A dilation with a scale factor greater than 1, such as the dilation above, is an enlargement. A dilation with a scale factor less than 1 but greater than 0 is a reduction. So, in general, a dilation either enlarges or reduces the size of a figure but does not change the measure of the angles.
The statement "a dilation with a scale factor greater than 1 is a reduction." is false.
Dilation is a kind of transformation in which the cartesian coordinates are changed by adding a scalar quantity to them. Dilation can also occur when the size of the image is altered without making any other changes.
The given image with exactly the same coordinates and the same size would have a scale factor of one.
When the scale factor is greater than one, the figure gets bigger. If the scale factor is two, then the image is two times bigger than the original image. This would be an expansion.
When the scale factor is less than one, the figure gets smaller. If the scale factor is 0.5, it means that the image is half the size of the first image.
This would be a reduction.
From this, we can tell that the statement "a dilation with a scale factor greater than 1 is a reduction" is false.
Therefore, we have found that the statement "a dilation with a scale factor greater than 1 is a reduction" is false.
Learn more about dilations here: https://brainly.com/question/3457976
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