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The similarity ratio of two similar polygons is 2 and 3 Compare the smaller polygon to the larger polygon Find the ratio of their areas?
For two similar polygons, the ratio of their areas is equal to the square of the ratio of their corresponding side lengths. Given the similarity ratio of the smaller polygon to the larger polygon is 2:3, we calculate the area ratio as follows: ( \left(\frac{2}{3}\right)^2 = \frac{4}{9} ). Therefore, the ratio of the areas of the smaller polygon to the larger polygon is 4:9.
One pair of corresponding sides of two similar polygons measures 12 and 15 The perimeter of the smaller polygon is 30 Find the perimeter of the larger?
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.
What is the definition of corresponding sides?
n. in congruent polygons, the pairs of sides which can be superimposed on one another. In similar polygons, the ratio of the length of a side on the larger polygon to the length of its corresponding side on the smaller polygon is the same for all the sides.
What is the area of a larger polygon with a ratio of 8 7 with a smaller polygon when the area of the smaller polygon is 512 square meters?
It depends on whether the ratio applies to the areas or to the lengths of the sides.
What is a similar polygon?
There cannot be a similar polygon by itself. One polygon is similar to another if all of their corresponding angles are equal. This requires that the lengths of corresponding sides are in the same ratio: that is, if one polygon is a dilation of the other.
What is the ratio of corresponding sides of two similar triangles whose areas are 36 square inches and 144 square inches?
Areas are proportional to the square of corresponding sides. Therefore, in this case: * Divide 144 by 36. * Take the square root of the result. That will give you the ratio of the corresponding sides.
Is there a silver ratio if there's a golden ratio?
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
What are the surface areas of two similar figures are 27 and 1331 if the volume of the smaller one is 18 then what is the larger ones volume?
The ratio of the surface areas of two similar figures is equal to the square of the ratio of their corresponding linear dimensions. Given the surface areas are 27 and 1331, the ratio of their corresponding linear dimensions is the square root of ( \frac{1331}{27} ). Since the volume ratio is the cube of the linear dimension ratio, we can find the larger volume by calculating ( \frac{1331}{27} ) and then multiplying the smaller volume (18) by the cube of that ratio. The larger volume is therefore ( 18 \times \left(\frac{1331}{27}\right)^{\frac{3}{2}} = 486 ).
If two rectangular flags are similar in shape and their areas are 5m square and 0.8m square respectively and the height of the larger flag is 180cm what is the height of the smaller flag?
Sure, honey, let's break it down. Since the flags are similar, their corresponding sides are in proportion. The ratio of their areas is the square of the ratio of their heights. So, if the larger flag's height is 180cm, the smaller flag's height would be 120cm (180cm * sqrt(0.8/5) = 120cm). Voilà!
What is the ratio of a polygon?
It depends on the ratio of a polygon to WHAT!
What is the similarity ratio of a smaller cone with a height of 9 and a radius of 6 and a larger cone with a height of 15 and a radius of 10?
The smaller to the larger is a ratio of 6:10 or 3:5
If two pyramids are similar and the ratio between the length of their edges is 3.11 what is the ratio of their volume?
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.
