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:

Step1: Recall dilation rules

When \(n>1\), dilation is enlargement. When \(0 < n < 1\), dilation is reduction.

Step2: Analyze given scale factor

Given \(n=\frac{1}{3}\), and \(0<\frac{1}{3}<1\). So, it is a reduction.

Answer:

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