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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 can you find the scale factor of a dilation?
To find the scale factor of a dilation, compare the lengths of corresponding sides of the original figure and the dilated figure. The scale factor (k) can be calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure: ( k = \frac{\text{length in dilated figure}}{\text{length in original figure}} ). If the dilation is centered at a point, ensure both figures are oriented similarly for accurate measurements.
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.
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 can you find the scale factor of a dilation?
To find the scale factor of a dilation, compare the lengths of corresponding sides of the original figure and the dilated figure. The scale factor (k) can be calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure: ( k = \frac{\text{length in dilated figure}}{\text{length in original figure}} ). If the dilation is centered at a point, ensure both figures are oriented similarly for accurate measurements.
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
Polygon XYZW and nbspis dilated by a scale factor of 2 with point T as the center of dilation resulting in the image X and primeY and primeZ and primeW and prime. If point T lies on and nbspwhat can b?
If point T lies on polygon XYZW, the dilation will cause the vertices of the polygon to move away from T, effectively enlarging the polygon. Since T is a point on the original polygon, the segments connecting T to the vertices of XYZW will be extended, resulting in the new vertices X', Y', Z', and W' being positioned further away from T. The shape of the polygon will remain the same, but its size will increase by a factor of 2.
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 .
What is the rule for a dilation which makes the transformed polygon twice the size of the original polygon?
To dilate a polygon so that the transformed polygon is twice the size of the original, you need to use a scale factor of 2. This means that for each point of the original polygon, you will multiply its coordinates by 2, relative to a chosen center of dilation. The result will be a polygon that retains the same shape but has dimensions that are twice as large.
What is the scale factor of this dilation?
To determine the scale factor of a dilation, you compare the lengths of corresponding sides of the original figure and its dilated image. The scale factor is calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure. If the scale factor is greater than 1, the figure has been enlarged; if it's less than 1, the figure has been reduced. Specific values would require the lengths of the sides in question.
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.
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.
