Question

which scale factors produce a contraction under a dilation of the original image? select each correct answer. -6 -0.5 0.5 6

Explanation:

Step1: Recall dilation contraction rule

A dilation produces a contraction if the absolute value of the scale factor \(k\) satisfies \(0 < |k| < 1\).

Step2: Evaluate each option

• For \(k=-6\): \(|-6|=6\), which is not between 0 and 1.
• For \(k=-0.5\): \(|-0.5|=0.5\), which is between 0 and 1.
• For \(k=0.5\): \(|0.5|=0.5\), which is between 0 and 1.
• For \(k=6\): \(|6|=6\), which is not between 0 and 1.

Answer:

B. -0.5
C. 0.5