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 (x, or nx) units. The slope of the corresponding line segment in the image is (m, or nm) .
Answer:
Slope becomes m
length becomes nx
Step-by-step explanation:
Slope:
We know that
slope is the ratio of change in y-value and change in x-value
so, dilation do not change slope of any line
so, after dilation
m---->m
Length of line:
we know that
A dilation has the effect of stretching or shrinking the line segment by the factor of m units
we are given
length of line =x
so, it's length will become
\(=n\times x\)
\(=nx\)