Question

Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.

Point T is the center of dilation. Line segment X Y is dilated to create a shorter line segment X prime Y prime. The length of T X prime is 6 and the length of T Y prime is 9. The length of X X prime is 2.

What is YT?

3 units
6 units
12 units
15 units

Answer 1

the answer is 12 units

Explanation:

Answer 2

`YT=12\ units`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles XYT and X'Y'T are similar by AA Similarity Theorem

so

`(XT)/(YT)=(X'T)/(Y'T)`

substitute the given values

`(8)/(YT)=(6)/(9)`

`YT=9(8)/6\\YT=12\ units`