Question

What are the endpoint coordinates for the midsegment of
△JKL that is parallel to line JL?

Answer 1

(2.5, 2.5) and (2, 0)
But you knew that already
sorry

Answer 2

(2.5, 2.5) and (2,0)

Explanation:

The midsegment of △JKL that is parallel to line JL, it's a segment that begins at JK side and ends at LK side. This means we just need to find the coordinates of JK and LK midpoints.

The formula for midpoints is

`m=((x_(1)+x_(2) )/(2) ,(y_(1)+y_(2) )/(2) )`

So, for JK, points are J(1,4) and K(4,1). Replacing in the formula, we have

`m_(JK) =((1+4)/(2) ,(4+1)/(2) )\\m_(JK) =((5)/(2) ,(5)/(2) )\\m_(JK) =(2.5 ,2.5)`

For LK, points are L(0,-1) and K(4,1)

`m_(LK) =((0+4)/(2) ,(-1+1)/(2) )\\m_(LK) =((4)/(2) ,(0)/(2) )\\m_(LK) =(2 ,0)`

This means that the endpoint coordinates for the midsegment that is parallel to JL are (2.5, 2.5) and (2,0).