If jk has endpoints j(-2,3) and k(6,5), and ln has endpoints l(0,7) and n(4,1), then jk and ln have the same midpoint.

Yes, JK and LN have the same midpoint

Step-by-step explanation:

In order to demonstrate that JK and LN have the same midpoint, we have to find their midpoints

The coordinates of the midpoint of a segment are:

Where are the coordinates of the initial point and the coordinates of the endpoint

Step 1: Find the  JK's midpoint

For this segment:

J(-2,3); then and

K(6,5); then and  

The coordinates of the midpoint are:

Step 2: Find the LN's midpoint

For this segment:

L(0,7); then and

N(4,1); then   and

The coordinates of the midpoint are:

Therefore JK's Midpoint and LN's Midpoint are the same