for which segment lengths is ln parallel to xy ?
select parallel or not parallel for each set of given information.

Step-by-step explanation:

The two lines are parallel in the triangle if they satisfy the basic proportionality theorem that  is:

Now, different segments lengths are given as:

(A) LX=2, XM=7, NY=4 and YM=14

Applying the basic proportionality theorem,

Hence, The line segment LN is parallel to XY.

(B) LX=2, XM=6, NY=3 and YM=9

Applying the basic proportionality theorem,

Hence, The line segment LN is parallel to XY.

(C) LX=2, XM=3, NY=4 and YM=7

Applying the basic proportionality theorem,

Hence, The line segment LN is not parallel to XY.

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