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?
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Divides it into equal areas!!
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|
the dilation does not affect the center
so it will stay the same?
it says what relationship will that line have with line AB thats what i dont get
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
ok thank you so much finally someone answered my question i have one more question
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?