There are two regular pentagons- Pentagon A and B. One of the sides of Pentagon A is 4 inches in length. The corresponding side Pentagon B is 6 inches. Are these two pentagons similar?
all regular pentagons are similar.
To determine if two polygons are similar, we need to compare their corresponding sides and angles.
In this case, we are given that one side of Pentagon A is 4 inches, and the corresponding side of Pentagon B is 6 inches. To compare the sides, we can calculate the ratio of the corresponding sides:
Ratio of corresponding sides = Length of side of Pentagon B / Length of side of Pentagon A
Ratio of corresponding sides = 6 inches / 4 inches = 1.5
If the ratio of the corresponding sides of two polygons is the same for all pairs of corresponding sides, then the polygons are similar.
In this case, since the ratio of the corresponding sides is 1.5, it means that for every 1 inch increase in side length in Pentagon A, there is a corresponding 1.5 inch increase in side length in Pentagon B. Therefore, we can conclude that Pentagon A and Pentagon B are similar.