Question

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

Answer 1

Answer:

(2.5, 2.5) and (2,0)

Step-by-step 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

$m=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )$

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

$m_{JK} =(\frac{1+4}{2} ,\frac{4+1}{2} )\\m_{JK} =(\frac{5}{2} ,\frac{5}{2} )\\m_{JK} =(2.5 ,2.5)$

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

$m_{LK} =(\frac{0+4}{2} ,\frac{-1+1}{2} )\\m_{LK} =(\frac{4}{2} ,\frac{0}{2} )\\m_{LK} =(2 ,0)$

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

Answer 2

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