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 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 length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

What is dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

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 to the AA Similarity Theorem

$\dfrac{XT}{YT}=\dfrac{X'T}{Y'T}$

substitute the given values

$\dfrac{8}{YT}=\dfrac{6}{9}$

$YT=\dfrac{9\times 8}{6}$

$YT=12\ units$

Hence the length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

To know more about dilation follow

brainly.com/question/10253650