi-x di P dan paksi-y di Q. (i) Nyatakan pintasan-x dan pintasan-y bagi PQ. (ii) Hitung kecerunan PQ.Diagram 7 shows the straight line PQ. PQ cuts the x-axis at P and the y-axis at Q. (i) State the x-intercept and the y-intercept of PQ. (ii) Calculate the gradient of PQ.Rajah 7Diagram 7
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[3 marks](d)Titik A(−1, 3), B(2, 9) dan C(5, h) terletak pada satu garis lurus. Cari nilai h.The points A(−1, 3), B(2, 9) and C(5, h) lie on a straight line. Find the value of h.
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For the teacher: Applying, low difficulty, Chapter 10, standard 10.1.2
Textbook p. 194
31
Question 31
Rajah 8 menunjukkan segi tiga ABC, DEF dan GHJ yang dilukis pada satah Cartes. Koordinat bagi A, B dan C ialah A(2, 1), B(6, 1) dan C(3, 4).Diagram 8 shows triangles ABC, DEF and GHJ drawn on a Cartesian plane. The coordinates of A, B and C are A(2, 1), B(6, 1) and C(3, 4).
Rajah 8Diagram 8
[2 marks](a)Segi tiga ABC ditranslasikan oleh vektor −73. Nyatakan koordinat imej bagi A, B dan C.Triangle ABC is translated by the vector −73. State the coordinates of the images of A, B and C.
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[2 marks](b)Segi tiga ABC dipantulkan pada paksi-x. Nyatakan koordinat imej bagi A, B dan C.Triangle ABC is reflected in the x-axis. State the coordinates of the images of A, B and C.
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[2 marks](c)Segi tiga DEF ialah imej bagi segi tiga ABC di bawah satu putaran. Huraikan putaran itu dengan lengkap.Triangle DEF is the image of triangle ABC under a rotation. Describe the rotation completely.
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[4 marks](d)Segi tiga GHJ ialah imej bagi segi tiga ABC di bawah satu putaran. (i) Huraikan putaran itu dengan lengkap. (ii) Seorang pereka corak ingin memperoleh segi tiga GHJ daripada segi tiga ABC dengan menggunakan dua pantulan berturutan. Huraikan kedua-dua pantulan itu.Triangle GHJ is the image of triangle ABC under a rotation. (i) Describe the rotation completely. (ii) A pattern designer wants to obtain triangle GHJ from triangle ABC using two reflections one after the other. Describe the two reflections.
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For the teacher: Creating, high difficulty, Chapter 11, standard 11.5.2
