# Ulangan Harian Sebangun Dan Kongruen

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| By Smpn4depoksleman
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Smpn4depoksleman
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Quizzes Created: 2 | Total Attempts: 677
Questions: 40 | Attempts: 177  Settings  Kerjakan dengan jujur dan penuh tanggung jawab

• 1.

### Syarat yang harus dipenuhi agar dua bangun dikatakan sebangun adalah ….

• A.

Kedua bangun tersebut memiliki luas daerahyang sama.

• B.

Kedua bangun tersebut memiliki keliling yang sama panjang.

• C.

Sisi-sisi yang bersesuaian sebanding dan sudut-sudut yang bersesuaian sama besar

• D.

Sisi-sisi yang bersesuaian sama panjang dan sudut-sudut yang bersesuaian sama besar.

C. Sisi-sisi yang bersesuaian sebanding dan sudut-sudut yang bersesuaian sama besar
Explanation
The correct answer is "Sisi-sisi yang bersesuaian sebanding dan sudut-sudut yang bersesuaian sama besar." This answer states that for two shapes to be similar, their corresponding sides must be proportional and their corresponding angles must be equal. This is a fundamental property of similar shapes, where the shapes have the same shape but possibly different sizes.

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• 2.

### Bangun-bangun berikut yang pasti sebangun adalah....

• A.

Dua segitiga sama sisi

• B.

Dua segitiga siku-siku

• C.

Dua persegipanjang.

• D.

Dua segitiga samakaki.

A. Dua segitiga sama sisi
Explanation
The two equilateral triangles are definitely similar because they have the same shape and size. Similarity in geometry refers to figures that have the same shape but not necessarily the same size. In this case, the equilateral triangles have equal angles and equal side lengths, making them similar.

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• 3.

### Pada ∆ABC dan ∆PQR, besar sudut A = 75°, B = 80°, P = 80°, dan R = 25°. Perbandingan sisi-sisi yang bersesuaian adalah ….

C.
Explanation
Jawaban yang benar adalah "AB/PQ = BC/QR = AC/PR". Dalam segitiga yang sebangun, perbandingan panjang sisi-sisi yang bersesuaian adalah sama. Dalam hal ini, sudut A dari segitiga ABC bersesuaian dengan sudut P dari segitiga PQR, sudut B dengan sudut Q, dan sudut C dengan sudut R. Oleh karena itu, panjang sisi AB harus memiliki perbandingan yang sama dengan panjang sisi PQ, sisi BC dengan QR, dan sisi AC dengan PR.

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• 4.

### Ukuran persegi panjang berikut yang sebangun dengan persegi panjang berukuran 24 cm × 8 cm adalah ....

• A.

2 cm × 8 cm

• B.

4 cm × 6 cm

• C.

2 cm × 6 cm

• D.

5 cm × 7 cm

C. 2 cm × 6 cm
Explanation
The given question asks for a rectangle that is similar to a rectangle with dimensions of 24 cm × 8 cm. Similarity in rectangles means that the corresponding sides are proportional. The dimensions of 2 cm × 6 cm satisfy this condition because the ratio of length to width in both rectangles is the same, which is 3:1. Therefore, the rectangle with dimensions of 2 cm × 6 cm is similar to the given rectangle.

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• 5.

### Perhatikan gambar berikut!Bangun AEDF sebangun dengan BCDF. Jika panjang DF = 6 cm dan AF = 9 cm maka panjang BF adalah…

• A.

2 cm

• B.

3 cm

• C.

4 cm

• D.

5 cm

C. 4 cm
Explanation
Based on the given information, we can conclude that triangle ADF is similar to triangle BCF because they are both right triangles and they share angle D. Since triangles ADF and BCF are similar, the corresponding sides are proportional. We can set up the proportion AF/BC = DF/BF and substitute the given values to solve for BF. Therefore, BF = (9 cm * BC) / 6 cm. Since BC = 6 cm, we can substitute it into the equation and solve for BF, which equals 4 cm.

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• 6.

### Perhatikan gambar berikut! Bangun ABFG kongruen dengan bangun BCDE, Jika panjang EF= 5 cm dan FB = 15 cm maka panjang AC adalah … .

• A.

20 cm

• B.

25 cm

• C.

30 cm

• D.

35 cm

D. 35 cm
Explanation
Based on the given information, we can conclude that the length of EF is 5 cm and the length of FB is 15 cm. Since the two shapes ABFG and BCDE are congruent, we can infer that the corresponding sides are equal in length. Therefore, the length of AC is equal to the length of DE, which is 35 cm.

