Question

use each scale factor to determine if the scale drawing was a reduction or enlargement of the original image. \\(\frac{2}{12}\\) \\(4\\) \\(\frac{1}{5}\\) \\(\frac{7}{2}\\) \\(0.5\\) \
reduction \
\\(\circ\\) \\(\circ\\) \\(\circ\\) \\(\circ\\) \\(\circ\\) \
enlargement \
\\(\circ\\) \\(\circ\\) \\(\circ\\) \\(\circ\\) \\(\circ\\)

Explanation:

Step1: Recall scale factor rules

A scale factor \( s \) less than 1 means reduction (image smaller than original), \( s \) greater than 1 means enlargement (image larger than original).

Step2: Analyze each scale factor

• \( \frac{2}{12}=\frac{1}{6}\approx0.167 \): \( <1 \) → Reduction
• \( 4 \): \( >1 \) → Enlargement
• \( \frac{1}{5}=0.2 \): \( <1 \) → Reduction
• \( \frac{7}{2}=3.5 \): \( >1 \) → Enlargement
• \( 0.5 \): \( <1 \) → Reduction

Answer:

• \( \frac{2}{12} \): Reduction
• \( 4 \): Enlargement
• \( \frac{1}{5} \): Reduction
• \( \frac{7}{2} \): Enlargement
• \( 0.5 \): Reduction