Question

use each scale factor to determine if the scale drawing was a reduction or enlargement of the original image.
\frac{5}{12} \t 4 \t \frac{1}{10} \t 1\frac{1}{2} \t 0.5
reduction \t \circ \t \circ \t \circ \t \circ \t \circ
enlargement \t \circ \t \circ \t \circ \t \circ \t \circ

Explanation:

Step1: Recall scale factor rules

A scale factor \( s \) is a reduction if \( 0 < s < 1 \), and an enlargement if \( s > 1 \).

Step2: Analyze \( \frac{5}{12} \)

Check if \( \frac{5}{12} \) is between 0 and 1. \( \frac{5}{12} \approx 0.4167 \), so \( 0 < \frac{5}{12} < 1 \). Thus, it's a reduction.

Step3: Analyze \( 4 \)

Check if \( 4 > 1 \). Since \( 4 > 1 \), it's an enlargement.

Step4: Analyze \( \frac{1}{10} \)

Check if \( \frac{1}{10}=0.1 \) is between 0 and 1. \( 0 < 0.1 < 1 \), so it's a reduction.

Step5: Analyze \( 1\frac{1}{2}=\frac{3}{2}=1.5 \)

Check if \( 1.5 > 1 \). Since \( 1.5 > 1 \), it's an enlargement.

Step6: Analyze \( 0.5 \)

Check if \( 0.5 \) is between 0 and 1. \( 0 < 0.5 < 1 \), so it's a reduction.

Answer:

• \( \frac{5}{12} \): Reduction
• \( 4 \): Enlargement
• \( \frac{1}{10} \): Reduction
• \( 1\frac{1}{2} \): Enlargement
• \( 0.5 \): Reduction