Question

What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to DE¯¯¯¯¯?

Answer 1

(-1, 2) and (-1, 3.5)

Explanation:

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Answer 2

The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).

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=((x_1+x_2)/(2),(y_1+y_2)/(2))`

Midpoint of DF,

`Midpoint=((1-3)/(2),(4+3)/(2))`

`Midpoint=(-1,3.5)`

Midpoint of EF,

`Midpoint=((1-3)/(2),(1+3)/(2))`

`Midpoint=(-1,2)`

Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).