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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.
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What happens to the perimeter when the sides enlarge?
When the sides of a shape enlarge, the perimeter increases proportionally based on the lengths of the sides. For example, if each side of a polygon is increased by a certain factor, the new perimeter will be the original perimeter multiplied by that same factor. This means that enlarging the sides directly affects the total length around the shape, resulting in a larger perimeter.
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
How does proportional change in the dimensions affect the perimeter of a figure?
If you are asking how the perimeter of an object changes if the whole object is proportionally changed: The perimeter changes by the same factor as the change in proportion of the whole object. For example: given a square that is 2 units by 2 units, changed by a factor of four, the new size would be 8 units by 8 units. The original perimeter was 2+2+2+2=8. The new perimeter is 8+8+8+8=32. So, multiplying the original perimeter, 8, by the factor of proportional change, 4, we get 8x4=32. For any object, multiply the original perimeter by the factor of proportional change to arrive at the new perimeter.
How can you find the scale factor from one polygon to the other?
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
How does scale factor relate to perimeter?
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
How does proportional change in the dimensions affect the perimeter of a figure?
If you are asking how the perimeter of an object changes if the whole object is proportionally changed: The perimeter changes by the same factor as the change in proportion of the whole object. For example: given a square that is 2 units by 2 units, changed by a factor of four, the new size would be 8 units by 8 units. The original perimeter was 2+2+2+2=8. The new perimeter is 8+8+8+8=32. So, multiplying the original perimeter, 8, by the factor of proportional change, 4, we get 8x4=32. For any object, multiply the original perimeter by the factor of proportional change to arrive at the new perimeter.
How can you find the scale factor from one polygon to the other?
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
If two polygons are similar how can you find the scale factor from one polygon to the other?
divide the perimeter by 27 the multiply it by 3 and then u get the answer
When the sides of a polygon are tripled in length the perimeter increases by a factor of and the area increases by a factor of?
Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .
How does scale factor relate to perimeter?
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
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.
Carey drew an equilateral triangle with a perimeter of 45 inches. He dilated the triangle by a scale factor of 0.6. What is the length of each side of the image of the dilated triangle?
Ok if the triangle is equilateral then all the sides have to have the same length. Since the perimeter is 45 inches that means each side is 15 inches. 45 / 3 = 15 Now if he dilates the triangle by a scale factor of 0.6 we have to multiply the length of each side by 0.6. 15 * 0.6 = 9 So the answer is 9 inches
How does tripling the side lengths of a pentagon affect its perimeter?
Tripling the side lengths of a pentagon will result in tripling its perimeter. The perimeter is the sum of all the side lengths, so if each side is multiplied by three, the total perimeter also increases by the same factor. Therefore, if the original perimeter is (P), the new perimeter becomes (3P).
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
For parts ac what does the scale factor between two similar figures tell you about the given measurements a side lengths b perimeter c areas?
For a, it tells you how many times the side lengths grew or shrunk.For b, it tells you that the perimeter grows or shrinks: scale factor times original perimeter.For c, it tells you that the area grows or shrinks: scale factor squared times the original area.
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
