Answer :
In mathematics, 'dilation' is a transformation which alters the size of a shape but not its shape. For example, if the first pentagon is smaller and the second one is an enlarged version of the first, then the transformation from the first to the second is referred to as a dilation. The scale factor is the ratio of the lengths of corresponding sides in the two figures.
In mathematics, when we say a shape is 'dilated', we mean it has been transformed in a way that alters its size but not its shape. To visualize it, consider two pentagons, where the first pentagon is smaller and the second one is an enlarged version of the first. This transformation from the first to the second is referred to as a 'dilation'. Dilation is a similarity transformation which changes the size of a figure without altering its shape. The ratio of the lengths of corresponding sides in the two figures is called the scale factor of the dilation. For instance, if the length of a side of the second pentagon is twice that of the first pentagon, then the scale factor is 2.
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