Question

line segment qr is dilated to create line segment qr using the dilation rule $d_{t,1.5}$. what is y, the distance between points r and r? \bigcirc 3 units \bigcirc 4 units \bigcirc 6 units \bigcirc 9 units

Explanation:

Step1: Identify dilation properties

Dilation \(D_{T,1.5}\) means center \(T\), scale factor 1.5. Distance \(TR' = 1.5 \times TR\).

Step2: Calculate \(TR'\)

Given \(TR = 6\), so \(TR' = 1.5 \times 6 = 9\).

Step3: Find \(y = TR' - TR\)

\(y = 9 - 6 = 3\).

Answer:

A. 3 units