Question

which scale factors produce an expansion under a dilation of the original image? select each correct answer. 0.7 0.8 7 8

Explanation:

Step1: Recall dilation expansion rule

A dilation produces an expansion when the scale factor \( k \) satisfies \( |k|> 1 \).

Step2: Analyze each option

• For \( 0.7 \): \( |0.7| = 0.7<1 \), so it's a contraction.
• For \( 0.8 \): \( |0.8|=0.8 < 1 \), so it's a contraction.
• For \( 7 \): \( |7| = 7>1 \), so it's an expansion.
• For \( 8 \): \( |8|=8 > 1 \), so it's an expansion.

Answer:

C. 7, D. 8