For which segment lengths is LN⎯⎯⎯⎯⎯ parallel to XY⎯⎯⎯⎯⎯? A triangle with vertices labeled as M, L, and N. Side L N is base. Sides M L and M N contain midpoints X and Y, respectively. A line segment is drawn from X to Y.

Select Parallel or Not parallel for each set of given information.

Segment lengths Parallel Not parallel
LX=2, XM=7, NY=4, YM=14

Parallel – LX=2, XM=7, NY=4, YM=14
Not parallel – LX=2, XM=7, NY=4, YM=14
LX=2, XM=6, NY=3, YM=9

Parallel – LX=2, XM=6, NY=3, YM=9
Not parallel – LX=2, XM=6, NY=3, YM=9
LX=2, XM=3, NY=4, YM=7

Parallel – LX=2, XM=3, NY=4, YM=7
Not parallel – LX=2, XM=3, NY=4, YM=7