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

To find the coordinates of the endpoints of the midsegment of a triangle △JKL that is parallel to the side JL, you need to follow these steps:

1. Find the midpoint of the two sides that intersect at vertex J and vertex L. Let's name the vertices of the triangle as follows: J(x₁, y₁), K(x₂, y₂), L(x₃, y₃).

2. Calculate the midpoint of segment JK, which we'll name M. To find the midpoint M, use the midpoint formula on coordinates J(x₁, y₁) and K(x₂, y₂): Mx = (x₁ + x₂) / 2 My = (y₁ + y₂) / 2 So, M(Mx, My)

3. Calculate the midpoint of segment KL, which we'll name N. To find the midpoint N, use the midpoint formula on coordinates K(x₂, y₂) and L(x₃, y₃): Nx = (x₂ + x₃) / 2 Ny = (y₂ + y₃) / 2 So, N(Nx, Ny)

4. The line joining the midpoints M and N is the midsegment that you're looking for. Thus, the coordinates of the endpoints of the midsegment are M(Mx, My) and N(Nx, Ny).