Quadrilateral UVWX is dilated by a scale factor of start fraction, 3, divided by, 4, end fraction 3/4 to form quadrilateral U'V'W'X'. What is the measure of side XU?

Answer 1

To find the measure of side XU in the dilated quadrilateral U'V'W'X', we need to understand that the sides of the original quadrilateral UVWX are proportional to the sides of the dilated quadrilateral U'V'W'X'.

Since the scale factor of the dilation is 3/4, each side of the dilated quadrilateral is 3/4 times the length of the corresponding side in the original quadrilateral.

Therefore, if the measure of side XU in the original quadrilateral UVWX is x, the measure of side XU in the dilated quadrilateral U'V'W'X' is:
x * 3/4 = 3x/4

So, the measure of side XU in the dilated quadrilateral U'V'W'X' is 3x/4.