Question

What are the endpoint coordinates for the midsegment of △JKL that is parallel to JL¯¯¯¯¯? Enter your answer, as a decimal or whole number, in the boxes.

Answer 1

2.5, 2.5

2, 0

I took it so I know.

Answer 2

Answer:

(2.5,2.5) , (2,0).  

Step by step explanation:

Since we know that triangle mid-segment theorem states that the segment joining mid points of two sides of a triangle will be parallel to third side of the triangle.

Let us find midpoints of line segment JK and KL using segment midpoint formula.

$m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$  

Upon substituting our coordinates of line segment JK we will get,

$\text{Midpoint of line segment JK}=(\frac{1+4}{2},\frac{4+1}{2})$

$\text{Midpoint of line segment JK}=(\frac{5}{2},\frac{5}{2})$

$\text{Midpoint of line segment JK}=(2.5, 2.5)$

Now let us find coordinates of midpoint of line segment KL.    

$\text{Midpoint of line segment KL}=(\frac{0+4}{2},\frac{-1+1}{2})$

$\text{Midpoint of line segment KL}=(\frac{4}{2},\frac{0}{2})$

$\text{Midpoint of line segment KL}=(2,0)$          

Therefore, the endpoint coordinates for the mid-segment of triangle JKL that is parallel to JL will be (2.5,2.5) , (2,0).