Question

20 POINTS! Please help me! :D (Explain please)

Answer 1

Simple, dilation is not too hard to understand but sometimes it may be tricky. In this case it stretched the original figure. Since the image was stretched we know that the scale factor, k, is bigger than 1. Also, in most cases dilations involve multiplication. That being said, the answer to square DEFG being dilated, is 3.

Answer 2

Well,

If two images are similar, then the ratios of their respective sides must be equal.  So is EF is 2 units long and E'F' is 6 units long, and the images are similar, we can use this info to determine the ratio of the preimage to the dilated image.  We obviously know that E'F' is bigger, per the attachment.

6 = 3(2)

Therefore, E'F' is 3 times as long as EF, and that makes image D'E'F'G' larger by a scale factor (ratio) of 3.

The correct option is D.