Question

A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image?
A.) length = nx, slope = nm
B.) length = nx, slope = m
C.) length = x, slope = m
D.) length = x, slope = nm
E.) length = (n + m)x, slope = nm

Answer 1

The corresponding line segment is B. because the slope does not change. A dilation will always have the effect of shrinking or even stretching the line segment by the factor of n. That is why the length will nx and the slope is m.

Hope this helped.