The image below shows two dilated figures with lines wx and w'x' drawn. if the larger figure was dilated using a scale factor of 4, what relationship do lines wx and w'x'have?

Line W'X' is 4 times longer than line WX.

Step-by-step explanation:

When we dilate a figure by a scale factor, the side length increases by that scale factor. If the length was 1 before the dilation, and the scale factor is 2, the length would be 2 after the dilation because 1*2=2. Assuming that WX and W'X' are sides of the figure because no image was provided, the dilated side should be 4 times longer.

The lines would be parallel

Step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)