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?
6 units
4 units
10 units
4.8 units

Explanation:

Step1: Determine the dilation factor

The dilation rule is \(D_{Q, 2.5}\), which means the dilation factor \(k = 2.5\).

Step2: Calculate the length of \(QU'\)

We know that \(QU=4\) units. After dilation, \(QU'=k\times QU\). So \(QU' = 2.5\times4=10\) units.

Step3: Find the distance \(x\)

Since \(x=QU' - QU\), substituting the values we get \(x = 10 - 4=6\) units.

Answer:

6 units