David, for clarification, neither line AB, nor line A'B' pass through the origin. The center of the dilation applied is at the origin. Please review what this means.

Question

You earned half credit. You are correct that applying a dilation with a scale factor of 3 results in a distance between points A' and B' that is three times larger. This earned you one point. You earned another for attempting to respond to the other parts of the question.

Note: There is no '13' in this problem; you were to discuss a scale factor of a fraction, one-third (1/3)

Answer 1

Thank you for the clarification. I will make sure to review and understand that the center of the dilation is at the origin, and that neither line AB nor line A'B' passes through the origin. I will also remember to consider the scale factor of 1/3 in future discussions. Thank you for the feedback.

Answer 2

Answer the question

Answer 3

I apologize for not fully addressing the question in my previous response. When a dilation with a scale factor of 1/3 is applied, the distance between points A' and B' will be one-third of the original distance between points A and B. This means that the image produced by the dilation will be smaller than the original figure. Additionally, since the center of the dilation is at the origin, the points A' and B' will be located on the same lines as points A and B, but at a distance that is one-third of the original distance from the origin. Thank you for the opportunity to provide a more complete answer.