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'¯¯¯¯¯¯¯ ?
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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¯¯¯¯¯.
those are the answers
The answer is B because dilating a figure will not change its slopes since the figure just gets bigger, and the size changes. For example, the 4 individual line segments may get longer but they will not change in slope unless the figure is translated or rotated.
Also, since Point T lies on YZ, It will also lie on Y'Z', but the point T will have a longer distance between Y' and Z'