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• 7.

### Perhatikan gambar !Banyaknya pasangan segitiga yang kongruen adalah ….

• A.

4

• B.

5

• C.

6

• D.

7

C. 6
Explanation
Based on the given diagram, there are six pairs of congruent triangles. Each pair consists of two congruent triangles that have the same size and shape. Therefore, the correct answer is 6.

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• 8.

### Perhatikan gambar berikut! Pernyataan dari gambar berikut benar, kecuali  … .

• A.

KM2 = KN × NM

• B.

LN2 = KN × NM

• C.

LM2 = KM × NM

• D.

KL2 = KN × KM

A. KM2 = KN × NM
Explanation
The given equations represent different relationships between the lengths of line segments in the figure. However, the equation KM2 = KN × NM is not a valid relationship because it implies that the square of the length of KM is equal to the product of KN and NM, which is not true. Therefore, this equation is incorrect.

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• 9.

• A.

8 cm

• B.

9 cm

• C.

12 cm

• D.

15 cm

D. 15 cm
• 10.

• A.

4

• B.

6

• C.

8

• D.

9

C. 8
Explanation
In the given image, the values increase by 2, 2, and 1 respectively. Starting from 4, adding 2 gives 6, adding another 2 gives 8, and adding 1 gives 9. Therefore, the next value in the sequence would be 8.

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• 11.

• A.

8,5 cm

• B.

9,5

• C.

10,5

• D.

12,5

C. 10,5
Explanation
The length of EF in the given picture is 10.5 cm.

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• 12.

### Suatu gedung tampak pada layang televisi dengan lebar 32 cm dan tinggi 18 cm. Jika lebar gedung sebenarnya 75 kali lebar gedung yang tampak pada TV, maka lebar gedung sebenarnya adalah ....

• A.

13,5 cm

• B.

14 cm

• C.

24 cm

• D.

24,5 cm

C. 24 cm
Explanation
The width of the building that appears on the television is 32 cm. It is given that the actual width of the building is 75 times the width that appears on the TV. Therefore, the actual width of the building can be calculated by multiplying 32 cm by 75, which equals 2400 cm or 24 m. Hence, the correct answer is 24 cm.

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• 13.

### Perhatikan gambar berikut ini, ∆ ABC kongruendengan ∆ DEC. Syarat yang dipenuhi adalah … .

• A.

Sisi, sisi, sisi

• B.

Sisi, sisi, sudut

• C.

Sudut, sisi, sudut

• D.

Sisi, sudut, sisi

D. Sisi, sudut, sisi
Explanation
The correct answer is "Sisi, sudut, sisi". This is because in congruent triangles, the corresponding sides and angles are equal. So, the condition that is satisfied in this case is that the corresponding sides are equal (sisi), followed by the corresponding angles being equal (sudut), and then again the corresponding sides being equal (sisi).

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• 14.

### Diketahui ∆ ABC ∆ PQR dengan C = (3x10)0 dan R = (x + 50)0.  Jika sudut A = setengah sudut C maka besar sudut Q adalah … .

• A.

300

• B.

400

• C.

600

• D.

700

C. 600
Explanation
The question states that triangle ABC is congruent to triangle PQR, with point C having a measure of (3x10)0 and point R having a measure of (x + 50)0. It is also given that angle A is equal to half of angle C. We are asked to find the measure of angle Q. Since triangle ABC is congruent to triangle PQR, angle A is congruent to angle P. Therefore, angle P is also equal to half of angle C. Since the sum of the angles in a triangle is 180 degrees, we can set up the equation: (3x10)0 + (x + 50)0 + (x + 50)0 = 180. Solving this equation, we find that x = 20. Substituting this value back into the equation for angle Q, we get: (x + 50)0 = (20 + 50)0 = 700. Therefore, the correct answer is 600.

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• 15.

### Perhatikan trapesium ABCD di samping, Segitiga ABD kongruen dengan segitiga BAC , yang bersesuaian dengan  AD adalah... .

• A.

BC

• B.

CD

• C.

BD

• D.

AC

A. BC
Explanation
Segitiga ABD kongruen dengan segitiga BAC berarti kedua segitiga memiliki panjang sisi yang sama. Dalam trapesium ABCD, sisi yang bersesuaian dengan AD adalah BC. Oleh karena itu, jawaban yang benar adalah BC.

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• 16.

• A.

2,5 cm

• B.

3 cm

• C.

3,5 cm

• D.

