Parallelogram RSTU is shown below with a line AB drawn through its center. If the parallelogram is dilated using a scale factor of 3 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line AB in the drawing below?

Question

anonymous · Answer

attachment

anonymous · Answer

i think maybe the two line will be intersecting each other?

anonymous · Answer

@phi  can you help

anonymous · Answer

Divides it into equal areas!!

phi · Answer

dilated using a scale factor of 3 
means you multiply the (x,y) values of the figure by 3
The parallelogram  gets 3 times wider and 3 times higher.

But it stays centered at 0.    |dw:1377978702075:dw|

phi · Answer

the dilation does not affect the center

anonymous · Answer

so it will stay the same?

phi · Answer

yes

anonymous · Answer

it says  what relationship will that line have with line AB thats what i dont get

phi · Answer

the line will be "coincident with line AB"  is one way to say it.

Or you could say, the line is congruent to line AB
or the line will lie on top of line AB

anonymous · Answer

ok thank you so much finally someone answered my question  i have one more question

anonymous · Answer

The image below shows two dilated figures with lines AB and CD drawn. If the larger figure is dilated using a scale factor of 3, what relationship do lines AB and CD have? Would this relationship hold true for all dilations?

phi · Answer

I think they are parallel, and will be for any dilation.

anonymous · Answer

thx again :DD