Latihan Soal Online : Kesebangunan Dan Kekongruenan

Explanation
The scale of the map can be calculated by dividing the distance on the map by the corresponding distance on the ground. In this case, the distance on the map is 3.2 cm and the corresponding distance on the ground is 288 km. By dividing 288 km by 3.2 cm, we get a scale of 1 : 9,000,000. This means that 1 cm on the map represents 9,000,000 cm or 90 km on the ground.

Explanation
The length of the body of the airplane is 24 meters and the length of its wings is 32 meters. In the model, the length of the wings is scaled down to 12 cm. To find the length of the body of the airplane in the model, we can set up a proportion:

24 meters / 32 meters = x cm / 12 cm

Cross-multiplying, we get:

24 meters * 12 cm = 32 meters * x cm

288 cm = 32 meters * x cm

Dividing both sides by 32 meters, we get:

x cm = 9 cm

Therefore, the length of the body of the airplane in the model is 9 cm.

Explanation
The given figure shows a parallelogram with two congruent triangles. The congruent triangles can be formed by drawing a diagonal line from one vertex of the parallelogram to the opposite side. This diagonal line divides the parallelogram into two congruent triangles. Therefore, the number of pairs of congruent triangles in the given figure is 6.

Explanation
The explanation for the correct answer "Sudut, sisi, sudut" is that the given information states that AD is parallel to BC and AD is equal to BC. This implies that angle DAE is congruent to angle CEB because they are corresponding angles formed by the parallel lines. Additionally, the information does not provide any details about the lengths of the sides, so it cannot be determined if the sides are congruent. Therefore, the correct condition for the congruence of the triangles is angle, side, angle.

Explanation
Based on the given information, we can use the Pythagorean theorem to find the length of BC. Since AC and DE are perpendicular to each other, we can consider them as the legs of a right triangle. Using the theorem, we have AC^2 + DE^2 = BC^2. Substituting the given values, we get 6^2 + 3^2 = BC^2. Simplifying, we have 36 + 9 = BC^2. Therefore, BC^2 = 45. Taking the square root of both sides, we get BC = √45 = √(9 * 5) = 3√5. Since the answer options are given in whole numbers, we can approximate √5 to be around 2.24. Therefore, BC is approximately equal to 3 * 2.24 = 6.72, which is closest to 7 cm. Hence, the correct answer is 7 cm.

Explanation
Based on the given information, we can use the triangle similarity theorem to solve for the length of BE. Since DE and CE are parallel, we can form similar triangles ABE and CDE. Using the proportionality of corresponding sides, we can set up the equation: AB/DE = BE/CE. Plugging in the given values, we get 36/24 = BE/30. Solving for BE, we find that BE = 15 cm.

Explanation
The length of KM is 12 cm and the length of MO is 6 cm. To find the length of ML, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, ML) is equal to the sum of the squares of the lengths of the other two sides (in this case, KM and MO). Using this theorem, we can calculate that the length of ML is 24 cm.

Explanation
CF : BF = 2 : 3 means that the ratio of CF to BF is 2 to 3. Since the total ratio is 5 (2 + 3), we can divide the total length of EF (which is 30 cm - 20 cm = 10 cm) into 5 equal parts. Each part represents 2 cm (10 cm divided by 5). Since EF consists of 3 parts, the length of EF is 3 times 2 cm, which is 6 cm. However, EF is the total length of EF and CF, so to find the length of EF alone, we subtract the length of CF (which is 2 cm) from the total length of EF, resulting in 6 cm - 2 cm = 4 cm. Therefore, the length of EF is 4 cm.