If two polygons are similar then the ratio of their perimeter is equal to the ratios of their corresponding sides lenghts?
Yes, the corresponding sides of two similar regular polygons must have equal lengths. This is because both the polygons are similar, which means that since they are also polygons, they must have equal lengths.
similar polygons
Similar polygons are polygons for which all corresponding angles are congruent and all corresponding sides are proportional. From this definition we can say they have the same shape.
Two polygons are similar if and only if the corresponding angles are congruent
The perimeters of two similar polygons have the same ratio as the measure of any pair of corresponding sides. So the ratio of the measure of two corresponding sides of two similar kites with perimeter 21 and 28 respectively, is 21/28 equivalent to 3/4.
Yes, the corresponding sides of two similar regular polygons must have equal lengths. This is because both the polygons are similar, which means that since they are also polygons, they must have equal lengths.
To find the perimeter of polygon abcd, we need to know the lengths of its sides or the ratio of similarity between the two polygons. Since polygons abcd and efgh are similar, their perimeters are proportional to the corresponding sides. If you provide the perimeter of efgh and the ratio of similarity, I can help you calculate the perimeter of abcd.
To find the area ratio of two similar polygons, you square the ratio of their corresponding side lengths. If the ratio of the sides is ( r ), the area ratio will be ( r^2 ). The perimeter ratio of two similar polygons is simply the same as the ratio of their corresponding side lengths, ( r ). Thus, if the side length ratio is known, both the area and perimeter ratios can be easily calculated.
It is k times the perimeter of EFGH where k is the constant ratio of the sides of ABCD to the corresponding sides of EFGH.
similar polygons
It is k times the perimeter of abcd where k is the constant ratio of the sides of efgh to the corresponding sides of abcd.
Similar polygons are polygons for which all corresponding angles are congruent and all corresponding sides are proportional. From this definition we can say they have the same shape.
It is k times the perimeter of eh where k is the constant ratio of the sides of abcd to the corresponding sides of efgh.
Proportional.
yes.
The perimeter of the larger polygon will have the same ratio to the perimeter of the smaller as the ratio of the corresponding sides. Therefore, the larger polygon will have a perimeter of 30(15/12) = 37.5, or 38 to the justified number of significant digits stated.
To be considered similar, two polygons must have corresponding angles that are equal, and their corresponding sides must be in proportion, rather than equal. This means that while the shapes of the polygons are the same, their sizes may differ. Thus, similar polygons maintain the same shape but can vary in scale.