Question

select the correct answer from each drop - down menu.
a preimage includes a line segment with a length of x units and a slope of m units. the preimage is dilated by a scale factor of n.
of the corresponding line segment in the image is units. the slope of the corresponding line segment in the image is

Explanation:

Step1: Length after dilation

When a figure is dilated by a scale factor \(n\), the length of a line segment changes by the scale factor. If the original length is \(x\), the new length is \(nx\).

Step2: Slope after dilation

Dilation is a similarity transformation. It does not change the orientation of the line segment. The slope of a line segment is a measure of its steepness and orientation. Since dilation only changes the size (length) and not the orientation, the slope remains \(m\).

Answer:

The length of the corresponding line segment in the image is \(nx\) units. The slope of the corresponding line segment in the image is \(m\).