Which statement proves that the dilation of A XY Z does not pass through the center of dilation?

Question

(1 point)
• XY has a length of 3 and X'Y' has a length of 1, which proves that A X'Y'Z' is a dilation of A XY Z by a scale factor of =
• XY has a length of 3 and X'Y' has a length of 1, which proves that A XY Z is a dilation of A X'Y'Z' by a scale factor of 3
XY and X'Y' both have an undefined slope with a center of dilation at (0, 0). This proves that the lines are parallel and that the dilation does not pass through the center of dilation.

Answer 1

The statement that proves that the dilation of \( A XYZ \) does not pass through the center of dilation is:

"XY and X'Y' both have an undefined slope with a center of dilation at (0, 0). This proves that the lines are parallel and that the dilation does not pass through the center of dilation."

This statement indicates that since the lines are parallel (having the same undefined slope), the dilation does not occur from the point (0, 0), which means it does not pass through the center of dilation.