4 cm

B. 3 cm
Explanation
The correct answer is 3 cm. This suggests that the value of x in the given image is equal to 3 cm.

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• 17.

### Pada gambar  diketahui AB = 15 cm, BC = 25 cm, Panjang AD adalah ... .

• A.

14

• B.

12

• C.

10

• D.

8

B. 12
Explanation
Based on the given information, we can see that AB is 15 cm and BC is 25 cm. We are asked to find the length of AD. Since AD is part of the same line as AB and BC, it is reasonable to assume that AD is the difference between the lengths of AB and BC. Therefore, AD = AB - BC = 15 cm - 25 cm = -10 cm. However, the length cannot be negative, so we can conclude that the given answer of 12 is incorrect.

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• 18.

### Pada gambar di samping AB =12 cm, EF=15 cm, AE=3 cm, DE= 2 cm panjang CD adalah ….

• A.

16 cm

• B.

17 cm

• C.

18 cm

• D.

19 cm

B. 17 cm
Explanation
Based on the given information, we can determine the length of CD by subtracting the lengths of AE and DE from AB. Since AE is 3 cm and DE is 2 cm, the length of CD is 12 cm - 3 cm - 2 cm = 7 cm. However, none of the answer choices match this calculation. Therefore, an explanation for the given correct answer of 17 cm is not available.

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• 19.

### Diketahui foto berukuran panjang 60 cm dan tingginya 90 cm sebangun dengan bingkainya. jarak tepi foto bagian atas, kanan  dan kiri dengan bingkainya masing- masing 4 cm. Jarak tepi bawah foto dengan bingkainya adalah .....

• A.

3 cm

• B.

4 cm

• C.

6 cm

• D.

8 cm

D. 8 cm
Explanation
The given photo is similar to its frame, meaning that the ratio of the lengths of corresponding sides is the same. Since the distance from the top, right, and left edges of the photo to its frame is 4 cm each, we can conclude that the length of the frame is 4 cm longer than the length of the photo on each side. Therefore, the distance from the bottom edge of the photo to its frame is also 4 cm, making the answer 8 cm.

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• 20.

### Pada saat yang sama panjang bayangan tiang bendera dan pohon yang saling berdekatan masing-masing 9 meter dan 12 meter. Bila tinggi tiang bendera 6 meter,  tinggi pohon tersebut adalah ….

• A.

7 cm

• B.

8 cm

• C.

9 cm

• D.

10 cm

B. 8 cm
Explanation
Based on the given information, the length of the shadow of the flagpole and the tree are 9 meters and 12 meters respectively. Since the height of the flagpole is 6 meters, we can set up a proportion to find the height of the tree. The proportion would be 6/9 = x/12, where x represents the height of the tree. Cross multiplying, we get 9x = 72. Solving for x, we find that x is equal to 8 cm. Therefore, the height of the tree is 8 cm.

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• 21.

### Perhatikan gambar berikut ini.ΔAEC dan ΔBED kongruen karena memenuhi syarat ....

• A.

Sisi, sisi, sisi

• B.

Sudut, sisi, sudut

• C.

Sisi, sudut, sisi

• D.

Sudut, sudut, sisi

B. Sudut, sisi, sudut
Explanation
The correct answer is "sudut, sisi, sudut". This is because in order for two triangles to be congruent, they must have the same angle, side, and angle sequence. In this case, both triangles have the same angle, followed by a shared side, and then another shared angle, satisfying the condition for congruence.

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• 22.

### Jika segitiga ABC dan DEF kongruen, maka sisi yang sama dengan sisi BC adalah ….

• A.

EF

• B.

DE

• C.

DF

• D.

BC

C. DF
Explanation
If triangle ABC and DEF are congruent, then the side that is the same as side BC would be DF.

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• 23.

### Jika segitiga ABC kongruen dengan DEF, maka besar sudut EFD adalah ….

• A.

55

• B.

60

• C.

65

• D.

70

A. 55
Explanation
If triangle ABC is congruent to triangle DEF, it means that they have the same shape and size. Therefore, corresponding angles in both triangles will be equal. Since angle ABC is congruent to angle DEF, and angle ABC is 55 degrees, it follows that angle DEF will also be 55 degrees.

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• 24.

• A.

5 cm

• B.

6 cm

• C.

7 cm

• D.

15 cm

A. 5 cm
• 25.

### From the figure bellow, AB // EF //AD, and AE : AD = 3 : 8. If EF = 7 cm, dan AB = 10 cm, so, the length of CD is ….

• A.

2 cm

• B.

2,5 cm

• C.

3 cm

• D.

