Question

finding the missing distance
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?

( circ ) 4 units
( circ ) 4.8 units
( circ ) 6 units
( circ ) 10 units

Explanation:

Step1: Find QS' length

QS' = QS × scale factor = 3.2 × 2.5 = 8
SS' = QS' - QS = 8 - 3.2 = 4.8 (matches diagram, confirms scale)

Step2: Calculate QU' length

QU' = QU × scale factor = 4 × 2.5 = 10

Step3: Compute U'U distance

U'U = QU' - QU = 10 - 4 = 6

Answer:

C. 6 units