Tes Kesebangunan Dan Kekongruenan 1

The given question asks for a rectangle that is similar to a rectangle with dimensions of 4 cm x 5 cm. In similar shapes, corresponding sides are proportional. Therefore, to find a similar rectangle, we need to find a rectangle with dimensions that have the same ratio as 4 cm x 5 cm. The ratio of the length to the width of the given rectangle is 4:5. The only option that has the same ratio is 8 cm x 10 cm, as the ratio of 8:10 is also 4:5.

The given jajargenjang PQRST consists of two congruent triangles, ΔPSR and ΔRQP. This can be determined by observing that both triangles share the same base PQ and have the same height, which is the distance between line segment PS and line segment RQ. Therefore, ΔPSR and ΔRQP are congruent.

All the given shapes are polygons, except for the two isosceles triangles. The other shapes (two squares, two equilateral triangles, and two circles) are all regular polygons with equal sides and angles. However, the two isosceles triangles have different side lengths, making them not congruent to each other.

The length of BC is 6 cm because the two quadrilaterals, ABCD and DEFG, are similar. In similar figures, corresponding sides are proportional. Since BC corresponds to EF, which is 8 cm, the ratio of BC to EF is the same as the ratio of the corresponding sides in the similar figures. Therefore, BC is 6 cm, which is obtained by multiplying 8 cm by the scale factor of the similar figures.

The sum of the interior angles of a parallelogram is always 360 degrees. In the given figure, the angle x is congruent to the angle P, and the angle y is congruent to the angle R. Since the parallelogram ABCD is congruent to the parallelogram PQRS, the sum of the angles in both parallelograms is equal. Therefore, x + y = P + R. Since the sum of the angles in a parallelogram is 360 degrees, P + R = 360. Therefore, x + y = 360. The only answer choice that satisfies this equation is 260.

Dalam geometri, dua segitiga dikatakan kongruen jika memiliki semua sudut yang sama dan semua sisi yang sama panjang. Namun, syarat sudut-sudut-sudut tidak cukup untuk menentukan kongruensi segitiga. Sebagai contoh, dua segitiga dengan sudut yang sama tetapi panjang sisi yang berbeda tidak akan kongruen. Oleh karena itu, pilihan "sudut-sudut-sudut" bukanlah syarat yang cukup untuk menentukan kongruensi segitiga.

The value of x in the given similar triangles can be determined by observing the ratio of corresponding sides. In this case, we can see that the ratio of the corresponding sides is 20:15:10:7.5. By comparing the sides, we can conclude that x is equal to 10.

When a square is cut by its diagonals, it creates four congruent triangles. Each of these triangles can be paired with three other triangles to form a pair of congruent triangles. Therefore, there are a total of 4 x 3 = 12 pairs of congruent triangles. However, since each pair consists of two triangles, we need to divide the total number of pairs by 2 to get the final answer. Therefore, there are 12 / 2 = 6 pairs of congruent triangles.

The given correct answer states that statement (a) and (b) are correct. This means that the comparison of corresponding sides and the equality of corresponding angles are conditions for congruence in a plane. However, the answer does not include statement (c), which states that the corresponding angles have equal ratios. Therefore, statement (c) is not a requirement for congruence in a plane.

The question is asking for the length of the shadow of a pole given its height and the height and length of the shadow of a building. We can solve this problem using similar triangles. Since the building is 46 m tall and its shadow is 66 m long, the ratio of the height to the length of the shadow is 46/66. We can set up a proportion with the height of the pole (18 m) and the length of its shadow (x) as the unknown. Solving the proportion, we find that x = (18 * 66) / 46 = 22. Therefore, the length of the shadow of the pole is 22 m.