No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.
Center and Scale Factor....
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
A scale factor of one means that there is no change in size.
It is (2.5x, 2.5y) where P =(x,y).
It is (2.5x, 2.5y) where P =(x,y).
The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.
greater then 1
A diliation is a reduction if the scale factor is: less than 1.
The dilation of 22 with scale factor 2.5 is 55.The formula for finding a dilation with a scale factor is x' = kx (k = scale factor), so x' = 2.5(22) = 55.
To determine whether a dilation is a reduction or an enlargement, compare the scale factor to 1. If the scale factor is greater than 1, the dilation is an enlargement, as the image will be larger than the original. Conversely, if the scale factor is between 0 and 1, the dilation is a reduction, resulting in a smaller image. Additionally, you can observe the distances from the center of dilation; if they increase, it's an enlargement, and if they decrease, it's a reduction.
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.
With a scale factor of 1, the image is exactly the same size as the original object.
Center and Scale Factor....
The two key characteristics of a dilation are the center of dilation and the scale factor. The center of dilation is a fixed point in the plane from which all other points are expanded or contracted. The scale factor determines how much the figure is enlarged or reduced; a scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation preserves the shape of the figure but changes its size.
false
The rule for dilations in geometry involves resizing a figure by a scale factor relative to a fixed point known as the center of dilation. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. The coordinates of a point (x, y) after dilation can be found using the formula (kx, ky), where k is the scale factor. The center of dilation remains fixed while all other points change their distance from it based on the scale factor.
0.5