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

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

let's first draw `Isosceles trapezoid ABCD`

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jim_thompson5910 · Answer

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jim_thompson5910 · Answer

now let's have `line ZX drawn through its center`

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anonymous · Answer

ah so the line is going through the center of the trapezoid vertically

jim_thompson5910 · Answer

it doesn't have to, but it's the easier ways to draw it I think

anonymous · Answer

well the new trapezoid is 1/3 the original's size, but what about this new line's relation to line ZX?

jim_thompson5910 · Answer

what happens to A,B,C,D if we apply that scaling?

anonymous · Answer

they should be the same proportionally right? but not the same length cause the shape has been dilated

jim_thompson5910 · Answer

it should be smaller, right?

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