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Answer:
The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).
Step-by-step explanation:
If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.
From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).
If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.
Midpoint formula.
Midpoint of DF,
Midpoint of EF,
Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).