Question

What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

Answer 1

The coordinates of the endpoints of the midsegment of triangle JKL that is parallel to KL can be found using the midpoint formula.

Step-by-step explanation:

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. In this case, we are looking for the midsegment of triangle JKL that is parallel to side KL. Since the midsegment is parallel to KL, it is also half the length of KL. Therefore, the coordinates of the endpoints of the midsegment are the midpoints of KL. Given the coordinates of point K (x1, y1) and point L (x2, y2), the coordinates of the midpoint M can be found using the midpoint formula:

x-coordinate of M = (x1 + x2) / 2

y-coordinate of M = (y1 + y2) / 2

Answer 2

The line KL is 4 units long (4 squares on the graph, which are all the same size).
Parallel to line KL would be line JX, where J and X are on the same distnce from LK.

J is 4 squares distanced from L. J is the point (-2,-1).
The other point would be X( 2,-1).