The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:
What is Scale Factor?
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.
As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.
If the scale factor is between 0 and 1 the image is a reduction.
Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.
Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
Learn more about scale factor here:
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