Question

which scale factor is an example of a reduction? k = 1 k = 1/2 k = 2.5 k = 3/2

Explanation:

Step1: Recall the concept of scale factor

A scale factor \(k\) represents a reduction when \(0 < k< 1\).

Step2: Analyze each option

• For \(k = 1\), it is a congruence (no change).
• For \(k=\frac{1}{2}=0.5\), since \(0<0.5 < 1\), it is a reduction.
• For \(k = 2.5>1\), it is an enlargement.
• For \(k=\frac{3}{2}=1.5>1\), it is an enlargement.

Answer:

\(k = \frac{1}{2}\)