Respuesta :
Answer:
If all the ratios are equal for all pairs of the corresponding side, then the pentagons are indeed proportional.
Step-by-step explanation:
To determine if two regular pentagons are proportional, we need to compare their corresponding sides.
In a regular pentagon, all sides are equal in length and all angles are equal. Therefore, if the two pentagons have the same side length ratio for their corresponding sides, then they are proportional.
Let's denote the side lengths of the first pentagon as and the side lengths of the second pentagon as .
To determine if the pentagons are proportional, we can compare the ratio of their side lengths:
ratio of side lengths= a/b
If this ratio is constant for all corresponding sides of the two pentagons, then the pentagons are proportional.
For example, if all corresponding sides have a ratio of 1:2 in the first pentagon and the same ratio of 1:2 in the second pentagon, then they are proportional.
To verify proportionality, compare the ratios of all corresponding sides of the two pentagons using the formula above. If the ratios are equal for all pairs of corresponding sides, then the pentagons are indeed proportional.
