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? 3 units 4 units 6 units 9 units

Explanation:

Step1: Recall the dilation formula

If a point \(P\) is dilated with a scale factor \(k\) about a center \(C\), then \(CP'=k\times CP\). Here, the scale factor \(k = 1.5\) and \(TR = 6\). So \(TR'=1.5\times6 = 9\).

Step2: Calculate the distance \(y\)

We know that \(y=TR'-TR\). Substitute \(TR' = 9\) and \(TR = 6\) into the formula. Then \(y=9 - 6=3\).

Answer:

3 units