Question

which scale factor is an example of an enlargement? k = 0.75 k = 1/2 k = 3/2 k = 1

Explanation:

Step1: Recall the rule for enlargement

When the scale factor \(k> 1\), it is an enlargement.

Step2: Check each option

• For \(k = 0.75=\frac{3}{4}<1\), it is a reduction.
• For \(k=\frac{1}{2}=0.5 < 1\), it is a reduction.
• For \(k=\frac{3}{2}=1.5>1\), it is an enlargement.
• For \(k = 1\), the figure remains the same size.

Answer:

\(k=\frac{3}{2}\)