The line shown has a slope of between point L and point N and between point Q and point S. A. mn/lm =qr/qs B.lm/ln=qs/qr C.mn/lm=rs/qr D.lm/mn=rs/qr
The given information states that the line has the same slope between point L and point N and between point Q and point S. This means that the ratio of the change in y-coordinates to the change in x-coordinates is the same for both pairs of points.
Let's analyze each option:
A. mn/lm = qr/qs: This is not correct because the ratio is comparing different pairs of points (mn and lm versus qr and qs).
B. lm/ln = qs/qr: This is not correct because the ratio is comparing different pairs of points (lm and ln versus qs and qr).
C. mn/lm = rs/qr: This is correct because it compares the change in y-coordinates between point M and point N (mn) to the change in x-coordinates between point L and point M (lm), just like it compares the change in y-coordinates between point Q and point R (rs) to the change in x-coordinates between point Q and point S (qr).
D. lm/mn = rs/qr: This is not correct because the ratio is comparing different pairs of points (lm and mn versus rs and qr).
Therefore, the correct option is C. mn/lm = rs/qr.