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

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

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@Hero

anonymous · Answer

@Luigi0210

jim_thompson5910 · Answer

Any ideas?

anonymous · Answer

i have no clue how to do this stuff

jim_thompson5910 · Answer

replace n with any number you want

jim_thompson5910 · Answer

what number do you want to pick?

anonymous · Answer

i thank its d butim probly wrong

jim_thompson5910 · Answer

is that a guess? or do you have any reasoning behind it?

anonymous · Answer

guessing to be honest cause i dnt understand any of this

jim_thompson5910 · Answer

go back to the problem with AB and A'B'

jim_thompson5910 · Answer

what was true about the slopes of each?

anonymous · Answer

so is the answer b

jim_thompson5910 · Answer

yes, the scale factor makes the length go from x to nx (n times x)

example: scale factor of 3:   x---> 3x (3 times longer)

jim_thompson5910 · Answer

slope stays the same

anonymous · Answer

okay :)