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.

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.