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The ratio of any two corresponding lengths in two similar geometric figures is called a Scale Factor.

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12y ago

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What are the relationship between the area scale factor and the side length scale factor of similar figures?

The area scale factor is the square of the side length scale factor.


What is the relationship between scale factor and perimeter?

It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.


What is the relationship between scale factor and area?

The area is directly proportional to the square of the scale factor. If the scale factor is 2, the area is 4-fold If the scale factor is 3, the area is 9-fold If the scale factor is 1000, the area is 1,000,000-fold


Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?

Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.


What is the relationship between the actual and scale area?

If 'S' is the relationship between actual and scale linear dimensions,then 'S2' is the relationship between actual and scale areas.


What is the relationship between scale factor and ration of the volume?

I THINK it's Volume= Scale Factor squared. But I'm not at all a pro, so... yeah... This probably didn't help at all... I am sorry lC


What is the difference between variable proportions and returns to scale?

what is relationship between change in input and output. In the return's to scale (long term concept) all the factor are variable but in the variable proportions are some factor variable and some factors are fixed.


What is the relationship between the vertices of a shape the scale factor and the center of dilation?

None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.


What is used to show the relationship on a map and the actuall distance?

A scale factor


Is a scale factor of a dilation always between 0 and 1?

No, a scale factor of a dilation is not always between 0 and 1. A scale factor can be greater than 1, which results in enlargement, or it can be between 0 and 1, leading to a reduction. Additionally, a negative scale factor can invert the figure. Thus, the scale factor can vary widely, affecting the size and orientation of the figure being dilated.


What does the scale factor between two similar figures tell you about the perimeter?

The perimeter will scale by the same factor.


What is the difference between scale factor and scale ratio?

if two polygons are similar, then the ratio of the length of 2 corresponding sides is called a scale factor