Question

sylvia enlarged a photo to make a 24 × 32 inch poster using the dilation ( d_{q,4} ). what are the dimensions, in inches, of the original photo?
options:
18 × 24
3 × 8
6 × 8
12 × 16

Explanation:

Step1: Understand Dilation

Dilation \( D_{Q,4} \) means scaling by a factor of 4 from center \( Q \). So original dimensions = enlarged dimensions \( \div 4 \).

Step2: Calculate Original Length

Enlarged length is 24 in. Original length: \( \frac{24}{4} = 6 \) in.

Step3: Calculate Original Width

Enlarged width is 32 in. Original width: \( \frac{32}{4} = 8 \) in.

Answer:

6 × 8 (the option with "6 × 8")