Polygon JKLM is dilated by a scale factor of 2.5 with point C as the center of dilation, resulting in the image J′K′L′M′. If point C lies on line LM and the slope of line LM is 1.75, what can be said about line L'M' ?
A. Line L'M' has a slope of 1.75 but does not pass through point C.
B. Line L'M' has a slope of 2.5 but does not pass through point C.
C. Line L'M' has a slope of 1.75 and passes through point C.
D. Line L'M' has a slope of 2.5 and passes through point C.

Question

Polygon JKLM is dilated by a scale factor of 2.5 with point C as the center of dilation, resulting in the image J′K′L′M′. If point C lies on line LM and the slope of line LM  is 1.75, what can be said about line L'M'  ?
A. Line L'M' has a slope of 1.75 but does not pass through point C.
B. Line L'M' has a slope of 2.5 but does not pass through point C.
C. Line L'M' has a slope of 1.75 and passes through point C.
D. Line L'M' has a slope of 2.5 and passes through point C.

anonymous · Answer

@AccessDenied

accessdenied · Answer

This might make more sense pictorially.  Let's just throw some points in a plane and play a bit.
Currently, we have the line segment LM which crosses C.
|dw:1401210423659:dw|
What happens when we dilate points with respect to the center of dilation?  That just means they're being pushed toward or away from the center, right?