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

either 4 or 9

Explanation:

Answer 2

`y= 3`

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`