Question

classify each scale factor as a contraction or an expansion. drag and drop the choices into the boxes to complete the table. contraction expansion 1.25 3 - 2 \\( \frac { 3 } { 4 } \\) \\( \frac { 1 } { 5 } \\)

Explanation:

Step1: Recall the rules for contraction and expansion

If the scale factor \(k\) satisfies \(0 < |k| < 1\), it is a contraction. If \(|k|> 1\), it is an expansion.

Step2: Analyze each scale - factor

• For \(k = 1.25\), since \(|1.25|=1.25>1\), it is an expansion.
• For \(k = 3\), since \(|3| = 3>1\), it is an expansion.
• For \(k=-2\), since \(|-2| = 2>1\), it is an expansion.
• For \(k=\frac{3}{4}\), since \(|\frac{3}{4}|=\frac{3}{4}=0.75<1\), it is a contraction.
• For \(k=\frac{1}{5}\), since \(|\frac{1}{5}|=\frac{1}{5}=0.2<1\), it is a contraction.

Answer:

Contraction: \(\frac{3}{4},\frac{1}{5}\)
Expansion: \(1.25,3, - 2\)