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Polygons abcd and efgh are similar. find the perimeter of efgh?
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
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.
If a polygon is dilated by a scale factor of 3 then the ratio of the perimeter of the original polygon to the image polygon is 1 to 3.?
When a polygon is dilated by a scale factor of 3, all its sides are multiplied by 3. This means the perimeter of the image polygon is 3 times the perimeter of the original polygon. Therefore, the ratio of the perimeters is 1:3, as stated. This ratio holds true for any polygon being dilated by the same scale factor.
What is special about the corresponding sides of similar figures?
The ratio of the corresponding sides is the same for each pair.
Triangles hij and mno are similar the perimeter of smaller triangle hij is 44 the lengths of two corresponding sides on the triangles are 13 and 26 what is the perimeter of mno?
Let the perimeter of the triangle MNO be x.Since the perimeters of similar polygons have the same ratio as any two corresponding sides, we have13/26 = 44/x (cross multiply)13x =1,144 (divide both sides by 13)x = 88Or since 13/26 = 1/2, the perimeter of the triangle MNO is twice the perimeter of the triangle HIJ, which is 88.
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.
If two polygons are similar then the ratio of their perimeter is equal to the ratios of their corresponding sides lenghts?
If two polygons are similar then the ratio of their perimeter is equal to the ratios of their corresponding sides lenghts?
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.
Polygons abcd and efgh are similar. find the perimeter of efgh?
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
The ratio of corresponding side lengths of two similar rectangular tables is 4 5 what is the ratio of perimeter?
It is the same.
Two similar rectangles have sides in ratio to two thirds what is the ratio of the perimeters?
Theorem: If two similar triangles have a scalar factor a : b, then the ratio of their perimeters is a : bBy the theorem, the ratio of the perimeters of the similar triangles is 2 : 3.For rectangles, perimeter is 2*(L1 + W1). If the second rectangle's sides are scaled by a factor S, then its perimeter is 2*(S*L1 + S*W1) = S*2*(L1 + W1), or the perimeter of the first, multiplied by the same factor S.In general, if an N-sided polygon has sides {x1, x2, x3....,xN}, then its perimeter is x1 + x2 + x3 + ... + xN. If the second similar polygon (with each side (labeled y, with corresponding subscripts) scaled by S, so that y1 = S*x1, etc. The perimeter is y1 + y2 + ... + yN = S*x1 + S*x2 + ... + S*xN = S*(x1 + x2 + ... + xN ),which is the factor S, times the perimeter of the first polygon.
If two similar kites have perimeters of 21 and 28 what is the ratio of the measure of two corresponding sides?
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.
If polygons ABCD and EFGH are similar. What is the perimeter of ABCD?
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.
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.
If Polygons abcd and efgh are similar what is the perimeter of efgh?
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.
If a polygon is dilated by a scale factor of 3 then the ratio of the perimeter of the original polygon to the image polygon is 1 to 3.?
When a polygon is dilated by a scale factor of 3, all its sides are multiplied by 3. This means the perimeter of the image polygon is 3 times the perimeter of the original polygon. Therefore, the ratio of the perimeters is 1:3, as stated. This ratio holds true for any polygon being dilated by the same scale factor.
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.
