Question

state whether a dilation with the given scale factor is a reduction or an enlargement.

1. ( k = 3 )
2. ( k=\frac{1}{3} )
3. ( k=\frac{5}{4} )
4. ( k = 0.93 )

Explanation:

Step1: Recall dilation rules

A dilation is an enlargement if $|k|>1$, and a reduction if $0<|k|<1$.

Step2: Analyze k=3

$3>1$, so it is an enlargement.

Step3: Analyze k=$\frac{1}{3}$

$0<\frac{1}{3}<1$, so it is a reduction.

Step4: Analyze k=$\frac{5}{4}$

$\frac{5}{4}=1.25>1$, so it is an enlargement.

Step5: Analyze k=0.93

$0<0.93<1$, so it is a reduction.

Answer:

1. Enlargement
2. Reduction
3. Enlargement
4. Reduction