Isosceles trapezoid ABCD is constructed with line ZX drawn through its center. If the isosceles trapezoid is dilated using a scale factor of one over three and a line is drawn through the center of the new dilated figure, what relationship will the new line have with line ZX? Explain your reasoning using complete sentences.

Question

michele_laino · Answer

hint:
since we are performing a dilation, then every segment is dilated with the same ratio

danjs · Answer

does it matter where the dilation origin point is located?

danjs · Answer

if the dilation point is right at the center of the shape , then the center line wouldnt move, 
if the dilation point is anywhere else,  the thing will translate and the center line will move parallel to the original,

dilation changes all distances with respect to the point of dilation...

i think.. check it

danjs · Answer

similar shape, zoomed in or out about some point,  can it rotate from this transform ?

bia_gonzalex · Answer

so whats the answer?

bia_gonzalex · Answer

@DanJS

michele_laino · Answer

hint:
the ratio between new lines over the corresponding old lines has to be equal to $1/3$, since we are performing a dilation

danjs · Answer

i think if the dilation focus point is on the center line, then ZX line will stay the same..
If not, then zx line will shift left or right, parallel to the old zx