Question

Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line segment Q R is dilated to create line segment Q prime R prime. The length of R T is 6 and the length of R prime R is y. What is y, the distance between points R and R'?

Answer 1

Answer:

$y= 3$

Step-by-step explanation:

Given

$RT = 6$

$k = 1.5$ --- dilation ratio

See attachment

Required

Determine length, y

First, we calculate length R'T.

Since point T is the center of dilation, then:

$R'T = k * RT$

Substitute known values

$R'T = 1.5 * 6$

$R'T = 9$

y is between R'T and RT;

So:

$y = R'T - RT$

$y = 9 -6$

$y= 3$

Answer 2

Answer:

either 4 or 9

Step-by-step explanation: