Question

line segment su is dilated to create su using the dilation rule ( d_{q,2.5} ). what is the distance, x, between points u and u?
○ 4 units
○ 4.8 units
○ 6 units
○ 10 units

Explanation:

Step1: Find length of QU'

Dilation rule \( D_{Q,2.5} \) means scale factor 2.5 from center Q. So \( QU' = 2.5 \times QU \). Given \( QU = 4 \), so \( QU' = 2.5 \times 4 = 10 \).

Step2: Calculate distance x

Distance \( x = QU' - QU \). Substitute values: \( x = 10 - 4 = 6 \).

Answer:

6 units