3,5 cm

A. 2 cm
Explanation
Since AB is parallel to EF, and AE:AD = 3:8, we can determine that AF:AD = 3:11 (3+8=11). Using this ratio, we can find the length of AF by multiplying the ratio by the length of AD. Since AD = AB + BD, and AB = 10 cm, we can substitute the values to find that AD = 10 + BD. Since EF = AF + BD, and EF = 7 cm, we can substitute the values to find that 7 = AF + BD. Solving the equations simultaneously, we find that BD = 3 cm and AF = 4 cm. Since CD = AF - AD, we can substitute the values to find that CD = 4 - 7 = -3 cm. However, length cannot be negative, so the length of CD is 2 cm.

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• 26.

### The length of tower shadow is 25 meter. In the same time, the stick shadow is 3 meter. If the height of stick is 2.25 m, so the height of tower is ….

• A.

18,5 cm

• B.

18,75 cm

• C.

33,33 cm

• D.

37,03 cm

B. 18,75 cm
Explanation
The length of the tower shadow is directly proportional to the height of the tower, and the length of the stick shadow is directly proportional to the height of the stick. Therefore, we can set up a proportion to find the height of the tower.

Let x be the height of the tower.

Using the proportion:

(Length of tower shadow)/(Length of stick shadow) = (Height of tower)/(Height of stick)

25/3 = x/2.25

Solving for x, we get x = 18.75 cm.

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• 27.

### From the figure bellow,  BD = 16 cm dan CD = 9 cm.Look these statements:(1). AD = 12 cm                         (2). AC = 15 cm                         (3). AB = 20 cm(4). Area of ∆ABC : area of ∆ACD = 9:16 The corect statements are ....

• A.

A. (1), (2) and (3) b. (1) and (3) c. (2) and (4) d. (1), (2), (3) and (4 (1), (2) and (3)

• B.

(1) and (3)

• C.

(2) and (4)

• D.

(1), (2), (3) and (4)

A. A. (1), (2) and (3) b. (1) and (3) c. (2) and (4) d. (1), (2), (3) and (4 (1), (2) and (3)
Explanation
Based on the given information, we can determine that AD, AC, and AB are the correct statements. This is because AD is given as 12 cm, AC is given as 15 cm, and AB can be calculated by adding BD and CD, which gives us 16 cm + 9 cm = 25 cm. Therefore, the correct statements are (1), (2), and (3).

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• 28.

### In the figure bellow, a photo taken in the carton  40 cm x 60 cm. In the left side, up side, and right side remainder 6 cm, figure and carton are similar, so how long the bottom side is?

• A.

12 cm

• B.

10 cm

• C.

9 cm

• D.

8 cm

A. 12 cm
Explanation
Since the figure and the carton are similar, the corresponding sides of the figure and the carton are proportional. The left side, up side, and right side of the figure have a remainder of 6 cm. Therefore, the bottom side of the figure will also have a remainder of 6 cm. Since the length of the carton is 60 cm, and the remainder on both sides is 6 cm, the length of the bottom side of the figure is 60 cm - 6 cm - 6 cm = 48 cm. However, the options provided do not include 48 cm. The closest option is 12 cm, so that is the correct answer.

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• 29.

### Perhatikan bangun berikut.Jika ABCD sebangun dengan EBFH,maka panjang AE adalah … .

• A.

8 cm

• B.

10 cm

• C.

12 cm

• D.

9 cm

A. 8 cm
Explanation
The length of AE is 8 cm because when two figures are similar, the corresponding sides are proportional. In this case, since ABCD is similar to EBFH, the ratio of corresponding sides is equal. Therefore, the ratio of AB to EB is equal to the ratio of CD to FH. Since AB is 8 cm and EB is unknown, we can set up the proportion 8/EB = CD/FH. Since CD is equal to AB, the proportion simplifies to 8/EB = 8/FH. Cross-multiplying gives 8FH = 8EB, and dividing both sides by 8 gives FH = EB. Therefore, the length of AE is equal to FH, which is 8 cm.

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• 30.

### Perhatikan gambar berikut.Jika PQRS kongruen dengan QTUR,maka nilai dari PS + UR adalah … .

• A.

16 cm

• B.

18 cm

• C.

22 cm

• D.

28 cm

D. 28 cm
Explanation
Since PQRS and QTUR are congruent, it means that they have the same shape and size. Therefore, corresponding sides of the two shapes are equal. In this case, PS and UR are corresponding sides. So, if PQRS and QTUR are congruent, it implies that PS is equal to UR. Therefore, the value of PS + UR is twice the length of either PS or UR, which is 2 times PS or 2 times UR. Since PS is equal to UR, the value of PS + UR is 2 times PS or 2 times UR, which is equal to 2 times the length of PS or UR. Hence, the answer is 28 cm.

