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

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

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

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

`\text{Midpoint of line segment JK}=((5)/(2),(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}=((0+4)/(2),(-1+1)/(2))`

`\text{Midpoint of line segment KL}=((4)/(2),(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).