Tes Kesebangunan Dan Kekongruenan Quiz 1

Explanation
The given answer is "dua buah segitiga sama kaki" (two isosceles triangles). This is because all the other shapes mentioned in the question (two equilateral triangles, two squares, and two circles) are congruent to each other, meaning they have the same shape and size. However, isosceles triangles have two sides of equal length and one side of a different length, so they are not congruent to the other shapes mentioned.

Explanation
The given rectangle is 4 cm x 5 cm. To find a rectangle that is similar to it, we need to find another rectangle with the same ratio of length to width. By comparing the dimensions of the given rectangle, we can see that the ratio of length to width is 4:5. Among the options, only the rectangle with dimensions 8 cm x 10 cm has the same ratio of 4:5. Therefore, the rectangle with dimensions 8 cm x 10 cm is similar to the given rectangle.

Explanation
The length of BC in the parallelogram is 6 cm because the parallelogram is similar to the other parallelogram, which means that the corresponding sides are proportional. Since the length of DE is 6 cm, the length of BC must also be 6 cm.

Explanation
The value of x + y can be found by comparing the corresponding angles in the congruent parallelograms ABCD and PQRS. Since the angles at A and P are congruent, and the angles at B and Q are congruent, we can conclude that x + y = 180°. Therefore, the correct answer is 180.

Explanation
The given jajargenjang PQRST consists of two congruent triangles, ΔPSR and ΔRQP. We can determine this by observing that both triangles have the same angles and side lengths. Therefore, the correct answer is ΔPSR dengan ΔRQP.

Explanation
The height of the building is 46 m and the length of its shadow is 66 m. Using the concept of similar triangles, we can set up a proportion to find the length of the shadow of the pole. The ratio of the height of the building to the length of its shadow is equal to the ratio of the height of the pole to the length of its shadow. Solving for the length of the shadow of the pole, we get 66/46 = x/18. Cross multiplying, we get 46x = 66 * 18. Dividing both sides by 46, we find that x is approximately equal to 22. Therefore, the length of the shadow of the pole is 22 meters.

Explanation
In a similar triangle, corresponding sides are proportional. Since the sides of the given triangle are in the ratio 20:15:10:7.5, we can set up the proportion 20/15 = 10/x. Solving for x, we find x = 10. Therefore, the value of x in the given similarity triangle is 10.

Explanation
When a square is cut by its diagonals, it creates four congruent triangles. Each diagonal divides the square into two congruent triangles, so there are a total of four congruent triangles. However, each pair of congruent triangles consists of two triangles, so the number of pairs of congruent triangles is double the number of congruent triangles. Therefore, there are 8 pairs of congruent triangles.

Explanation
The given correct answer states that "sudut-sudut yang bersesuaian memiliki perbandingan yang senilai" is not a condition for congruence in a plane. This means that corresponding angles having equal ratios is not a requirement for two figures to be congruent. Congruence in a plane is determined by the equality of corresponding sides and the equality of corresponding angles. Therefore, the statement "sudut-sudut yang bersesuaian memiliki perbandingan yang senilai" is incorrect in the context of congruence in a plane.

Explanation
Segitiga dikatakan kongruen jika memiliki panjang sisi yang sama atau sudut yang sama. Namun, syarat "sudut - sudut - sudut" tidak dapat digunakan untuk menyimpulkan bahwa dua segitiga kongruen. Karena dua segitiga dapat memiliki sudut yang sama tetapi ukuran sisi yang berbeda. Oleh karena itu, "sudut - sudut - sudut" bukanlah syarat untuk dua segitiga dikatakan kongruen.