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′⎯⎯⎯⎯⎯⎯⎯ ?

Y′Z′⎯⎯⎯⎯⎯⎯⎯ passes through point T but has a different slope than YZ⎯⎯⎯⎯⎯.

Y′Z′⎯⎯⎯⎯⎯⎯⎯ passes through point T and has the same slope as YZ⎯⎯⎯⎯⎯ .

Y′Z′⎯⎯⎯⎯⎯⎯⎯ does not pass through point T but has the same slope as YZ⎯⎯⎯⎯⎯.

Y′Z′⎯⎯⎯⎯⎯⎯⎯ does not pass through point T and has a different slope than YZ⎯⎯⎯⎯⎯.