Question

The image shown will undergo a dilation centered at point B, with a scale factor of 2. Which lines will not be changed by the transformation?

Answer 1

2 Answers:

Line AC (first choice)

Line BE (third choice)

========================================================

Reason:

Any line through the center of dilation will not be affected by shrinking or enlarging the figure. Point B is that center, so lines AC and BE will remain the same. The "before" and "after" pictures for these lines will be identical. Why? Because dilating points on these lines will move the points somewhere else along the same line.

In contrast, lines AE, CD, and DE will change because these lines don't go through the center of dilation point B.