Question

Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point T lies on YZ¯¯¯¯¯, what can be said about Y'Z'¯¯¯¯¯¯¯ ?

Answer 1

Since the whole figure including all the points is enlarged at the same time, the dilated figure will still have the same slope and that includes the fact that point T is still in line Y'Z'. The slope or shape does not change, only the size alters.The center of dilation is still at Point T in this case.

Answer 2

There’s not much that’s happening on Y'Z'¯¯¯¯¯¯¯ because nothing has changed on its slope and shape. However, its shape seems to change. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.