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¯¯¯¯¯.