The second statement is true. It is a reduction because 0 < n < 1.
What is dilation?
Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given: A triangle is dilated by a scale factor of n = 1/3. As n is less than 1 but greater than 0.
A dilation is a rigid transformation that forms an image that is the same shape as of the original figure but with a different size. A dilation transforms a figure by scalar factor 'n' about the center of dilation is a fixed point in the plane which never changes.
A dilation that forms a larger image is known as enlargement. A dilation that forms a smaller image is known as reduction.
• If n is greater than 1, then the image is an enlargement.
• If n is between 0 and 1, then the image is a reduction.
• If n is 1, the figure and then the image is exactly the same.
Hence the second statement is true. It is a reduction because 0 < n < 1.
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