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> ) it is a reduction because ( 0<1<1 ) it is an enlargement because ( n>1 ) it is an enlargement because ( 0>n>1 )

Explanation:

Step1: Recall dilation rules

If the scale factor \(n\) of a dilation satisfies \(0 < n<1\), the dilation is a reduction. If \(n > 1\), the dilation is an enlargement.

Step2: Analyze the given scale factor

Given \(n=\frac{1}{3}\), and \(0<\frac{1}{3}<1\).

Answer:

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