line segment qr is dilated to create line segment qr using the dilation rule d_{t,1.5}. what is y, the…

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

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

Answer

Answer:

3 units

Explanation:

Step1: Recall dilation property

Dilation from a point (T) with scale - factor (k = 1.5). Let the distance from (T) to (R) be (TR=6). Let the distance from (T) to (R') be (TR'). Then (TR'=k\times TR).

Step2: Calculate (TR')

Since (k = 1.5) and (TR = 6), then (TR'=1.5\times6 = 9).

Step3: Find (y)

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