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. the length of the corresponding line segment in the image is drop - down options: x, nx units. the slope of the corresponding line segment in the image is drop - down .

Explanation:

Step1: Find dilated segment length

When a figure is dilated by a scale factor \(n\), all linear dimensions are multiplied by \(n\). The original length is \(x\), so the new length is \(x \times n = nx\).

Step2: Find dilated segment slope

Dilation is a similarity transformation that preserves the slope of line segments. The original slope is \(m\), so 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 \(m\) units.