Question

a triangle is dilated by a scale factor of ( n = \frac{1}{3} ). which statement is true regarding the dilation?
it is a reduction because ( n > 1 ).
it is a reduction because ( 0 < n < 1 ).
it is an enlargement because ( n > 1 ).
it is an enlargement because ( 0 > n > 1 ).

Explanation:

When the scale factor \(n\) of a dilation satisfies \(0 < n < 1\), the image is a reduction of the original figure. Here, \(n=\frac{1}{3}\) and \(0<\frac{1}{3}<1\).

Answer:

It is a reduction because \(0 < n < 1\).