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 ( 0 > n > 1 ).
it is an
enlargement
because ( n>1 ).

Explanation:

Step1: Recall the rule of dilation

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 \(0 < n < 1\)