Tell whether the pair of polygons is similar. Explain why or why not.
The polygon A is bigger. The side of the polygon is 10ft and the top sides of the polygon is 11ft.
The polygon B is smaller. The side of the polygon is 8.4ft and the top side of the polygon is 9.4Ft.
My answer:
No, it's not similar. Because if you put it in proportion it won't add of the same.
strange language, but you have the right ides, because
10/8.4 ≠ 11/9.4
To determine whether the polygons A and B are similar, we need to compare their corresponding side lengths.
In polygon A, the side length is 10ft, and the top side length is 11ft. In polygon B, the side length is 8.4ft, and the top side length is 9.4ft.
To check for similarity, we can calculate the ratios of corresponding side lengths. The ratio of the side lengths of A and B is:
10ft / 8.4ft = 1.19
The ratio of the top side lengths of A and B is:
11ft / 9.4ft = 1.17
Since the ratios of the side lengths and the top side lengths are not equal to each other, the polygons A and B are not similar.
Therefore, the statement is correct - the pair of polygons is not similar because their corresponding side lengths do not form equal ratios.
To determine whether the pair of polygons is similar, we need to compare the corresponding sides of both polygons and check if they are in proportion.
In polygon A, the side length is 10ft and the top side length is 11ft. In polygon B, the side length is 8.4ft and the top side length is 9.4ft.
To check if the polygons are similar, we need to compare the ratios of the corresponding side lengths.
For polygon A, the ratio of the side length to the top side length is 10:11, which can also be expressed as 10/11.
For polygon B, the ratio of the side length to the top side length is 8.4:9.4, which can also be expressed as 8.4/9.4.
To determine if the ratios are equal, we can simplify them. Simplifying the ratio 10/11 yields 0.909. Simplifying the ratio 8.4/9.4 yields 0.894.
Since the ratios are not equal (0.909 ≠ 0.894), the pair of polygons is not similar. The sides of the polygons do not maintain the same proportional relationship, indicating that the polygons are not identical in shape.