Arectangle is dilated by a factor of 4. each point in the image is from the origin as its corresponding pre-image point. from the following, which is the corrent a. eight times further b. four times further c. four times closer d. eight times closer

Option: B is the correct answer.

B.    four times further

It is given that:

A rectangle is dilated by a factor of 4.

This means that each of the side of the rectangle is increased by a multiple of 4 i.e. the image of the figure enlarges.

This means that the distance of any point in the image from the origin will be four times the distance of it's corresponding point in the original figure from the origin.

              Hence the answer is: Option: B