The coordinates of the endpoints of the midsegment for △LMN that is parallel to LN are (3, 4.5) and (3, 3).
Explanation:
Given that △LMN
We need to determine the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN
The midsegment of the triangle parallel to side LN is the midsegment connecting the midpoint of side LM and the midpoint of side MN.
The midpoint of LM is given by
Simplifying, we get,
The midpoint of MN is given by
Thus, the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN are (3, 4.5) and (3, 3).