I will be your fan and I will give a medal!!!!!!

My final problem that I am having trouble with!!!

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

I will be your fan and I will give a medal!!!!!!

My final problem that I am having trouble with!!!

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.

anonymous · Answer

@terenzreignz

anonymous · Answer

here is what I have so far

anonymous · Answer

So from constantly just Assuming that it's a continuous line, it would stay the same. But if it's a line segment then it would also dilate with the figure

anonymous · Answer

yes

terenzreignz · Answer

Of course. But by what scale factor?

anonymous · Answer

well, there is no picitre

anonymous · Answer

1/3

terenzreignz · Answer

That is right.
Essentially, what happens is that the line forms a new polygon, which should still be similar to the new polygon formed with the new (dilated) trapezoid, and should be just as proportional. ^^

anonymous · Answer

so the postition of the line does not change at all just the sides

anonymous · Answer

...

terenzreignz · Answer

just the length.

anonymous · Answer

what is the relationship with ZX??

anonymous · Answer

or did I just say that??

anonymous · Answer

lol

terenzreignz · Answer

It'd be scaled by the same scale factor.

anonymous · Answer

so that would be my answer??

terenzreignz · Answer

Part of it. I reckon this is supposed to be in some essay-like form.
Just expound.

anonymous · Answer

does this sound good??

anonymous · Answer

So from constantly just Assuming that it's a continuous line, it would stay the same. But if it's a line segment then it would also dilate with the figure. Essentially, what happens is that the line forms a new polygon, which should still be similar to the new polygon formed with the new (dilated) trapezoid, and should be just as proportional. the relationship between ZX and and the line also would be It'd be scaled by the same scale factor.

terenzreignz · Answer

Just name the line SEGMENT ZX and you're good to go.
I don't think there's really a need to bring up the infinite line.

terenzreignz · Answer

And you copied my words.
:P
I said use your own words XD

anonymous · Answer

So from constantly just Assuming that it's a continuous line, it would stay the same. But if it's a line segment then it would also dilate with the figure. Essentially, what happens is that the line forms a new polygon, which should still be similar to the new polygon formed with the new (dilated) trapezoid, and should be just as proportional. the relationship between Segment ZX and and the line also would be It'd be scaled by the same scale factor.

anonymous · Answer

better

terenzreignz · Answer

I suppose. Note that I haven't done this stuff in ages, so I guess you'd be wise to seek a second opinion.

And again... use your own words XD