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anonymous
 one year ago
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
 one year ago
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.

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2let's first draw `Isosceles trapezoid ABCD` dw:1443240259301:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443240338434:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2now let's have `line ZX drawn through its center` dw:1443240353329:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah so the line is going through the center of the trapezoid vertically

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2it doesn't have to, but it's the easier ways to draw it I think

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well the new trapezoid is 1/3 the original's size, but what about this new line's relation to line ZX?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what happens to A,B,C,D if we apply that scaling?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they should be the same proportionally right? but not the same length cause the shape has been dilated

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2it should be smaller, right? dw:1443240673390:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what do you notice about ZX and A'B'C'D' ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0line ZX cuts through the middle of A'B'C'D' just like ABCD, but is longer than the height of the new shape

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2it doesn't matter about the height the only thing that stays the same is that ZX still cuts through the center

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2actually I forgot to dilate Z and X they both move to their new points Z' and X' dw:1443240926820:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2everything gets 1/3 closer to the center

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the new line Z'X' is simply 1/3 the original length of line ZX?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2lines in geometry are infinitely long

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2if it were a line segment, then yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ZX is a line segment though, right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2but they call it `line ZX`. They don't use segment at all

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2`what relationship will the new line have with line ZX?` they both go through the same center point (which is the dilation center point)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Man, its too late for me to do this type of school work. I can't think that well apparently. So that's the answer and I just have to explain that in complete sentences?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright thanks for the help then, its much appreciated
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