Answer:
Option B
Step-by-step explanation:
For the polygons to be similar, the dilation ratio must be uniform for all sides.
>> In option A, each side of the bigger hexagon is 8cm while each side of the smaller one is 5 cm. Thus, the dilation ratio is uniform at 8:5. Thus, they are similar polygons.
>> In option B, the longer side of the big rectangle is 12 inches and reduces to 10 inches. Which means a ratio of 6:5 whereas, the shorter side reduces from 7 to 6 which is a ratio 7:6. Since both ratios are different, then it means that both rectangles are not similar.
>> In option C, the hypotenuse of the big triangle is 15 m and reduces to 10 m in the small triangle. This gives a ratio of 3:2.
The perpendicular side of the big triangle is 9m which reduces to 6 m in the small one. This is a ratio of 3:2.
The horizontal side of the big triangle 12m which reduces to 8m in the small triangle. This is a ratio of 3:2.
Since all the ratios are same, then they are similar triangles.
>> In option D, each side of the bigger polygon is 7ft while each side of the smaller one is 4ft. Thus, the dilation ratio is uniform at 7:4. Thus, they are similar polygons.