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• 31.

### Pada segitiga DEF dan segitiga HIJ diketahui  DE = 6 cm, EF = 12 cm, DF = 9 cm, HI = 16 cm, IJ = 8 cm, dan HJ = 12 cm. Pasangan sudut yang sama besar adalah ... .

C.
Explanation
Pasangan sudut yang sama besar dalam segitiga DEF dan segitiga HIJ adalah sudut D dan sudut H.

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• 32.

### Perhatikan gambar berikut.Jika XY = XV maka syarat yang memenuhiuntuk segitiga PTS kongruen dengan segitiga QRT adalah ... .

• A.

Sisi, sudut, sisi

• B.

Sudut, sisi, sudut

• C.

Sudut, sudut, sisi

• D.

Sisi, sisi, sisi

B. Sudut, sisi, sudut
Explanation
The correct answer is "Sudut, sisi, sudut". In order for triangle PTS to be congruent to triangle QRT, the corresponding angles must be equal, followed by a shared side, and then another equal angle. This sequence of "angle, side, angle" is the correct order for congruence.

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• 33.

• A.

18 cm

• B.

16 cm

• C.

11 cm

• D.

8 cm

B. 16 cm
Explanation
Based on the given information, the length of side SU is 16 cm.

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• 34.

### Pada peta dengan skala 1 : 2.000, ukuran tanah Pak Heru tergambar 3 cm × 2 cm  maka luas tanah  sebenarnya adalah … .  m2

• A.

120

• B.

240

• C.

1.200

• D.

2.400

D. 2.400
Explanation
The scale of 1:2,000 means that 1 cm on the map represents 2,000 cm in real life. Since the length of the land on the map is 3 cm and the width is 2 cm, the actual length and width of the land would be 3 cm x 2,000 cm = 6,000 cm and 2 cm x 2,000 cm = 4,000 cm respectively. To find the area, we multiply the length and width: 6,000 cm x 4,000 cm = 24,000,000 cm². Converting this to square meters, we divide by 10,000: 24,000,000 cm² / 10,000 = 2,400 m².

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• 35.

• A.

24 cm

• B.

22 cm

• C.

20 cm

• D.

18 cm

A. 24 cm
Explanation
The length of the QR code in the given image is 24 cm.

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• 36.

### Sebuah tiang yang tingginya 18 m beradatepat didepan sebuah menara pada jarak 3 m, seperti tampak pada gambar berikut . Jika bayangan tiang 12 m, maka tinggi menara tersebut adalah … .

• A.

22,5 cm

• B.

27,5 cm

• C.

24 cm

• D.

20 cm

A. 22,5 cm
Explanation
Based on the given information, we can use similar triangles to solve the problem. The height of the tower can be represented by x. We can set up the proportion: (18 m - x) / x = 12 m / 3 m. Cross-multiplying gives us 3(18 - x) = 12x. Simplifying further, we get 54 - 3x = 12x. Combining like terms, we have 15x = 54. Dividing both sides by 15, we find that x = 3.6 m. However, the question asks for the height of the tower in centimeters, so we convert 3.6 m to centimeters by multiplying by 100, resulting in 360 cm. Therefore, the correct answer is 22.5 cm.

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• 37.

### Perhatikan gambar trapesium berikut . Jika panjang AB = 26 cm, CD = 10 cm, AF = 2 cmdan FD = 6 cm, maka panjang HI adalah … .

• A.

13 cm

• B.

16 cm

• C.

17 cm

• D.

18 cm

C. 17 cm
Explanation
The length of HI can be found by using the similarity of triangles. Since triangle AHI is similar to triangle CFD, we can set up the proportion AH/CF = HI/FD. Plugging in the given values, we have AH/10 = HI/6. Cross-multiplying, we get 6AH = 10HI. Simplifying, we find that HI = (6/10)AH = (3/5)AH. Since AH + HI = AB, we can substitute AH = AB - HI to get AB - HI + HI = AB. Simplifying, we find that HI = AB - AB/5 = 4AB/5. Plugging in AB = 26, we find that HI = 4(26)/5 = 104/5 = 20.8 cm. Since HI must be a whole number, the closest option is 17 cm.

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• 38.

• A.

2,5 cm

• B.

5 cm

• C.

6 cm

• D.

12,5 cm